Knowledge

Craps

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most the table maximum. Players may bet both the Come and Don't Come on the same roll if desired. Come bets can only be made after a point has been established since, on the come-out roll, a Come bet would be the same thing as a Pass line bet. A player making a Come bet will bet on the first point number that "comes" from the shooter's next roll, regardless of the table's round. If a 7 or 11 is rolled on the first round, it wins. If a 2, 3, or 12 is rolled, it loses. If instead the roll is 4, 5, 6, 8, 9, or 10, the Come bet will be moved by the base dealer onto a box representing the number the shooter threw. This number becomes the "come-bet point" and the player is allowed to take odds, just like a Pass line bet. Also like a Pass line bet, the come bet is a contract bet and is always working, and cannot be turned "Off", removed or reduced until it wins or loses. However, the odds taken behind a Come bet can be turned "Off" (not working), removed or reduced anytime before the bet loses. In Las Vegas generally odds bets are required to be the table minimum. In Atlantic City and Pennsylvania, the combine odds and Pass bet must be table minimum so players can bet the minimum single unit depending on the point. If the point is a 4 or 10, players can bet as little as $ 1 if the table minimum is low such as $ 5, $ 10, or $ 15 minimums. If the player requests the Come odds to be not working ("Off") and the shooter sevens-out or hits the Come bet point, the Come bet will be lost or doubled and the Come odds returned. If the casino allows put betting a player may increase a Come bet after a point has been established and bet larger odds behind if desired. Put betting also allows a player to bet on a Come and take odds immediately on a point number without a Come bet point being established.
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a Don't Come are subject to the same rules as Don't Pass lay odds. Unlike a standard lay bet on a point, lay odds behind a Don't Come point does not charge commission (vig) and gives the player true odds. Like the Don't Pass line bet, Don't Come bets are no-contract, and can be removed or reduced after a Don't Come point has been established, but cannot be turned off ("not working") without being removed. A player may also call, "No Action" when a point is established, and the bet will not be moved to its point. This play is not to the player's advantage. If the bet is removed, the player can no longer lay odds behind the Don't Come point and cannot restore or increase the same Don't Come bet. Players must wait until next roll as long as a Pass line point has been established (players cannot bet Don't Come on come out rolls) before they can make a new Don't Come bet. Las Vegas casinos which allow put betting allows players to move the Don't Come directly to any Come point as a put; however, this is not allowed in Atlantic City or Pennsylvania. Unlike the Don't Come bet itself, the Don't Come odds can be turned "Off" (not working), removed, or reduced if desired. In Las Vegas, players generally must lay at least table minimum on odds if desired and win less than table minimum; in Atlantic City and Pennsylvania a player's combined bet must be at least table minimum, so depending on the point number players may lay as little as 2 minimum units (e.g. if the point is 4 or 10). If the player requests the Don't Come odds be not working ("Off") and the shooter hits the Don't Come point or sevens-out, the Don't Come bet will be lost or doubled and the Don't Come odds returned.
1600:(also Hop, or Hopping) A single roll bet on any particular combination of the two dice on the next roll including combinations whose sum is 7 (e.g. 4 and 3). For example, if someone bets on "5 and 1" on the hop, they are betting that the next roll will have a 5 on one die and a 1 on the other die. The bet pays 15:1 on easy ways (same as a bet on 3 or 11). Hard ways hop pays 30:1 (e.g., 3 and 3 on the hop, same as a bet on 2 or 12). The true odds are 17:1 and 35:1, resulting in a house edge of 11.11% and 13.89% respectively. When presented, hop bets are located at the center of the craps layout with the other proposition bets. If hop bets are not on the craps layout, they still may be bet on by players but they become the responsibility of the boxman to book the bet. Sometimes players may request to hop a whole number. In this case the money on the bet different combinations. For example, if a player says "hop the tens" (6–4, 5–5, 4–6) the player must give the dealer an even number bet so it can be divided among the hard and easy ways. If the player gives $ 10, $ 5 would be placed on the easy ways 10 with 15:1 odds and $ 5 would be placed on the hard way with 30:1 odds. If a player wishes to "hop the sevens" there would be three different combinations and six possible ways to roll a 7 (6–1, 5–2, 4–3, 3–4, 2–5, 1–6) therefore the player should bet in multiples of 3 so the bet can be divided among each combination with a 15:1 payout minus the other two bets, otherwise if players does not bet in multiples of 3, they would specific which combination has additional units. 1378:
payout is reversed. Therefore, players get 1 to 2 for the numbers 4 and 10, 2 to 3 for the numbers 5 and 9, and 5 to 6 for the numbers 6 and 8. A 5% commission (vigorish, vig, juice) is charged up front on the possible winning amount. For example: A $ 40 Lay Bet on the 4 would pay $ 20 on a win. The 5% vig would be $ 1 based on the $ 20 win. (not $ 2 based on the $ 40 bet as the way buy bet commissions are figured.) Like the buy bet the commission is adjusted to suit the betting unit such that fraction of a dollar payouts are not needed. Casinos may charge the vig up front thereby requiring the player to pay a vig win or lose, other casinos may only take the vig if the bet wins. Taking vig only on wins lowers house edge. Players may removed or reduce this bet (bet must be at least table minimum) anytime before it loses. Some casinos in Las Vegas allow players to lay table minimum plus vig if desired and win less than table minimum. Lay bet maximums are equal to the table maximum win, so if a player wishes to lay the 4 or 10, he or she may bet twice at amount of the table maximum for the win to be table maximum. Other casinos require the minimum bet to win at $ 20 even at the lowest minimum tables in order to match the $ 1 vig, this requires a $ 40 bet. Similar to buy betting, some casinos only take commission on win reducing house edge. Unlike place and buy bets, lay bets are always working even when no point has been established. The player must specify otherwise if he or she wishes to have the bet not working.
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maximum lay bet will be expressed such that a player may win up to an amount equal to the maximum odds multiple at the table. If a player lays maximum odds with a point of 4 or 10 on a table offering five-times odds, he would be able to lay a maximum of ten times the amount of his Don't Pass bet. At 5x odds table, the maximum amount the combined bet can win will always be 6x the amount of the Don't Pass bet. Players can bet table minimum odds if desired and win less than table minimum. Like the Don't Pass bet the odds can be removed or reduced. Unlike the Don't Pass bet itself, the Don't Pass odds can be turned "Off" (not working). In Las Vegas generally odds bets are required to be the table minimum. In Atlantic City and Pennsylvania, the combine lay odds and Don't Pass bet must be table minimum so players may bet as little as the minimum two units on odds depending on the point. If the point is a 4 or 10 players can bet as little as $ 2 if the table minimum is low such as $ 5, $ 10 or $ 15 tables. If the player requests the Don't Pass odds to be not working ("Off") and the shooter hits the point or sevens-out, the Don't Pass bet will be lost or doubled and the Don't Pass odds returned. Unlike a standard lay bet on a point, lay odds behind the Don't Pass line does not charge commission (vig).
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the total bet for craps and 15:1 minus half the total bet payout on half the total bet for 11 (yo). For example, using this method if a player were to bet $ 2 on C & E, $ 1 would receive 7:1 payout on craps minus $ 1 for the bet on 11 so the total profit would be $ 6. If an 11 was rolled the player would receive 15:1 minus $ 1 for the bet on craps so the player's total profit is $ 14. Both methods of calculation yield the same result so either method can be used. If a player wishes to take the bet down after a win the player would receive the whole bet not half even though only one of the two bets can win per roll. The minimum bet on C & E is double the lowest unit bet allowed at the table. So if the minimum single roll bet is $ 1 the lowest C & E bet allowed would be $ 2. Players are, however, able to make odd number bets larger than $ 2 if desired. One of the two bets will always lose, the other may win.
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payout as a single bet on the specific numbers, 30:1 for 2 and 12 minus the other three bets, 15:1 for 3 and 11 minus the other three bets. If a player wins the bet he can take down all four bets instead of a single bet even though only one bet can win per roll. Many players, in order to eliminate the confusion of tossing four chips to the center of the table or having change made while bets are being placed, will make a five-unit Horn High bet, which is a four-way bet with the extra unit going to one specific number. For example, if one tosses a $ 5 chip into the center and says "horn high yo", they are placing four $ 1 bets on each of the horn numbers and the extra dollar will go on the yo (11). Horn bets are generally required to be in multiples of 4 or 5 with the minimum bet being 4 times the minimum unit allowed. For example, if the single roll minimum at the table is $ 1 the Horn bet must be $ 4 or more.
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rolled (the point is made) and pays at the true odds of 2-to-1 if 4 or 10 is the point, 3-to-2 if 5 or 9 is the point, or 6-to-5 if 6 or 8 is the point. Unlike the Pass line bet itself, the Pass line odds bet can be turned "Off" (not working), removed or reduced anytime before it loses. In Las Vegas, generally odds bets are required to be the table minimum. In Atlantic City and Pennsylvania, the combine odds and Pass bet must be table minimum so players can bet the minimum single unit on odds depending on the point. If the point is a 4 or 10, players can bet as little as $ 1 on odds if the table minimum is low such as is $ 5, $ 10 or $ 15. If the player requests the Pass odds be not working ("Off") and the shooter sevens-out or hits the point, the Pass line bet will be lost or doubled and the Pass odds returned.
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casinos require the minimum buy bet amount to be at least $ 20 to match the $ 1 charged on the 5% commission. Traditionally, the buy bet commission is paid no matter what, but in recent years a number of casinos have changed their policy to charge the commission only when the buy bet wins. Some casinos charge the commission as a one-time fee to buy the number; payouts are then always at true odds. Most casinos usually charge only $ 1 for a $ 25 green-chip bet (4% commission), or $ 2 for $ 50 (two green chips), reducing the house advantage a bit more. Players may remove or reduce this bet (bet must be at least table minimum excluding vig) anytime before it loses. Buy bets like place bets are not working when no point has been established unless the player specifies otherwise.
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established or player's choice. Place and buy bets are working by default when a point is established and not working when the point is off unless the player specifies otherwise. Lay bets are always working even if a point has not been established unless the player requests otherwise. At any time, a player may wish to take any bet or bets out of play. The dealer will put an "Off" button on the player's specific bet or bets; this allows the player to keep his chips on the board without a live wager. For example, if a player decides not to wager a place bet mid-roll but wishes to keep the chips on the number, he or she may request the bet be "not working" or "Off". The chips remain on the table, but the player cannot win from or lose chips which are not working.
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the table minimum and at most the table maximum. A Don't Come bet is played in two rounds. If a 2 or 3 is rolled in the first round, it wins. If a 7 or 11 is rolled, it loses. If a 12 is rolled, it is a push (subject to the same 2/12 switch described above for the Don't Pass bet). If, instead, the roll is 4, 5, 6, 8, 9, or 10, the Don't Come bet will be moved by the base dealer onto a box representing the number the shooter threw. The second round wins if the shooter rolls a seven before the Don't Come point. Like the Don't Pass each player may only make one Don't Come bet per roll, this does not exclude a player from laying odds on an already established Don't Come points. Players may bet both the Don't Come and Come on the same roll if desired.
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on their first roll and subsequent rolls. The first roll of a Pass line bet is 2:1 advantage for the player (8 wins, 4 losses), but it is "paid for" by subsequent rolls that are at the same disadvantage to the player as the Don't Pass bets were at an advantage. As such, they cannot profitably let the player take down the bet after the first roll. Players can bet or lay odds behind an established point depending on whether it was a Pass/Come or Don't Pass/Don't Come to lower house edge by receiving true odds on the point. Casinos which allow put betting allows players to increase or make new pass/come bets after the come-out roll. This bet generally has a higher house edge than place betting, unless the casino offers high odds.
392:. Although in hazard the dice shooter may choose any number from five to nine to be his main number, de Marigny simplified the game such that the main number is always seven, which is the mathematically optimal choice (choice with the lowest disadvantage for the shooter). Both hazard and its simpler derivative were unfamiliar to and rejected by Americans of his social class, leading de Marigny to introduce his novelty to the local underclass. Field hands taught their friends and deckhands, who carried the new game up the Mississippi River and its tributaries. Celebrating the popular success of his novelty, de Marigny gave the name Rue de Craps to a street in his new subdivision in New Orleans. 642:
warnings before enforcing the dice to hit the back wall and are generally lenient if at least one die hits the back wall. Both dice must be tossed in one throw. If only one die is thrown the shot is invalid. A come-out roll of 2, 3, or 12 is called "craps" or "crapping out", and anyone betting the Pass line loses. On the other hand, anyone betting the Don't Pass line on come out wins with a roll of 2 or 3 and ties (pushes) if a 12 is rolled. Shooters may keep rolling after crapping out; the dice are only required to be passed if a shooter sevens out (rolls a seven after a point has been established). A come-out roll of 7 or 11 is a "
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roll) before rolling a seven, the Pass line wins and a new round starts. If the shooter rolls any seven before repeating the point number (a "seven-out"), the Pass line loses, the Don't Pass line wins, and the dice pass clockwise to the next new shooter for the next round. Once a point has been established, any multi-roll bet (including Pass and/or Don't Pass line bets and odds) are unaffected by the 2, 3, 11, or 12; the only numbers which affect the round are the established point, any specific bet on a number, or any 7. Any single roll bet is always affected (win or lose) by the outcome of any roll.
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Put betting also allows players to increase an existing come bet for additional odds after a come point has been established or make a new come bet and take odds immediately behind if desired without a come bet point being established. If increased or added put bets on the Pass line and Come cannot be turned "Off", removed or reduced, but odds bet behind can be turned "Off", removed or reduced. The odds bet is generally required to be the table minimum. Player cannot put bet the Don't Pass or Don't Come. Put betting may give a larger house edge over place betting unless the casino offers high odds.
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and 11) and pushing one (12) out of the 36 possible rolls. On the other 24 rolls that become a point, their Don't Pass bet is now to their advantage by 6:3 (4 and 10), 6:4 (5 and 9) and 6:5 (6 and 8). If a player chooses to remove the initial Don't Come and/or Don't Pass line bet, he or she can no longer lay odds behind the bet and cannot re-bet the same Don't Pass and/or Don't Come number (players must make a new Don't Pass or come bets if desired). However, players can still make standard lay bets odds on any of the point numbers (4,5,6,8,9,10).
342: 2974:. Most casinos have a limit on how large the odds bet can be in relation to the line bet, with single, double, and five times odds common. Some casinos offer 3–4–5 odds, referring to the maximum multiple of the line bet a player can place in odds for the points of 4 and 10, 5 and 9, and 6 and 8, respectively. During promotional periods, a casino may even offer 100x odds bets, which reduces the house edge to almost nothing, but dramatically increases variance, as the player will be betting in large betting units. 662:
and Don't Come may be however larger than the odds offered allows and can be greater than the table maximum in some casinos. Don't odds are capped on the maximum allowed win some casino allow the odds bet itself to be larger than the maximum bet allowed as long as the win is capped at maximum odds. Single rolls bets can be lower than the table minimum, but the maximum bet allowed is also lower than the table maximum. The maximum allowed single roll bet is based on the maximum allowed win from a single roll.
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handled by the dealers or stickman, the field bet is placed directly by the player. Players identify their Field bets by placing them in the Field area directly in front of them or as close to their position as possible. The initial bet and/or any payouts can "ride" through several rolls until they lose, and are assumed to be "riding" by dealers. It is thus the player's responsibility to collect their bet and/or winnings immediately upon payout, before the next dice roll, if they do not wish to let it ride.
403:, which in aristocratic London had been the epithet for the numbers two and three. In hazard, both "crabs" are always instant-losing numbers for the first dice roll regardless of the shooter's selected main number. Also in hazard, if the main number is seven then the number twelve is added to the crabs as a losing number on the first dice roll. This structure is retained in the simplified game called pass. All three losing numbers on the first roll of pass are jointly called the craps numbers. 3259:
between rolls), or in the rails around the top of the table where players chips are kept. If one or both dice hits a player or dealer and rolls back onto the table, the roll counts as long as the person being hit did not intentionally interfere with either of the dice, though some casinos will rule "no roll" for this situation. If one or both leave the table, it is also a "no roll", and the dice may either be replaced or examined by the boxman and returned to play.
5488: 417:, which brought most young American men of every social class into the military. The street version of craps was popular among service members who often played it using a blanket as a shooting surface. Their military memories led to craps becoming the dominant casino game in postwar Las Vegas and the Caribbean. After 1960, a few casinos in Europe, Australia, and Macau began offering craps, and, after 2004, online casinos extended the game's spread globally. 1010:; it is also called "midnight", referring to twelve o'clock; and also as "double-action field traction", because of the (standard) 2-to-1 pay on Field bets for this roll and the fact that the arrangement of the pips on the two dice, when laid end-to-end, resemble tire tracks. On tables that pay triple the field on a twelve roll, the stickman will often loudly exclaim "triple" either alone or in combination with "12 craps 12" or "come away triple". 4967: 5508: 3476: 3390: 3083: 2992: 1833: 1754: 1622: 1468: 1274: 1042: 561: 245: 4723: 5518: 5498: 895: 867: 842: 820: 801: 785: 774: 765: 756: 747: 738: 729: 1188:, this is not allowed. Even though players are allowed to remove the Don't Pass line bet after a point has been established, the bet cannot be turned "Off" without being removed. If a player chooses to remove the Don't Pass line bet, he or she can no longer lay odds behind the Don't Pass line. The player can, however, still make standard lay bets on any of the point numbers (4, 5, 6, 8, 9, 10). 106: 47: 3293:
Eight", which will be understood to mean one chip for the player and one chip for the dealers. Players may also place a stack of chips for a bet as usual, but leave the top chip off-center and announce "on top for the dealers". The dealer's portion is often called a "toke" bet, which comes from the practice of using $ 1 slot machine tokens to place dealer bets in some casinos.
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bet allowed is also lower than the table maximum. The maximum bet is based on the maximum allowed win from a single roll. The lowest single-roll bet can be a minimum one unit bet. For example, tables with minimums of $ 5 or $ 10 generally allow minimum single-roll bets of $ 1. Single bets are always working by default unless the player specifies otherwise. The bets include:
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7 is rolled. These bets are considered working bets, and will continue to be paid out each time a shooter rolls the number bet. On a come-out roll, a place bet is considered to be not in effect unless the player who made it specifies otherwise. This bet may be removed or reduced at any time until it loses; in the latter case, the player must abide by any table minimums.
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house. In Bank Craps, the dice are thrown over a wire or a string that is normally stretched a few inches from the table's surface. The lowest house edge (for the Pass/Don't Pass) in this variation is around 1.4%. Generally, if the word "craps" is used without any modifier, it can be inferred to mean this version of the game, to which most of this article refers.
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craps. The table layout is also different, and is called a double-end-dealer table. This variation is different from the original craps game in several ways, but the primary difference is that New York craps does not allow Come or Don't Come bets. New York Craps Players bet on box numbers like 4, 5, 6, 8, 9, or 10. The overall house edge in New York craps is 5%.
3556:). The person covering the shooter will always bet against the shooter. For example, if the shooter made a "Pass" bet, the person covering the shooter would make a "Don't Pass" bet to win. Once the shooter is covered, other players may make Pass/Don't Pass bets, or any other proposition bets, as long as there is another player willing to cover. 1410:
wins. A $ 30 put bet would be a $ 5 flat line bet plus $ 25 (5-times) in odds, and also would pay $ 35 if it wins. Now, with a $ 60 bet on the six, the place bet wins $ 70, where the put bet ($ 5 + $ 55 in odds) would pay $ 71. The player needs to be at a table which not only allows put bets, but also high-times odds, to take this advantage.
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additional group of bets which are used by players from both ends. The vertical walls at each end are usually covered with a rubberized target surface covered with small pyramid shapes to randomize the dice which strike them. The top edges of the table walls have one or two horizontal grooves in which players may store their reserve chips.
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as well as disputes over the amount that the player intended to bet after the outcome has been decided. Some casinos choose to allow call bets once players have bought-in. When allowed, they are usually made when a player wishes to bet at the last second, immediately before the dice are thrown, to avoid the risk of obstructing the roll.
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field" would be a more common call when not on the comeout roll to remind the dealers to pay double on the field bets and encourage the field bettor to place subsequent bets and/or when no crap bets have been placed. Another name for the two is "loose deuce" or "Snickies" due to it sounding like "Snake eyes" but spoken with an accent.
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fire bet.) For example, a shooter who successfully hits a point of 10 twice will only garner credit for the first one on the fire bet. Players must hit the established point in order for it to count toward the fire bet. The payout is determine by the number of points which have been established and hit after the shooter sevens out.
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bet (the odds portion of the bet has a long-term expected value of 0). However, this "free odds" bet cannot be made independently, so the expected value of the entire bet, including odds, is still negative. Since there is no correlation between die rolls, there is normally no possible long-term winning strategy in craps.
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line at any time after a point is established. Players may only bet the Pass line on the come out roll when no point has been established, unless the casino allows put betting where the player can bet Pass line or increase an existing Pass line bet whenever desired and may take odds immediately if the point is already on.
3372:(CSM). Typically, the CSM will hold approximately 264 cards, or 44 sets of 1 through 6 spot cards. Two cards are dealt from the CSM for each roll. The game is played exactly as regular craps, but the roll distribution of the remaining cards in the CSM is slightly skewed from the normal symmetric distribution of dice. 685:
indicate that it is to be paid the same odds as a place bet, instead of just even money. Other casinos will take the bet on the Pass line after a point has been established, known as put betting, which is a disadvantage to the player (since the seven is the most common roll and likely to happen before the "point").
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odds); all line bets are still even money. This substantially reduces the odds of a natural (from 8/36 to 6/36) and of making the point in general (since a 3:1 dog is added to the mix). All other things equal, the house edge on the Pass Line and Come bets for this play variation jumps dramatically to 9.75%.
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advantage on this bet. This is sometimes seen at casinos running limited-time incentives, in jurisdictions or gaming houses that require the game to be fair, or in layouts for use in informal settings using play money. No casino currently runs a craps table with a bet that yields a player edge full-time.
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Another variation uses a red and a blue deck of 36 custom playing cards each. Each card has a picture of a two-die roll on it – from 1–1 to 6–6. The shooter shoots what looks like a red and a blue die, called "cubes". They are numbered such that they can never throw a pair, and that the blue one will
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In this game variation, one red deck and one blue deck of six cards each (A through 6), and a red die and a blue die are used. Each deck is shuffled separately, usually by machine. Each card is then dealt onto the layout, into the 6 red and 6 blue numbered boxes. The shooter then shoots the dice. The
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In craps, it is also common to place a bet for the dealers. This is usually done one of three ways: by placing an ordinary bet and simply declaring it for the dealers, as a "two-way", or "on top". A "Two-Way" is a bet for both parties: for example, a player may toss in two chips and say "Two Way Hard
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Most casinos prohibit "call bets", and may have a warning such as "No Call Bets" printed on the layout to make this clear. This means a player may not call out a bet without also placing the corresponding chips on the table. Such a rule reduces the potential for misunderstanding in loud environments,
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Since several of the multiple roll bets pay off in ratios of fractions on the dollar, it is important that the player bets in multiples that will allow a correct payoff in complete dollars. Normally, payoffs will be rounded down to the nearest dollar, resulting in a higher house advantage. These bets
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of all bets is usually negative, such that the average player will always lose money. This is because the house always sets the paid odds to below the actual odds. The only exception is the "odds" bet that the player is allowed to make after a point is established on a pass/come Don't Pass/Don't Come
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A player may wish to make multiple different bets. For example, a player may be wish to bet $ 1 on all hard ways and the horn. If one of the bets win the dealer may automatically replenish the losing bet with profits from the winning bet. In this example, if the shooter rolls a hard 8 (pays 9:1), the
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An alternative form, rarely offered by casinos, is the "place bet to lose." This bet is the opposite of the place bet to win and pays off if a 7 is rolled before the specific point number. The place bet to lose typically carries a lower house edge than a place bet to win. Payouts are 4–5 on points 6
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Casino rules vary on this; some of these bets may not be callable, while others may be considered "working" during the come-out. Dealers will usually announce if bets are working unless otherwise called off. If a non-working point number placed, bought or laid becomes the new point as the result of
1255:
The player may lay odds on a Don't Come bet, just like a Don't Pass bet; in this case, the dealer (not the player) places the odds bet on top of the bet in the box, because of limited space, slightly offset to signify that it is an odds bet and not part of the original Don't Come bet. Lay odds behind
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Many players will use a come bet as "insurance" against sevening out: if the shooter rolls a seven, the come bet pays 1:1, offsetting the loss of the Pass line bet. The risk in this strategy is the situation where the shooter does not hit a seven for several rolls, leading to multiple come bets that
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If the come-bet point is rolled on the come-out roll, the odds do not win but the come bet does and the odds bet is returned (along with the come bet and its payoff). The player can tell the dealer that they want their odds working, such that if the shooter rolls a number that matches the come point,
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The shooter is required to make either a Pass line bet or a Don't Pass bet if he wants to shoot. On the come out roll each player may only make one bet on the Pass or Don't Pass, but may bet both if desired. The Pass Line and Don't Pass bet is optional for any player not shooting. In rare cases, some
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Any player can make a bet on Pass or Don't Pass as long as a point has not been established, or Come or Don't Come as long as a point is established. All other bets, including an increase in odds behind the Pass and Don't Pass lines, may be made at any time. All bets other than Pass line and Come may
3375:
Even if the dealer were to shuffle each roll back into the CSM, the effect of buffering a number of cards in the chute of the CSM provides information about the skew of the next roll. Analysis shows this type of game is biased towards the Don't Pass and Don't Come bets. A player betting Don't Pass
3343:
New York Craps is one of the variations of craps played mostly in the Eastern coast of the US, true to its name. History states that this game was actually found and played in casinos in Yugoslavia, the UK and the Bahamas. In this craps variant, the house edge is greater than Las Vegas Craps or Bank
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Casinos take steps to prevent this. The dice are usually required to hit the back wall of the table, which is normally faced with a jagged angular texture such as pyramids, making controlled spins more difficult. There has been no independent evidence that such methods can be successfully applied in
3266:
In most casinos, players are not allowed to hand anything directly to dealers, and vice versa. Items such as cash, checks, and chips are exchanged by laying them down on the table; for example, when "buying in" (paying cash for chips), players are expected to place the cash on the layout: the dealer
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Dice are still considered "in play" if they land on players' bets on the table, the dealer's working stacks, on the marker puck, or with one die resting on top of the other. The roll is invalid if either or both dice land in the boxman's bank, the stickman's bowl (where the extra three dice are kept
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An important alternative metric is house advantage per roll (rather than per bet), which may be expressed in loss per hour. The typical pace of rolls varies depending on the number of players, but 102 rolls per hour is a cited rate for a nearly full table. This same reference states that only "29.6%
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Conversely, a player can take back (pick up) a Don't Pass or Don't Come bet after the first roll, but this cannot be recommended, because they already endured the disadvantaged part of the combination – the first roll. On that come-out roll, they win just 3 times (2 and 3), while losing 8 of them (7
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The place bets and buy bets differ from the Pass line and come line, in that place bets and buy bets can be removed at any time, since, while they are multi-roll bets, their odds of winning do not change from roll to roll, whereas Pass line bets and come line bets are a combination of different odds
1814:
A working bet is a live bet. Bets may also be on the board, but not in play and therefore not working. Pass line and come bets are always working meaning the chips are in play and the player is therefore wagering live money. Other bets may be working or not working depending whether a point has been
1593:
A five-unit bet that is a combination of a horn and any-seven bet, with the idea that if a seven is rolled the bet is a push, because the money won on the seven is lost on the horn portions of the bet. The combine odds are 26:5 on the 2, 12, 11:5 on the 3, 11, and a push on the 7. Like the C & E
1572:
A combined bet, a player is betting half their bet on craps (2,3,12) and the other half on 11 (yo). The combine payout is 3:1 on craps and 7:1 on 11 (yo). Another method of calculating the payout is to divide the total bet in half. The player would receive 7:1 minus half the total bet payout on half
1433:
Easy way is not a specific bet offered in standard casinos, but a term used to define any number combination which has two ways to roll. For example, (6–4, 4–6) would be a "10 easy". The 4, 6, 8 or 10 can be made both hard and easy ways. Betting point numbers (which pays off on easy or hard rolls of
1351:
Place bets to win pay out at slightly worse than the true odds: 9-to-5 on points 4 or 10, 7-to-5 on points 5 or 9, and 7-to-6 on points 6 or 8. The place bets on the outside numbers (4,5,9,10) should be made in units of $ 5, (on a $ 5 minimum table), in order to receive the correct exact payout of $
1347:
Players can bet any point number (4, 5, 6, 8, 9, 10) by placing their wager in the come area and telling the dealer how much and on what number(s), "30 on the 6", "5 on the 5", or "25 on the 10". These are typically "Place Bets to Win". These are bets that the number bet on will be rolled before a
1226:
A Come bet can be visualized as starting an entirely new Pass line bet, unique to that player. Like the Pass Line each player may only make one Come bet per roll, this does not exclude a player from betting odds on an already established Come point. This bet must be at least the table minimum and at
1204:
Individual casinos (and sometimes tables within a casino) vary greatly in the maximum odds they offer, from single or double odds (one or two times the Pass line bet) up to 100x or even unlimited odds. A variation often seen is "3-4-5X Odds", where the maximum allowed odds bet depends on the point:
1136:
The Pass line bet is a contract bet. Once a Pass line bet is made, it is always working and cannot be turned "Off", taken down, or reduced until a decision is reached – the point is made, or the shooter sevens out. A player may increase any corresponding odds (up to the table limit) behind the Pass
1014:
Rolls of 4, 6, 8, and 10 are called "hard" or "easy" (e.g. "six the hard way", "easy eight", "hard ten") depending on whether they were rolled as a "double" or as any other combination of values, because of their significance in center table bets known as the "hard ways". Hard way rolls are so named
951:
Seven rolled as 6–1 is sometimes called "six ace" or "up pops the Devil". Older dealers and players may use the term "Big Red" because craps tables once prominently featured a large red "7" in the center of the layout for the one-roll seven bet. During the comeout, the seven is called "seven, front
538:
Each employee also watches for mistakes by the others because of the sometimes large number of bets and frantic pace of the game. In smaller casinos or at quiet times of day, one or more of these employees may be missing, and have their job covered by another, or cause player capacity to be reduced.
3540:
craps is that there is no bank or house to cover bets in street craps. Players must bet against each other by covering or fading each other's bets for the game to be played. If money is used instead of chips and depending on the laws of where it is being played, street craps can be an illegal form
3307:
Most prominently, it is universally considered bad luck to say the word "seven" (after the "come-out", a roll of 7 is a loss for "pass" bets). Dealers themselves often make significant efforts to avoid calling out the number. When necessary, participants may refer to seven with a "nickname" such as
3262:
Shooters may wish to "set" the dice to a particular starting configuration before throwing (such as showing a particular number or combination, stacking the dice, or spacing them to be picked up between different fingers), but if they do, they are often asked to be quick about it so as not to delay
3179:
When craps is played in a casino, all bets have a house advantage. That is, it can be shown mathematically that a player will (with 100% probability) lose all his or her money to the casino in the long run, while in the short run the player is more likely to lose money than make money. There may be
1606:
This bet is a wager that one of the numbers 2, 3, 4, 9, 10, 11, or 12 will appear on the next roll of the dice. This bet typically pays more (2:1 or 3:1) if 2 or 12 is rolled, and 1:1 if 3, 4, 9, 10, or 11 is rolled. The Field bet is a "Self-Service" Bet. Unlike the other proposition bets which are
1528:
Single-roll (proposition) bets are resolved in one dice roll by the shooter. Most of these are called "service bets", and they are located at the center of most craps tables. Only the stickman or a dealer can place a service bet. Single-roll bets can be lower than the table minimum, but the maximum
1429:
Like single-roll bets, hard way bets can be lower than the table minimum; however, the maximum bet allowed is also lower than the table maximum. The minimum hard way bet can be a minimum one unit. For example, lower stake table minimums of $ 5 or $ 10, generally allow minimum hard ways bets of $ 1.
1377:
A lay bet is the opposite of a buy bet, where a player bets on a 7 to roll before the number that is laid. Players may only lay the 4, 5, 6, 8, 9, or 10 and may lay multiple numbers if desired. Just like the buy bet lay bets pay true odds, but because the lay bet is the opposite of the buy bet, the
1364:
Players can also buy a bet which are paid at true odds, but a 5% commission is charged on the amount of the bet. Buy bets are placed with the shooter betting at a specific number will come out before a player sevens out. The buy bet must be at least table minimum excluding commission; however, some
1251:
In the same way that a come bet is similar to a Pass line bet, a Don't Come bet is similar to a Don't Pass bet. Like the come, the Don't Come can only be bet after a point has already been established as it is the same as a Don't Pass line bet when no point is established. This bet must be at least
1217:
If a player is playing Don't Pass instead of pass, they may also lay odds by placing chips behind the Don't Pass line. If a 7 comes before the point is rolled, the odds pay at true odds of 1-to-2 if 4 or 10 is the point, 2-to-3 if 5 or 9 is the point, or 5-to-6 if 6 or 8 is the point. Typically the
1200:
If a 4, 5, 6, 8, 9, or 10 is thrown on the come-out roll (i.e., if a point is established), most casinos allow Pass line players to take odds by placing up to some predetermined multiple of the Pass line bet, behind the Pass line. This additional bet wins if the point is rolled again before a 7 is
930:
Three is typically called as "three craps three" during the comeout roll, or "three, ace deuce, come away single" when not on the comeout to signify the come bet has been lost and to pay single to any field bettors. Three may also be referred to as "ace caught a deuce", "Tracy", or even less often
705:
The dealers will insist that the shooter roll with one hand and that the dice bounce off the far wall surrounding the table. These requirements are meant to keep the game fair (preventing switching the dice or making a "controlled shot"). If a die leaves the table, the shooter will usually be asked
684:
If the dealer's button is "On", the table is in the point round where casinos will allow odds behind an existing Pass line to be bet. Some casino do not allow new Pass line bets while a point has been established. Some casinos will place the bet straddling the outer border of the Pass line so as to
629:
While acting as the shooter, a player must have a bet on either the "Pass" or the "Don't Pass" line or both. "Pass" and "Don't Pass" are sometimes called "Win" and "Don't Win" or "Right" and "Wrong" bets. The game is played in rounds and these "Pass" and "Don't Pass" bets are betting on the outcome
546:
By contrast, in "street craps", there is no marked table and often the game is played with no back-stop against which the dice are to hit. (Despite the name "street craps", this game is often played in houses, usually on an un-carpeted garage or kitchen floor.) The wagers are made in cash, never in
3458:
One card is dealt from the red deck and one is dealt from the blue deck. The shooter throws the "cubes" and the color of the cube that is higher selects the color of the card to be used to settle bets. On one such table, an additional one-roll prop bet was offered: If the card that was turned over
3056:
11 is a point number instead of a natural. Rolling an 11 still pays "Yo" center-table bets, but the Pass line does not automatically win (and the Don't Pass line does not automatically lose) when 11 is rolled on the come-out. Making the point pays 3:1 on Pass/Come odds bets (1:3 on Don't Pass/Come
1718:
Fire Bet: Before the shooter begins, some casinos will allow a bet known as a fire bet to be placed. A fire bet is a bet of as little as $ 1 and generally up to a maximum of $ 5 to $ 10 sometimes higher, depending on casino, made in the hope that the next shooter will have a hot streak of setting
1418:
This bet can only be placed on the numbers 4, 6, 8, and 10. In order for this bet to win, the chosen number must be rolled the "hard way" (as doubles) before a 7 or any other non-double combination ("easy way") totaling that number is rolled. For example, a player who bets a hard 6 can only win by
1390:
A put bet is a bet which allows players to increase or make a Pass line bet after a point has been established (after come-out roll). Players may make a put bet on the Pass line and take odds immediately or increase odds behind if a player decides to add money to an already existing Pass line bet.
1191:
There are two different ways to calculate the odds and house edge of this bet. The table below gives the numbers considering that the game ends in a push when a 12 is rolled, rather than being undetermined. Betting on Don't Pass is often called "playing the dark side", and it is considered by some
1175:
The Don't Pass bet is a no-contract bet. After a point is established, a player may take down or reduce a Don't Pass bet and any corresponding odds at any time because odds of rolling a 7 before the point is in the player's favor. Once taken down or reduced, however, the Don't Pass bet may not be
926:
Two is "snake eyes", because the two ones that compose it look like a pair of small, beady eyes. During actual play, more common terms are "two craps two" during the comeout roll because the Pass line bet is lost on a comeout crap roll and/or because a bet on any craps would win. "Aces; double the
661:
The maximum bet for Place, Buy, Lay, Pass, and Come bets are generally equal to table maximum. Lay bet maximum are equal to the table maximum win, so players wishing to lay the 4 or 10 may bet twice at amount of the table maximum for the win to be table maximum. Odds behind Pass, Come, Don't Pass,
542:
Some smaller casinos have introduced "mini-craps" tables which are operated with only two dealers; rather than being two essentially identical sides and the center area, a single set of major bets is presented, split by the center bets. Responsibility of the dealers is adjusted: while the stickman
3339:
Crapless craps, also known as bastard craps, is a simple version of the original craps game, and is normally played as an online private game. The biggest difference between crapless craps and original craps is that the shooter (person throwing the dice) is at a far greater disadvantage and has a
3335:
Bank craps is a variation of the original craps game and is sometimes known as Las Vegas Craps. This variant is quite popular in Nevada gambling houses, and its availability online has now made it a globally played game. Bank craps uses a special table layout and all bets must be made against the
3279:
Craps is among the most social and most superstitious of all gambling games, which leads to an enormous variety of informal rules of etiquette that players may be expected to follow. An exhaustive list of these is beyond the scope of this article, but the guidelines below are most commonly given.
3246:
When throwing the dice, the player is expected to hit the farthest wall at the opposite end of the table (these walls are typically augmented with pyramidal structures to ensure highly unpredictable bouncing after impact). Casinos will sometimes allow a roll that does not hit the opposite wall as
1730:
These bets pay 35-for-1, for a house advantage of 7.76%. "All or Nothing at All" wins if the shooter hits all 10 numbers before a seven is rolled. This pays 176-for-1, for a house edge of 7.46%. For all three wagers, the order in which the numbers are hit does not matter. Whenever a seven is hit,
1726:
Bonus Craps: Prior to the initial "come out roll", players may place an optional wager (usually a $ 1 minimum to a maximum $ 25) on one or more of the three Bonus Craps wagers, "All Small", "All Tall", or "All or Nothing at All." For players to win the "All Small" wager, the shooter must hit all
1722:
The first three points will not pay out on the fire bet, but the fourth, fifth, and sixth will pay out at increasing odds. The fourth point pays at 24-to-1, the fifth point pays at 249-to-1, and the 6th point pays at 999-to-1. (The points must all be different numbers for them to count toward the
1453:
The only real advantage offered by the Big 6 & 8 is that they can be bet for the table minimum, whereas a place bet minimum may sometimes be greater than the table minimum (e.g. $ 6 place bet on a $ 3 minimum game.) In addition place bets are usually not working, except by agreement, when the
1409:
Put bets are better than place bets (to win) when betting more than 5-times odds over the flat bet portion of the put bet. For example, a player wants a $ 30 bet on the six. Looking at two possible bets: 1) Place the six, or 2) Put the six with odds. A $ 30 place bet on the six pays $ 35 if it
1234:
Because of the come bet, if the shooter makes their point, a player can find themselves in the situation where they still have a come bet (possibly with odds on it) and the next roll is a come-out roll. In this situation, odds bets on the come wagers are usually presumed to be not working for the
1208:
As odds bets are paid at true odds, in contrast with the Pass line which is always even money, taking odds on a minimum Pass line bet lessens the house advantage compared with betting the same total amount on the Pass line only. A maximum odds bet on a minimum Pass line bet often gives the lowest
696:
When joining the game, one should place money on the table rather than passing it directly to a dealer. The dealer's exaggerated movements during the process of "making change" or "change only" (converting currency to an equivalent in casino cheques) are required so that any disputes can be later
649:
The dealer flips a button to the "On" side and moves it to the point number signifying the second phase of the round. If the shooter "hits" the point value again (any value of the dice that sum to the point will do; the shooter does not have to exactly repeat the exact combination of the come-out
3183:
The Pass/Don't Pass line, Come/Don't Come line, place 6, place 8, buy 4 and buy 10 (only under the casino rules where commission is charged only on wins) have the lowest house edge in the casino, and all other bets will, on average, lose money between three and twelve times faster because of the
2665:
The probability of dice combinations determine the odds of the payout. The following chart shows the dice combinations needed to roll each number. The two and twelve are the hardest to roll since only one combination of dice is possible. The game of craps is built around the dice roll of seven,
1818:
The opposite is also allowed. By default place and buy bets are not working without an established point; a player may wish to wager chips before a point has been established. In this case, the player would request the bet be working in which the dealer will place an "On" button on the specified
1586:
This is a bet that involves betting on 1 unit each for 2, 3, 11, and 12 at the same time for the next roll. The bet is actually four separate bets, and pays off depending on which number is actually rolled. The combined payout is 27:4 for 2, 12 and 3:1 for 3, 11. Each individual bet has the same
1230:
The dealer will place the odds on top of the come bet, but slightly off center in order to differentiate between the original bet and the odds. The second round wins if the shooter rolls the come bet point again before a seven. Winning come bets are paid the same as winning Pass line bets: even
1002:
Eleven is called out as "yo" or "yo-leven" to prevent being misheard as "seven". An older term for eleven is "six five, no jive" because it is a winning roll. During the comeout, eleven is typically followed by "front line winner". After the point is established, "good field and come" is often
504:
Players use casino chips rather than cash to bet on the Craps "layout", a fabric surface which displays the various bets. The bets vary somewhat among casinos in availability, locations, and payouts. The tables roughly resemble bathtubs and come in various sizes. In some locations, chips may be
3360:
To replicate the original dice odds exactly without dice or possibility of card-counting, one scheme uses two shuffle machines each with just one deck of Ace through 6 each. Each machine selects one of the 6 cards at random and this is the roll. The selected cards are replaced and the decks are
2966:
There are occasional promotional variants that provide either no house edge or even a player edge. One example is a field bet that pays 3:1 on 12 and 2:1 on either 3 or 11. Overall, given the 5:4 true odds of this bet, and the weighted average paid odds of approximately 7:5, the player has a 5%
1156:
If the come-out roll is 12, the bet is a push (neither won nor lost). In some casinos, the bet pushes on 2 and wins on 12 instead. Others allow the player to choose to either push on 2 ("Bar Aces") or push on 12 ("Bar Sixes") depending on where it is placed on the layout. The push on 12 or 2 is
3364:
In one variation, two shoes are used, each containing some number of regular card decks that have been stripped down to just the Aces and deuces through sixes. The boxman simply deals one card from each shoe and that is the roll on which bets are settled. Since a card-counting scheme is easily
3322:
An approach to achieving an advantage is to "set" the dice in a particular orientation, and then throw them in such a manner that they do not tumble randomly. The theory is that given exactly the same throw from exactly the same starting configuration, the dice will tumble in the same way and
3243:, players are not supposed to handle the dice with more than one hand (such as shaking them in cupped hands before rolling) nor take the dice past the edge of the table. If a player wishes to change shooting hands, they may set the dice on the table, let go, then take them with the other hand. 3340:
house edge of 5.38%. Another difference is that this is one of the craps games in which a player can bet on rolling a 2, 3, 11 or 12 before a 7 is thrown. In crapless craps, 2 and 12 have odds of 11:2 and have a house edge of 7.143% while 3 and 11 have odds of 11:4 with a house edge of 6.25%.
1334:
These are bets that may not be settled on the first roll and may need any number of subsequent rolls before an outcome is determined. Most multi-roll bets may fall into the situation where a point is made by the shooter before the outcome of the multi-roll bet is decided. These bets are often
1259:
Winning Don't Come bets are paid the same as winning Don't Pass bets: even money for the original bet and true odds for the odds lay. Unlike come bets, the odds laid behind points established by Don't Come bets are always working including come out rolls unless the player specifies otherwise.
966:
Nine is called a "centerfield nine" in casinos in which nine is one of the field rolls, because nine is the center number shown on the layout in such casinos (2–3–4–9–10–11–12). In Atlantic City, a 4–5 is called a "railroad nine". The 4–5 nine is also known as "Jesse James" because the outlaw
641:
Each round has two phases: "come-out" and "point". Dice are passed to the left. To start a round, the shooter makes one or more "come-out" rolls. The shooter must shoot toward the farther back wall and is generally required to hit the farther back wall with both dice. Casinos may allow a few
1368:
Where commission is charged only on wins, the commission is often deducted from the winning payoffβ€”a winning $ 25 buy bet on the 10 would pay $ 49, for instance. The house edges stated in the table assume the commission is charged on all bets. They are reduced by at least a factor of two if
511:
Against one long side is the casino's table bank: as many as two thousand casino chips in stacks of 20. The opposite long side is usually a long mirror. The U-shaped ends of the table have duplicate layouts and standing room for approximately eight players. In the center of the layout is an
3067:
Big 6/8 are unavailable. These bets are equivalent to placing or buying 6 or 8 as points, which have better payout for the same real odds, so Big 6/8 are rarely used and many casinos simply omit them from the layout. Casinos in Atlantic City are even prohibited by law from offering Big 6/8
487:
Bank craps or casino craps is played by one or more players betting against the casino rather than each other. Both the players and the dealers stand around a large rectangular craps table. Sitting is discouraged by most casinos unless a player has medical reasons for requiring a seat.
653:
While the come-out roll may specifically refer to the first roll of a new shooter, any roll where no point is established may be referred to as a come-out. By this definition the start of any new round regardless if it is the shooter's first toss can be referred to as a come-out roll.
646:"; the Pass line wins and Don't Pass loses. The other possible numbers are the point numbers: 4, 5, 6, 8, 9, and 10. If the shooter rolls one of these numbers on the come-out roll, this establishes the "point" – to "pass" or "win", the point number must be rolled again before a seven. 534:
who stands directly across the table from the boxman, takes and pays (or directs the base dealers to do so) the bets in the center of the table, announces the results of each roll (usually with a distinctive patter), and moves the dice across the layout with an elongated wooden stick.
1579:
A single roll bet which wins if the shooter rolls a 7 with 4:1 payout. This bet is also nicknamed Big Red, since the 7 on its betting space on the layout is usually large and red, and it is considered bad luck and a breach of etiquette among gamblers to speak the word "seven" at the
399:(meaning "pace" or "step"), has been gradually supplemented over the decades by many companion games which can be played simultaneously with pass. Now applied to the entire collection of games, the name craps derives from an underclass Louisiana mispronunciation of the word 1205:
three times if the point is 4 or 10; four times on points of 5 or 9; or five times on points of 6 or 8. This rule simplifies the calculation of winnings: a maximum Pass odds bet on a 3–4–5Γ— table will always be paid at six times the Pass line bet regardless of the point.
3199:
of total rolls are come out rolls, on average", so for this alternative metric, needing extra rolls to resolve the Pass line bet, for example, is factored. This number then permits calculation of rate of loss per hour, and per the 4 day/5 hour per day gambling trip:
1352:
5 paying $ 7 or $ 5 paying $ 9. The place bets on the 6 & 8 should be made in units of $ 6, (on a $ 5 minimum table), in order to receive the correct exact payout of $ 6 paying $ 7. For the 4 and 10, it is to the player's advantage to 'buy' the bet (see below).
1381:
If a player is unsure of whether a bet is a single or multi-roll bet, it can be noted that all single-roll bets will be displayed on the playing surface in one color (usually red), while all multi-roll bets will be displayed in a different color (usually yellow).
3254:
Players are generally asked not to throw the dice above a certain height (such as the eye level of the dealers). This is both for the safety of those around the table, and to eliminate the potential use of such a throw as a distraction device in order to cheat.
692:
Between dice rolls there is a period for dealers to make payouts and collect losing bets, after which players can place new bets. The stickman monitors the action at a table and decides when to give the shooter the dice, after which no more betting is allowed.
625:
and whoever is throwing the dice is called the "shooter". Players can bet on the various options by placing chips directly on the appropriately-marked sections of the layout, or asking the base dealer or stickman to do so, depending on which bet is being made.
3548:
offered by casinos, street craps has more simplified betting options. The shooter is required to make either a Pass or a Don't Pass bet if he wants to roll the dice. Another player must choose to cover the shooter to create a stake for the game to continue.
521:
seated (usually the only seated employee) behind the casino's bank, who manages the chips, supervises the dealers, and handles "coloring up" players (exchanging small chip denominations for larger denominations in order to preserve the chips at a table); two
3267:
will take it and then place the chips in front of the player. This rule is enforced in order to allow the casino to easily monitor and record all transfers via overhead surveillance cameras, and to reduce the opportunity for cheating via sleight-of-hand.
999:. Ten as a pair of 5's may also be known as "puppy paws" or "a pair of sunflowers" or "Big Dick" or "Big John." Another slang for a hard ten is "moose head", because it resembles a moose's antlers. This phrase came from players in the Pittsburgh area. 547:
chips, and are usually thrown down onto the ground or floor by the players. There are no attendants, and so the progress of the game, fairness of the throws, and the way that the payouts are made for winning bets are self-policed by the players.
3060:
12 pays 3:1 on the field. This is generally seen in rooms that have two different table minimums, on the tables with the higher minimums. The lower minimum ones will then have 2:1 odds. For example, the Mirage casino in Las Vegas features 3:1
1594:
and Horn bet, if a player wishes to take down the bet after a win he or she would receive all five units back. The minimum bet is five of the minimum units. For example, if the minimum single roll bet is $ 1, the minimum World/Whirl bet is $ 5.
1894:
Note: Individual casinos may pay some of these bets at different payout ratios than those listed below. Some bets are listed more than once below β€“ the most common payout in North American casinos is listed first, followed by other known
669:, with one exception: on the come-out roll, a roll of 12 will cause Pass Line bets to lose, but Don't Pass bets are pushed (or "barred"), neither winning nor losing. (The same applies to "Come" and "Don't Come" bets, discussed below.) 3586:
refers to the practice of the game's operators using portable tables and equipment to quickly move the game from location to location to stay ahead of the law enforcement authorities. The term may have originated in the 1930s when
3247:
long as the dice are thrown past the middle of the table; a very short roll will be nullified as a "no roll". The dice may not be slid across the table and must be tossed. These rules are intended to prevent dexterous players from
994:
Ten the hard way is "a hard ten", "dos equis" (Spanish, meaning "two X's", because the pip arrangement on both dice on this roll resembles "XX"), or "Hard ten – a woman's best friend", an example of both rhyming slang and sexual
3180:
players who are lucky and get ahead for a period of time, but in the long run these winning streaks are eroded away. One can slow, but not eliminate, one's average losses by only placing bets with the smallest house advantage.
3631:
is a craps player who rolls the dice for longer than one hour without losing. Likely the first known Golden Arm was Oahu native Stanley Fujitake, who rolled 118 times without sevening out in 3 hours and 6 minutes at the
1145:
A Don't Pass bet is a bet for the shooter to lose ("seven out, line away") and is almost the opposite of the Pass line bet. Like the Pass bet, this bet must be at least the table minimum and at most the table maximum.
1015:
because there is only one way to roll them (i.e., the value on each die is the same when the number is rolled). Consequently, it is more likely to roll the number in combinations (easy) rather than as a double (hard).
3867: 1235:
come-out roll. That means that if the shooter rolls a 7 on the come-out roll, any players with active come bets waiting for a come-bet point lose their initial wager but will have their odds bets returned to them.
3376:
and Don't Come every roll and laying 10x odds receives a 2% profit on the initial Don't Pass / Don't Come bet each roll. Using a counting system allows the player to attain a similar return at lower variance.
1740:
horn loses. The dealer may return $ 5 to the player and place the other $ 4 on the horn bet which lost. If the player does not want the bet replenished, he or she should request any or all bets be taken down.
3459:
for the "roll" was either 1–1 or 6–6, the other card was also turned over. If the other card was the "opposite" (6–6 or 1–1, respectively) of the first card, the bet paid 500:1 for this 647:1 proposition.
706:
to select another die from the remaining three but can request permission to use the same die if it passes the boxman's inspection. This requirement exists to keep the game fair and reduce the chance of
3462:
And additional variation uses a single set of 6 cards, and regular dice. The roll of the dice maps to the card in that position, and if a pair is rolled, then the mapped card is used twice, as a pair.
3451:
red card in the red-numbered box corresponding to the red die, and the blue card in the blue-numbered box corresponding to the blue die are then turned over to form the roll on which bets are settled.
630:
of a round. The shooter is presented with multiple dice (typically five) by the "stickman", and must choose two for the round. The remaining dice are returned to the stickman's bowl and are not used.
934:
Four, usually hard, is sometimes referred to as "Little Joe from Kokomo" or "Little Joe on the front row" or just "Little Joe". A hard four can be called a "ballerina" because it is two-two ("
349: 941:
Five is frequently called "no field five" in casinos in which five is not one of the field rolls and thus not paid in the field bets. Other names for a five are "fever" and "little Phoebe".
3288:
Tipping the dealers is universal and expected in Craps. As in most other casino games, a player may simply place (or toss) chips onto the table and say, "For the dealers", "For the crew",
922:
There are many local variants of the calls made by the stickman for rolls during a craps game. These frequently incorporate a reminder to the dealers as to which bets to pay or collect.
3544:
There are many variations of street craps. The simplest way is to either agree on or roll a number as the point, then roll the point again before rolling a seven. Unlike more complex
3352:
In order to get around Californian laws barring the payout of a game being directly related to the roll of dice, Indian reservations have adapted the game to substitute cards for dice.
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devised to make use of the information of cards that have already been dealt, a relatively small portion (less than 50%) of each shoe is usually dealt in order to protect the house.
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the game. Some casinos disallow such rituals to speed up the pace of the game. Some may also discourage or disallow unsanitary practices such as kissing or spitting on the dice.
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Recreational or informal playing of craps outside of a casino is referred to as street craps or private craps. The most notable difference between playing street craps and
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In Las Vegas casinos, this bet is generally working, including when no point has been established, unless the player specifies otherwise. In other casinos such as those in
677:
A player wishing to play craps without being the shooter should approach the craps table and first check to see if the dealer's "On" button is on any of the point numbers.
952:
line winner", frequently followed by "pay the line" and/or "take the don'ts". After the point is established, a seven is typically called by simply "7 out" or "7 out 7"..
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that number) or single-roll ("hop") bets (e.g., "hop the 2–4" is a bet for the next roll to be an easy six rolled as a two and four) are methods of betting easy ways.
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five small numbers (2, 3, 4, 5, 6) before a seven is rolled; similarly, "All Tall" wins if all five high numbers (8, 9, 10, 11, 12) are hit before a seven is rolled.
1111:
The fundamental bet in craps is the Pass line bet, which is a bet for the shooter to win. This bet must be at least the table minimum and at most the table maximum.
410:
introduced a layout which featured bets on Don't Pass as well as Pass. Virtually all modern casinos use his innovation, which incentivizes casinos to use fair dice.
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A player can choose either the 6 or 8 being rolled before the shooter throws a seven. These wagers are usually avoided by experienced craps players since they pay
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Besides the rules of the game itself, a number of formal and informal rules are commonly applied in the table form of Craps, especially when played in a casino.
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and getting many points of different values. As different individual points are made by the shooter, they will be marked on the craps layout with a fire symbol.
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money for the original bet and true odds for the odds bet. If, instead, the seven is rolled before the come-bet point, the come bet (and any odds bet) loses.
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house edge available in any game in the casino. However, the odds bet cannot be made independently, so the house retains an edge on the Pass line bet itself.
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Among these, and the remaining numbers and possible bets, there are a myriad of systems and progressions that can be used with many combinations of numbers.
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casinos require all players to make a minimum Pass Line or Don't Pass bet (if they want to make any other bet), whether they are currently shooting or not.
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Each casino may set which bets are offered and different payouts for them, though a core set of bets and payouts is typical. Players take turns rolling two
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In some cases, players may also tip each other, for example as a show of gratitude to the thrower for a roll on which they win a substantial bet.
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restored or increased. Because the shooter must have a line bet the shooter generally may not reduce a Don't Pass bet below the table minimum. In
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These variants depend on the casino and the table, and sometimes a casino will have different tables that use or omit these variants and others.
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The current record for length of a "hand" (successive rounds won by the same shooter) is 154 rolls including 25 passes by Patricia DeMauro of
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shooter is "coming out" i.e. shooting for a point, and Big 6 and 8 bets always work. Some modern layouts no longer show the Big 6/Big 8 bet.
1450:) do not even offer the Big 6 & 8. The bets are located in the corners behind the Pass line, and bets may be placed directly by players. 1180:, a majority of casinos will allow the shooter to move the bet to the Pass line in lieu of taking it down; however, in other areas such as 3552:
If there are several players, the rotation of the player who must cover the shooter may change with the shooter (comparable to a blind in
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show a higher value than the red one exactly half the time. One such scheme could be 222555 on the red die and 333444 on the blue die.
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players to be in poor taste, or even taboo, because it goes directly against conventional play, winning when most of the players lose.
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Craps players routinely practice a wide range of superstitious behaviors, and may expect or demand these from other players as well.
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considered "not working" on the new come-out roll until the next point is established, unless the player calls the bet as "working."
227:"). Because it requires little equipment, "street craps" can be played in informal settings. While shooting craps, players may use 2970:
Maximizing the size of the odds bet in relation to the line bet will reduce, but never eliminate the house edge, and will increase
170: 5360: 4035: 4307: 4419: 4391: 4367: 3850: 3743:
Botermans, J., & Fankbonner, E.L.(2008). The Book of Games: Strategy, Tactics & History. New York: Sterling,541-542.
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continues to handle the center bets, it is the base dealer who handles all other bets (as well as cash and chip exchanges).
5365: 4519: 3920: 1446:(1:1) while a player can make place bets on the 6 or the 8, which pay more (7:6). Some casinos (especially all those in 4251: 5370: 5001: 3823: 3798: 3064:
11 pays 2:1 on the field. This variant is normally used when 12 pays 3:1, and neutralizes the house edge on the field.
1426:, hard ways are not working when the point is off unless the player requests to have it working on the come out roll. 1006:
Twelve is known as "boxcars" because the spots on the two dice that show 6–6 look like schematic drawings of railroad
681:
If the button has been turned to "Off", then the table is in the come-out round, and a point has not been established.
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For a century after its invention, casinos used unfair dice. In approximately 1907, a dicemaker named John H. Winn in
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in Las Vegas had a craps table that floated in the swimming pool, as a joke reference to the notoriety of the term.
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including on the come out roll, all bonus bets lose, the bonus board is reset, and new bonus bets may be placed.
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who stand to either side of the boxman and collect and pay bets to players around their half of the table; and a
69: 5521: 5326: 3501: 3415: 3104: 3017: 1858: 1779: 1643: 1493: 1299: 1067: 586: 266: 3651:, on May 23–24, 2009. She bested by over an hour the record held for almost 20 years β€“ that of Fujitake. 1419:
seeing a 3–3 roll come up before any 7 or any easy roll totaling 6 (4–2 or 5–1); otherwise, the player loses.
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include all place bets, taking odds, and buying on numbers 6, 8, 5, and 9, as well as laying all numbers.
1961:
Considered a "contract bet": once the point is established, the bet is locked until it wins or loses. See
1127:
If, with a point established, a 7 is rolled before the point is rolled again ("seven out"), the bet loses.
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If, with a point established, a 7 is rolled before the point is rolled again ("seven out"), the bet wins.
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Wins if shooter rolls a 2 or 12. The stickman places this bet on the line dividing the 2 and 12 bets.
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In either case, all single or multi-roll proposition bets may be placed in either of the two rounds.
116: 4433:"A method to their magic: Craps champions swear it's more mystique than math at the tables in Vegas" 219:
on the outcomes of the roll of a pair of dice. Players can wager money against each other (playing "
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be removed or reduced any time before the bet loses. This is known as "taking it down" in craps.
575: 255: 228: 991:, who wore No. 9 in his FIBA international career, when players could only wear numbers 4 to 15. 56:
may contain an excessive amount of intricate detail that may interest only a particular audience
5196: 4994: 4883: 4868: 4667: 4170:"Craps Etiquette at the Casino – Unwritten Rules for Beginners Wanting to Fit In at the Tables" 3497: 3411: 3100: 3013: 1854: 1775: 1639: 1489: 1295: 1063: 955:
Eight rolled the hard way, as opposed to an "easy eight", is sometimes called an "eighter from
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The prayer or invocation "Baby needs a new pair of shoes!" is associated with shooting craps.
5393: 5255: 5211: 4607: 3592: 2529: 35: 4116: 3840: 5473: 5265: 5233: 5201: 5083: 4903: 4873: 3899: 3816:
Numberpedia: Everything You Ever Wanted to Know (and a Few Things You Didn't) About Numbers
3677: 948:. On a win, the six is often called "666 winner 6" followed by "came hard" or "came easy". 368:
Craps developed in the United States from a simplification of the western European game of
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Six may be referred to as "Jimmie Hicks" or "Jimmie Hicks from the sticks", examples of
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In all the above scenarios, whenever the Pass line wins, the Don't Pass line loses, and
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In a similar variation, cards representing dice are dealt directly from a continuous
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a come-out, the bet is usually refunded, or can be moved to another number for free.
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the odds bet will win along with the come bet, and if a seven is rolled, both lose.
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La theorie des jeux de hazard, ou, Analyse du krabs, du passe-dix [&c.]
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If, with a point established, that point is rolled again before a 7, the bet loses.
302: 122: 3842:
Casino Craps: Simple Strategies for Playing Smart, Lowering Risk, and Winning More
1124:
If, with a point established, that point is rolled again before a 7, the bet wins.
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In 1788, "Krabs" (later spelled crabs) was an English variation on the dice game
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was killed by a .45 caliber pistol. Other names for the nine include "Nina from
5542: 5437: 5128: 4833: 4662: 4652: 4632: 4567: 4562: 3972: 3868:"Are "side bets" at the craps table a good way to build or bust your bankroll?" 3684: 3608: 2959: 2401:
In the UK and Australia, the payout is 9.5:1 lowering the house edge to 4.55%.
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In the UK and Australia, the payout is 7.5:1 lowering the house edge to 5.56%.
988: 132: 4137: 5536: 5442: 5116: 5045: 4922: 4893: 4782: 4767: 4557: 3227:$ 1 Eleven only on come out 3.29% per roll, $ 3.35 per hour, $ 67.09 per trip 980: 945: 369: 362: 31: 5511: 4627: 3224:$ 1 Craps only on come out 3.29% per roll, $ 3.35 per hour, $ 67.09 per trip 1118:
If the come-out roll is 2, 3 or 12, the bet loses (known as "crapping out").
68:
any relevant information, and removing excessive detail that may be against
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Once the point is established: the point number (one of: 4, 5, 6, 8, 9, 10)
2025:
Once the point is established: the point number (one of: 4, 5, 6, 8, 9, 10)
1994:
Once the point is established: the point number (one of: 4, 5, 6, 8, 9, 10)
1953:
Once the point is established: the point number (one of: 4, 5, 6, 8, 9, 10)
1403: 1181: 506: 414: 407: 224: 220: 3793:(Fully rev., expanded, updated ed.). New York: Simon & Schuster. 5432: 4928: 4863: 4818: 4772: 3695: 2293:
Some casinos pays 2:1 for 2 and 3:1 for 12, reducing house edge to 2.78%
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The maximum bet is based on the maximum allowed win from a single roll.
5463: 4949: 4848: 4823: 4787: 4642: 4597: 3734:
Bridges, Tyler, Bad Bet in the Bayou Farrar, Straus & Giroux (2001)
3640: 3628: 3107: in this section. Unsourced material may be challenged and removed. 1646: in this section. Unsourced material may be challenged and removed. 1443: 666: 269: in this section. Unsourced material may be challenged and removed. 4752: 30:
This article is about the dice game. For the album by Big Dipper, see
4954: 4702: 4682: 4677: 4657: 4488: 4297:"California Roulette and California Craps as House-Banked Card Games" 4081: 3616: 3215:$ 1 Single Hardways 2.78% per roll, $ 2.84 per hour, $ 56.71 per trip 3212:$ 10 Place 4,10 bets 1.19% per roll, $ 12.14 per hour, $ 243 per trip 1395: 1177: 894: 866: 841: 819: 800: 784: 773: 764: 755: 746: 737: 728: 212: 192: 126: 3612:
features a major plot point revolving around a floating craps game.
3475: 3389: 3209:$ 10 Place 5,9 bets 1.11% per roll, $ 11.32 per hour, $ 226 per trip 3082: 2991: 2061:
Controlled by the player: can be increased or decreased at any time
2031:
Controlled by the player: can be increased or decreased at any time
1832: 1753: 1621: 1467: 1273: 1157:
mathematically necessary to maintain the house edge over the player.
1041: 560: 244: 5050: 5010: 4853: 4797: 4622: 4602: 4582: 4552: 4547: 3568:
is often used to describe an action with an unpredictable outcome.
2971: 388:, the young gambler and scion of a family of wealthy landowners in 373: 216: 4722: 3221:$ 5 All hardways 2.78% per roll, $ 56.71 per hour, $ 1134 per trip 3206:$ 10 Place 6,8 bets 0.46% per roll, $ 4.69 per hour, $ 94 per trip 3203:$ 10 Pass line bets 0.42% per roll, $ 4.28 per hour, $ 86 per trip 4918: 4888: 4404:
Casino Gamble Talk: The Language of Gambling and New Casino Games
3644: 3218:$ 1 All hardways 2.78% per roll, $ 11.34 per hour, $ 227 per trip 4109:"How To Play Craps, Part 2 | Suquamish Clearwater Casino Resort" 1997:
Controlled by the player: can be decreased at any time, but see
5055: 5033: 4944: 4897: 4792: 4747: 4617: 4304:
California Department of Justice - Division of Gambling Control
1007: 976: 959:". It can also be known as a "square pair", "mom and dad", or " 377: 4712: 4572: 4497: 3553: 4252:"Golden Arm: A Probabilistic Study of Dice Control in Craps" 4979: 4612: 3666: 3564:
Due to the random nature of the game, in popular culture a
3537: 2584:
Same true odds, better payout if the player places the 6/8
2558:
Same true odds, better payout if the player places the 5/9
983:". Nine can also be referred to as "Old Mike", named after 622: 3239:
To reduce the potential opportunity for switching dice by
2452:
Same true odds, better payout if the player buys the 4/10
1160:
If the roll is any other value, it establishes a point.
1121:
If the roll is any other value, it establishes a point.
633: 496: 372:. The origins of hazard are obscure and may date to the 3591:(later known for founding the downtown Las Vegas hotel 3945:"Galaxy Gaming's "Bonus Craps" Tops 100 Installations" 3323:
therefore show the same or similar values every time.
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since it is the most easily rolled dice combination.
2036:
Don't Pass Odds / Don't Come Odds
3466:
Rules of play against other players ("Street Craps")
4376: 3994: 3992: 3755:"A Chronology of (Legal) Gaming in the U.S. Gaming" 1970:
Don't Pass / Don't Come (Bar-12 or Bar-2)
1243:will be lost if the shooter eventually sevens out. 515:The table is run by up to four casino employees: a 395:The central game, called pass from the French word 4036:"Craps Etiquette, Social Rules at the Craps Table" 637:A roll of 11 in the come-out phase is a "natural". 4454:"Craps player sets record roll at Borgata casino" 5534: 3989: 386:Bernard Xavier Philippe de Marigny de Mandeville 3311: 1743: 1153:If the come-out roll is 7 or 11, the bet loses. 4478: 4249: 3838: 3818:. New York: Skyhorse Publishing. p. 512. 3379: 3308:"Big Red" (or just "Red"), "the S-word", etc. 3249:physically influencing the outcome of the roll 1115:If the come-out roll is 7 or 11, the bet wins. 353:Craps being played by children in a street in 4995: 4513: 4386:(April 26, 2005), p. 132, Harper Paperbacks, 3865: 2648:4.00% (2.27% if commission taken only on win) 2598:2.44% (1.67% if commission taken only on win) 2572:4.76% (2.22% if commission taken only on win) 2546:4.76% (1.96% if commission taken only on win) 2516:4.76% (1.67% if commission taken only on win) 1150:If the come-out roll is 2 or 3, the bet wins. 4250:Smith, Donald R.; Scott III, Robert (2018). 1369:commission is charged on winning bets only. 4396: 4384:Amarillo Slim in a World Full of Fat People 4362:. Cardoza Publishing. 2011. pp. 118–. 4290: 4288: 4262:(1): 29–36 – via Digital Scholarship. 4224:"Proper Craps Etiquette at the Craps Table" 4138:"The Dice Control Scam: Don't Fall for It!" 3582:is an illegal operation of craps. The term 3504:. Unsourced material may be challenged and 3418:. Unsourced material may be challenged and 3020:. Unsourced material may be challenged and 2532:offer "Free buy" reducing house edge to 0% 1861:. Unsourced material may be challenged and 1782:. Unsourced material may be challenged and 1496:. Unsourced material may be challenged and 1302:. Unsourced material may be challenged and 1070:. Unsourced material may be challenged and 589:. Unsourced material may be challenged and 5002: 4988: 4520: 4506: 2623:3.23% (2% if commission taken only on win) 1734: 1356:or 8, 5–8 on 5 or 9, and 5–11 on 4 or 10. 697:reviewed against security camera footage. 4256:UNLV Gaming Research & Review Journal 3937: 3913: 3643:, lasting 4 hours and 18 minutes, at the 3524:Learn how and when to remove this message 3438:Learn how and when to remove this message 3167:Learn how and when to remove this message 3040:Learn how and when to remove this message 1881:Learn how and when to remove this message 1802:Learn how and when to remove this message 1706:Learn how and when to remove this message 1516:Learn how and when to remove this message 1322:Learn how and when to remove this message 1090:Learn how and when to remove this message 609:Learn how and when to remove this message 475:Learn how and when to remove this message 329:Learn how and when to remove this message 151:Learn how and when to remove this message 88:Learn how and when to remove this message 4382:Preston, Amarillo Slim and Greg Dinkin. 4285: 3884: 3784: 3782: 3780: 3347: 1022: 632: 495: 438:This section includes a list of general 348: 340: 4430: 4272: 4245: 4243: 3859: 3832: 3791:Scarne's new complete guide to gambling 3355: 1822: 384:in approximately 1805 by the returning 14: 5535: 3921:"Washington State Gambling Commission" 3788: 3752: 2398:7, 6/8 as a non-pair (1–5,2-4/2-6,3-5) 2216:C & E (the combined bet) 4983: 4501: 4479: 4313:from the original on 21 December 2016 4294: 4218: 4216: 4214: 4164: 4162: 4160: 4158: 4103: 4101: 4076: 4074: 4072: 4070: 4068: 4066: 4064: 4062: 4060: 4030: 4028: 4026: 4024: 4022: 4020: 4018: 4016: 3967: 3965: 3813: 3777: 3559: 1566:Wins if the shooter rolls 2, 3 or 12. 345:Craps game at a military camp in 1918 175:A craps table with a game in progress 5497: 4240: 3845:. Skyhorse Publishing. pp. 5–. 3759:Gaming Research & Review Journal 3715: 3502:adding citations to reliable sources 3469: 3416:adding citations to reliable sources 3383: 3105:adding citations to reliable sources 3076: 3018:adding citations to reliable sources 2985: 1998: 1962: 1859:adding citations to reliable sources 1826: 1780:adding citations to reliable sources 1747: 1644:adding citations to reliable sources 1615: 1494:adding citations to reliable sources 1461: 1300:adding citations to reliable sources 1267: 1172:The Don't Pass bet pays even money. 1068:adding citations to reliable sources 1035: 587:adding citations to reliable sources 554: 424: 413:Craps exploded in popularity during 267:adding citations to reliable sources 238: 121:In particular, it has problems with 99: 40: 5517: 2981: 1551:12 (boxcars, midnight, or cornrows) 1457: 1133:The Pass line bet pays even money. 24: 4275:"Craps Side Bets – Wizard of Odds" 4211: 4199:Poorman's Guide to Casino Gambling 4155: 4113:Suquamish Clearwater Casino Resort 4098: 4057: 4013: 3962: 3072: 1437: 1394:Put bets are generally allowed in 1263: 1212: 1018: 444:it lacks sufficient corresponding 25: 5569: 4472: 3574: 1246: 713: 672: 5516: 5506: 5496: 5487: 5486: 4965: 4721: 4431:Montero, David (28 April 2017). 4082:"Dice Games and Craps Etiquette" 3474: 3388: 3081: 2990: 2055:Once the point is established: 7 2028:Once the point is established: 7 1989:Once the point is established: 7 1958:Once the point is established: 7 1831: 1752: 1620: 1466: 1272: 1040: 893: 865: 840: 818: 799: 783: 772: 763: 754: 745: 736: 727: 559: 550: 429: 243: 169: 104: 45: 4446: 4424: 4350: 4325: 4295:Lytle, Robert (30 April 2004). 4266: 4187: 4130: 3839:Robert R. Roto (21 June 2016). 3299: 3092:needs additional citations for 2372:7, 4/10 as a non-pair (1-3/4-6) 2006:Pass Odds / Come Odds 1631:needs additional citations for 254:needs additional citations for 4527: 3807: 3746: 3737: 3728: 3709: 3361:reshuffled for the next roll. 3231: 2325:Whirl/World (the combined bet) 1900:Note: "True Odds" do not vary. 1611: 1542:Wins if the shooter rolls a 3. 491: 113:This article needs editing to 13: 1: 3702: 1548:Wins if the shooter rolls 11. 1140: 420: 5009: 4688:Sevens, elevens, and doubles 4406:(2003), p. 59, Lyle Stuart, 4359:Craps A Smart Shooters Guide 4115:. 2012-08-28. Archived from 4002:. Wizard of Odds. 2012-03-14 3866:Meltzer, Marc (2017-11-12). 3312:Dice setting or dice control 3274: 2726:1–6, 2–5, 3–4, 4–3, 5–2, 6–1 2431:Place 4 / Place 10 2279:5.56% (2.78% if 12 pays 3:1) 1744:Working and not working bets 1195: 1106: 1031: 70:Knowledge's inclusion policy 7: 3951:(Press release). 2013-01-09 3654: 3634:California Hotel and Casino 3597:Texas Centennial Exposition 3380:Cards mapping physical dice 3330: 3184:difference in house edges. 2675:Possible dice combinations 2482:Place 6 / Place 8 2457:Place 5 / Place 9 2291:Most common payout schedule 1554:Wins if shooter rolls a 12. 1413: 1221: 507:checks, tokens, or plaques. 500:The layout of a craps table 376:. Hazard was brought from 231:to place bets and actions. 10: 5574: 3622: 3315: 2354:Hard 4 / Hard 10 1987:Tie: 12 (depending on Bar) 1536:Wins if shooter rolls a 2. 700: 234: 29: 5482: 5456: 5423: 5407: 5386: 5335: 5284: 5189: 5163: 5156: 5102: 5089:Mathematics of bookmaking 5076: 5069: 5026: 5017: 4963: 4937: 4806: 4730: 4719: 4535: 4333:"Definition of crapshoot" 3649:Atlantic City, New Jersey 2380:Hard 6 / Hard 8 859: 834: 812: 793: 198: 188: 180: 168: 5558:African-American culture 4195:"Proper Craps Etiquette" 3973:"Craps - Wizard of Odds" 2735:2–6, 3–5, 4–4, 5–3, 6–2 2715:1–5, 2–4, 3–3, 4–2, 5–1 2589:Lay 4 / Lay 10 2528:Certain casinos such as 2507:Buy 4 / Buy 10 2369:4/10 as a pair (2-2/5-5) 1956:Come out roll: 2, 3, 12. 1342: 719:Names of Rolls in Craps 115:comply with Knowledge's 4693:Ship, captain, and crew 3949:GlobeNewswire News Room 3753:Fenich, George (1996). 3672:Glossary of craps terms 3615:In the 1950s and 1960s 3283: 2639:Lay 6 / Lay 8 2620:2:3 -5% of intended win 2614:Lay 5 / Lay 9 2595:1:2 -5% of intended win 2569:6:5 -5% of intended bet 2563:Buy 6 / Buy 8 2543:3:2 -5% of intended bet 2537:Buy 5 / Buy 9 2513:2:1 -5% of intended bet 2406:Big 6 / Big 8 2395:6/8 as a pair (3-3/4-4) 2298:Horn (the combined bet) 1735:Multiple different bets 1533:2 (snake eyes, or Aces) 459:more precise citations. 365:(also spelled hasard). 223:") or against a bank (" 4668:Petals Around the Rose 4273:Shackleford, Michael. 1385: 1372: 1359: 1028: 1027:A standard craps table 638: 501: 358: 346: 34:. For other uses, see 4442:– via LA Times. 3789:Scarne, John (1986). 3348:Card-based variations 2530:Santa Ana Star Casino 1992:Come out roll: 7, 11. 1951:Come out roll: 7, 11. 1563:Any Craps (Three-Way) 1398:, but not allowed in 1026: 636: 499: 352: 344: 5474:Video game addiction 5084:Gambling mathematics 5020:Gambling terminology 3814:Reich, Herb (2011). 3716:Huyn, P. N. (1788). 3678:Gonna Roll the Bones 3498:improve this section 3412:improve this section 3356:Cards replacing dice 3101:improve this article 3014:improve this section 2773:Viewed another way: 2645:5:6 -5% intended win 1922:Single or Multi Roll 1855:improve this section 1823:Bet odds and summary 1776:improve this section 1640:improve this article 1490:improve this section 1296:improve this section 1064:improve this section 583:improve this section 263:improve this article 4337:Merriam-Webster.com 3691:Illusion of control 2743:3–6, 4–5, 5–4, 6–3 2707:1–4, 2–3, 3–2, 4–1 2274:1:1 on 3,4,9,10,11; 2191:Craps (2, 3, or 12) 1985:Come out roll: 2, 3 1906: 979:", and "niner from 720: 165: 133:improve the content 5134:Due Column betting 5112:Advantage gambling 4738:Astronomical chess 4481:Weisstein, Eric W. 3560:In popular culture 1904: 1029: 718: 639: 502: 390:colonial Louisiana 359: 355:St Louis, Missouri 347: 163: 5530: 5529: 5419: 5418: 5152: 5151: 5139:LabouchΓ¨re system 5094:Poker probability 4977: 4976: 4914:To Court the King 4536:Traditional games 4420:978-0-8184-0634-8 4402:Royer, Victor H. 4392:978-0-06-076230-8 4369:978-1-58042-576-6 3852:978-1-5107-0701-6 3636:on May 28, 1989. 3534: 3533: 3526: 3448: 3447: 3440: 3370:shuffling machine 3177: 3176: 3169: 3151: 3050: 3049: 3042: 2956: 2955: 2771: 2770: 2663: 2662: 2042:1:2 against 4,10; 1891: 1890: 1883: 1812: 1811: 1804: 1716: 1715: 1708: 1690: 1526: 1525: 1518: 1332: 1331: 1324: 1100: 1099: 1092: 961:Ozzie and Harriet 920: 919: 916:Boxcars/Midnight 901:Natural/Seven Out 876:Natural/Seven Out 854:Natural/Seven Out 848:Five (Fever Five) 829:Five (Fever Five) 619: 618: 611: 485: 484: 477: 339: 338: 331: 313: 229:slang terminology 215:in which players 206: 205: 161: 160: 153: 98: 97: 90: 16:(Redirected from 5565: 5520: 5519: 5510: 5500: 5499: 5490: 5489: 5469:Problem gambling 5161: 5160: 5074: 5073: 5061:Riverboat casino 5004: 4997: 4990: 4981: 4980: 4969: 4859:Don't Go to Jail 4814:Animal Husbandry 4807:Commercial games 4763:Crown and Anchor 4725: 4522: 4515: 4508: 4499: 4498: 4494: 4493: 4466: 4465: 4463: 4461: 4450: 4444: 4443: 4441: 4439: 4428: 4422: 4400: 4394: 4380: 4374: 4373: 4354: 4348: 4347: 4345: 4343: 4329: 4323: 4322: 4320: 4318: 4312: 4301: 4292: 4283: 4282: 4279:wizardofodds.com 4270: 4264: 4263: 4247: 4238: 4237: 4235: 4234: 4220: 4209: 4208: 4206: 4205: 4191: 4185: 4184: 4182: 4181: 4166: 4153: 4152: 4150: 4149: 4134: 4128: 4127: 4125: 4124: 4105: 4096: 4095: 4093: 4092: 4086:alanbestbuys.com 4078: 4055: 4054: 4052: 4051: 4042:. Archived from 4032: 4011: 4010: 4008: 4007: 3996: 3987: 3986: 3984: 3983: 3977:wizardofodds.com 3969: 3960: 3959: 3957: 3956: 3941: 3935: 3934: 3932: 3931: 3917: 3911: 3910: 3908: 3907: 3898:. Archived from 3896:galaxygaming.com 3888: 3882: 3881: 3879: 3878: 3863: 3857: 3856: 3836: 3830: 3829: 3811: 3805: 3804: 3786: 3775: 3774: 3772: 3770: 3750: 3744: 3741: 3735: 3732: 3726: 3725: 3713: 3546:proposition bets 3529: 3522: 3518: 3515: 3509: 3478: 3470: 3443: 3436: 3432: 3429: 3423: 3392: 3384: 3172: 3165: 3161: 3158: 3152: 3150: 3109: 3085: 3077: 3045: 3038: 3034: 3031: 3025: 2994: 2986: 2982:Betting variants 2776: 2775: 2669: 2668: 2347:Any other number 2318:Any other number 2288:Any other number 2285:2,3,4,9,10,11,12 2261:Any other number 2236:Any other number 2209:Any other number 2184:Any other number 2159:Any other number 2134:Any other number 2109:Any other number 2084:Any other number 2044:2:3 against 5,9; 1907: 1903: 1886: 1879: 1875: 1872: 1866: 1835: 1827: 1807: 1800: 1796: 1793: 1787: 1756: 1748: 1711: 1704: 1700: 1697: 1691: 1689: 1648: 1624: 1616: 1521: 1514: 1510: 1507: 1501: 1470: 1462: 1458:Single-roll bets 1327: 1320: 1316: 1313: 1307: 1276: 1268: 1095: 1088: 1084: 1081: 1075: 1044: 1036: 975:", "Nina at the 898: 897: 870: 869: 845: 844: 823: 822: 804: 803: 788: 787: 777: 776: 768: 767: 759: 758: 750: 749: 741: 740: 732: 731: 721: 717: 614: 607: 603: 600: 594: 563: 555: 480: 473: 469: 466: 460: 455:this section by 446:inline citations 433: 432: 425: 334: 327: 323: 320: 314: 312: 271: 247: 239: 173: 166: 162: 156: 149: 145: 142: 136: 123:MOS:CONTRACTIONS 108: 107: 100: 93: 86: 82: 79: 73: 49: 48: 41: 21: 5573: 5572: 5568: 5567: 5566: 5564: 5563: 5562: 5533: 5532: 5531: 5526: 5478: 5452: 5415: 5403: 5382: 5376:Atlantic Canada 5331: 5280: 5185: 5148: 5098: 5065: 5022: 5013: 5008: 4978: 4973: 4959: 4933: 4844:Dead Man's Dice 4802: 4778:Kitsune bakuchi 4726: 4717: 4531: 4526: 4475: 4470: 4469: 4459: 4457: 4452: 4451: 4447: 4437: 4435: 4429: 4425: 4401: 4397: 4381: 4377: 4370: 4356: 4355: 4351: 4341: 4339: 4331: 4330: 4326: 4316: 4314: 4310: 4299: 4293: 4286: 4271: 4267: 4248: 4241: 4232: 4230: 4222: 4221: 4212: 4203: 4201: 4193: 4192: 4188: 4179: 4177: 4168: 4167: 4156: 4147: 4145: 4136: 4135: 4131: 4122: 4120: 4107: 4106: 4099: 4090: 4088: 4080: 4079: 4058: 4049: 4047: 4034: 4033: 4014: 4005: 4003: 3998: 3997: 3990: 3981: 3979: 3971: 3970: 3963: 3954: 3952: 3943: 3942: 3938: 3929: 3927: 3925:fortress.wa.gov 3919: 3918: 3914: 3905: 3903: 3890: 3889: 3885: 3876: 3874: 3864: 3860: 3853: 3837: 3833: 3826: 3812: 3808: 3801: 3787: 3778: 3768: 3766: 3751: 3747: 3742: 3738: 3733: 3729: 3714: 3710: 3705: 3700: 3662:Craps principle 3657: 3625: 3617:The Sands Hotel 3577: 3562: 3530: 3519: 3513: 3510: 3495: 3479: 3468: 3444: 3433: 3427: 3424: 3409: 3393: 3382: 3358: 3350: 3333: 3327:a real casino. 3320: 3314: 3302: 3286: 3277: 3241:sleight-of-hand 3234: 3173: 3162: 3156: 3153: 3110: 3108: 3098: 3086: 3075: 3073:Optimal betting 3046: 3035: 3029: 3026: 3011: 2995: 2984: 2784: 2781: 2335:0:1 (push) on 7 2334: 2332: 2305: 2292: 2275: 2223: 2166:Hi-Lo (2 or 12) 2046:5:6 against 6,8 2045: 2043: 2015: 2013: 1999:Optimal betting 1993: 1988: 1986: 1963:Optimal betting 1957: 1952: 1887: 1876: 1870: 1867: 1852: 1836: 1825: 1808: 1797: 1791: 1788: 1773: 1757: 1746: 1737: 1712: 1701: 1695: 1692: 1649: 1647: 1637: 1625: 1614: 1557:2 or 12 (hi-lo) 1522: 1511: 1505: 1502: 1487: 1471: 1460: 1440: 1438:Big 6 and Big 8 1416: 1388: 1375: 1362: 1345: 1328: 1317: 1311: 1308: 1293: 1277: 1266: 1264:Multi-roll bets 1249: 1224: 1215: 1213:Don't Pass odds 1198: 1143: 1109: 1096: 1085: 1079: 1076: 1061: 1045: 1034: 1021: 1019:Types of wagers 997:double entendre 892: 864: 839: 817: 798: 782: 771: 762: 753: 744: 735: 726: 716: 703: 675: 615: 604: 598: 595: 580: 564: 553: 494: 481: 470: 464: 461: 451:Please help to 450: 434: 430: 423: 335: 324: 318: 315: 272: 270: 260: 248: 237: 176: 157: 146: 140: 137: 130: 117:Manual of Style 109: 105: 94: 83: 77: 74: 60:Please help by 59: 50: 46: 39: 28: 23: 22: 15: 12: 11: 5: 5571: 5561: 5560: 5555: 5553:Gambling games 5550: 5545: 5528: 5527: 5525: 5524: 5514: 5504: 5494: 5483: 5480: 5479: 5477: 5476: 5471: 5466: 5460: 5458: 5454: 5453: 5451: 5450: 5445: 5440: 5438:Game of chance 5435: 5429: 5427: 5421: 5420: 5417: 5416: 5411: 5409: 5405: 5404: 5402: 5401: 5396: 5390: 5388: 5384: 5383: 5381: 5380: 5379: 5378: 5373: 5371:Western Canada 5368: 5363: 5358: 5350: 5345: 5339: 5337: 5333: 5332: 5330: 5329: 5327:United Kingdom 5324: 5319: 5314: 5309: 5304: 5299: 5294: 5288: 5286: 5282: 5281: 5279: 5278: 5273: 5268: 5263: 5258: 5253: 5248: 5247: 5246: 5236: 5231: 5226: 5221: 5220: 5219: 5214: 5204: 5199: 5193: 5191: 5187: 5186: 5184: 5183: 5178: 5173: 5167: 5165: 5158: 5154: 5153: 5150: 5149: 5147: 5146: 5141: 5136: 5131: 5129:Asian handicap 5126: 5121: 5120: 5119: 5108: 5106: 5100: 5099: 5097: 5096: 5091: 5086: 5080: 5078: 5071: 5067: 5066: 5064: 5063: 5058: 5053: 5048: 5043: 5042: 5041: 5030: 5028: 5024: 5023: 5018: 5015: 5014: 5007: 5006: 4999: 4992: 4984: 4975: 4974: 4964: 4961: 4960: 4958: 4957: 4952: 4947: 4941: 4939: 4935: 4934: 4932: 4931: 4926: 4916: 4911: 4906: 4901: 4891: 4886: 4881: 4876: 4871: 4866: 4861: 4856: 4851: 4846: 4841: 4836: 4834:Cosmic Wimpout 4831: 4826: 4821: 4816: 4810: 4808: 4804: 4803: 4801: 4800: 4795: 4790: 4785: 4780: 4775: 4770: 4765: 4760: 4755: 4750: 4745: 4743:BαΊ§u cua tΓ΄m cΓ‘ 4740: 4734: 4732: 4731:Gambling games 4728: 4727: 4720: 4718: 4716: 4715: 4710: 4705: 4700: 4695: 4690: 4685: 4680: 4675: 4670: 4665: 4663:Pencil cricket 4660: 4655: 4653:Mutschelspiele 4650: 4645: 4640: 4635: 4630: 4625: 4620: 4615: 4610: 4605: 4600: 4595: 4590: 4585: 4580: 4575: 4570: 4565: 4560: 4555: 4550: 4545: 4539: 4537: 4533: 4532: 4525: 4524: 4517: 4510: 4502: 4496: 4495: 4474: 4473:External links 4471: 4468: 4467: 4445: 4423: 4395: 4375: 4368: 4349: 4324: 4284: 4265: 4239: 4210: 4186: 4154: 4129: 4097: 4056: 4040:Cassaon-casino 4012: 3988: 3961: 3936: 3912: 3883: 3858: 3851: 3831: 3825:978-1616080846 3824: 3806: 3800:978-0671630638 3799: 3776: 3745: 3736: 3727: 3707: 3706: 3704: 3701: 3699: 3698: 3693: 3688: 3685:Guys and Dolls 3681: 3674: 3669: 3664: 3658: 3656: 3653: 3624: 3621: 3609:Guys and Dolls 3580:Floating craps 3576: 3575:Floating craps 3573: 3561: 3558: 3532: 3531: 3482: 3480: 3473: 3467: 3464: 3446: 3445: 3396: 3394: 3387: 3381: 3378: 3357: 3354: 3349: 3346: 3332: 3329: 3316:Main article: 3313: 3310: 3301: 3298: 3285: 3282: 3276: 3273: 3233: 3230: 3229: 3228: 3225: 3222: 3219: 3216: 3213: 3210: 3207: 3204: 3175: 3174: 3089: 3087: 3080: 3074: 3071: 3070: 3069: 3065: 3062: 3058: 3048: 3047: 2998: 2996: 2989: 2983: 2980: 2960:expected value 2954: 2953: 2950: 2947: 2944: 2941: 2938: 2933: 2929: 2928: 2925: 2922: 2919: 2916: 2911: 2908: 2904: 2903: 2900: 2897: 2894: 2889: 2886: 2883: 2879: 2878: 2875: 2872: 2867: 2864: 2861: 2858: 2854: 2853: 2850: 2845: 2842: 2839: 2836: 2833: 2829: 2828: 2823: 2820: 2817: 2814: 2811: 2808: 2804: 2803: 2800: 2797: 2794: 2791: 2788: 2785: 2782: 2779: 2769: 2768: 2765: 2761: 2760: 2757: 2753: 2752: 2751:4–6, 5–5, 6–4 2749: 2745: 2744: 2741: 2737: 2736: 2733: 2729: 2728: 2723: 2717: 2716: 2713: 2709: 2708: 2705: 2701: 2700: 2699:1–3, 2–2, 3–1 2697: 2693: 2692: 2689: 2685: 2684: 2681: 2677: 2676: 2673: 2661: 2660: 2658: 2655: 2652: 2649: 2646: 2643: 2640: 2636: 2635: 2633: 2630: 2627: 2624: 2621: 2618: 2615: 2611: 2610: 2608: 2605: 2602: 2599: 2596: 2593: 2590: 2586: 2585: 2582: 2579: 2576: 2573: 2570: 2567: 2564: 2560: 2559: 2556: 2553: 2550: 2547: 2544: 2541: 2538: 2534: 2533: 2526: 2523: 2520: 2517: 2514: 2511: 2508: 2504: 2503: 2501: 2498: 2495: 2492: 2489: 2486: 2483: 2479: 2478: 2476: 2473: 2470: 2467: 2464: 2461: 2458: 2454: 2453: 2450: 2447: 2444: 2441: 2438: 2435: 2432: 2428: 2427: 2425: 2422: 2419: 2416: 2413: 2410: 2407: 2403: 2402: 2399: 2396: 2393: 2390: 2387: 2384: 2381: 2377: 2376: 2373: 2370: 2367: 2364: 2361: 2358: 2355: 2351: 2350: 2348: 2345: 2342: 2339: 2336: 2329: 2326: 2322: 2321: 2319: 2316: 2313: 2310: 2307: 2302: 2299: 2295: 2294: 2289: 2286: 2283: 2280: 2277: 2272: 2269: 2265: 2264: 2262: 2259: 2256: 2253: 2250: 2247: 2244: 2240: 2239: 2237: 2234: 2231: 2228: 2225: 2222:3:1 on 2,3,12; 2220: 2217: 2213: 2212: 2210: 2207: 2204: 2201: 2198: 2195: 2192: 2188: 2187: 2185: 2182: 2179: 2176: 2173: 2170: 2167: 2163: 2162: 2160: 2157: 2154: 2151: 2148: 2145: 2142: 2138: 2137: 2135: 2132: 2129: 2126: 2123: 2120: 2117: 2113: 2112: 2110: 2107: 2104: 2101: 2098: 2095: 2092: 2088: 2087: 2085: 2082: 2079: 2076: 2073: 2070: 2067: 2063: 2062: 2059: 2056: 2053: 2050: 2047: 2040: 2037: 2033: 2032: 2029: 2026: 2023: 2020: 2017: 2010: 2007: 2003: 2002: 1995: 1990: 1983: 1980: 1977: 1974: 1971: 1967: 1966: 1959: 1954: 1949: 1946: 1943: 1940: 1937: 1933: 1932: 1929: 1926: 1923: 1920: 1917: 1914: 1911: 1902: 1901: 1897: 1896: 1889: 1888: 1839: 1837: 1830: 1824: 1821: 1810: 1809: 1760: 1758: 1751: 1745: 1742: 1736: 1733: 1714: 1713: 1628: 1626: 1619: 1613: 1610: 1609: 1608: 1604: 1601: 1598: 1595: 1591: 1590:Whirl or World 1588: 1584: 1581: 1577: 1574: 1570: 1567: 1564: 1561: 1558: 1555: 1552: 1549: 1546: 1543: 1540: 1537: 1534: 1524: 1523: 1474: 1472: 1465: 1459: 1456: 1439: 1436: 1415: 1412: 1387: 1384: 1374: 1371: 1361: 1358: 1344: 1341: 1330: 1329: 1280: 1278: 1271: 1265: 1262: 1248: 1247:Don't Come bet 1245: 1223: 1220: 1214: 1211: 1197: 1194: 1170: 1169: 1168: 1167: 1164: 1158: 1154: 1151: 1142: 1139: 1131: 1130: 1129: 1128: 1125: 1119: 1116: 1108: 1105: 1098: 1097: 1048: 1046: 1039: 1033: 1030: 1020: 1017: 1012: 1011: 1004: 1000: 992: 989:Michael Jordan 987:Hall-of-Famer 964: 953: 949: 942: 939: 932: 931:"acey deucey". 928: 918: 917: 914: 911: 908: 905: 902: 899: 889: 888: 886: 883: 880: 877: 874: 871: 861: 860: 858: 855: 852: 849: 846: 836: 835: 833: 830: 827: 824: 814: 813: 811: 808: 805: 795: 794: 792: 789: 779: 778: 769: 760: 751: 742: 733: 724: 715: 714:Names of rolls 712: 702: 699: 687: 686: 682: 674: 673:Joining a game 671: 617: 616: 567: 565: 558: 552: 549: 493: 490: 483: 482: 437: 435: 428: 422: 419: 337: 336: 251: 249: 242: 236: 233: 204: 203: 200: 196: 195: 190: 186: 185: 182: 178: 177: 174: 159: 158: 112: 110: 103: 96: 95: 53: 51: 44: 26: 9: 6: 4: 3: 2: 5570: 5559: 5556: 5554: 5551: 5549: 5546: 5544: 5541: 5540: 5538: 5523: 5515: 5513: 5509: 5505: 5503: 5495: 5493: 5485: 5484: 5481: 5475: 5472: 5470: 5467: 5465: 5462: 5461: 5459: 5455: 5449: 5446: 5444: 5443:Game of skill 5441: 5439: 5436: 5434: 5431: 5430: 5428: 5426: 5422: 5414: 5410: 5408:South America 5406: 5400: 5397: 5395: 5392: 5391: 5389: 5385: 5377: 5374: 5372: 5369: 5367: 5364: 5362: 5359: 5357: 5354: 5353: 5351: 5349: 5348:United States 5346: 5344: 5341: 5340: 5338: 5336:North America 5334: 5328: 5325: 5323: 5320: 5318: 5315: 5313: 5310: 5308: 5305: 5303: 5300: 5298: 5295: 5293: 5290: 5289: 5287: 5283: 5277: 5274: 5272: 5269: 5267: 5264: 5262: 5259: 5257: 5254: 5252: 5249: 5245: 5242: 5241: 5240: 5237: 5235: 5232: 5230: 5227: 5225: 5222: 5218: 5215: 5213: 5210: 5209: 5208: 5205: 5203: 5200: 5198: 5195: 5194: 5192: 5188: 5182: 5179: 5177: 5174: 5172: 5169: 5168: 5166: 5162: 5159: 5155: 5145: 5142: 5140: 5137: 5135: 5132: 5130: 5127: 5125: 5122: 5118: 5117:Card counting 5115: 5114: 5113: 5110: 5109: 5107: 5105: 5101: 5095: 5092: 5090: 5087: 5085: 5082: 5081: 5079: 5075: 5072: 5068: 5062: 5059: 5057: 5054: 5052: 5049: 5047: 5046:Online casino 5044: 5040: 5037: 5036: 5035: 5032: 5031: 5029: 5025: 5021: 5016: 5012: 5005: 5000: 4998: 4993: 4991: 4986: 4985: 4982: 4972: 4968: 4962: 4956: 4953: 4951: 4948: 4946: 4943: 4942: 4940: 4936: 4930: 4927: 4924: 4923:Power Yahtzee 4920: 4917: 4915: 4912: 4910: 4907: 4905: 4902: 4899: 4895: 4894:Pass the Pigs 4892: 4890: 4887: 4885: 4882: 4880: 4877: 4875: 4872: 4870: 4867: 4865: 4862: 4860: 4857: 4855: 4852: 4850: 4847: 4845: 4842: 4840: 4837: 4835: 4832: 4830: 4827: 4825: 4822: 4820: 4817: 4815: 4812: 4811: 4809: 4805: 4799: 4796: 4794: 4791: 4789: 4786: 4784: 4781: 4779: 4776: 4774: 4771: 4769: 4766: 4764: 4761: 4759: 4756: 4754: 4751: 4749: 4746: 4744: 4741: 4739: 4736: 4735: 4733: 4729: 4724: 4714: 4711: 4709: 4706: 4704: 4701: 4699: 4696: 4694: 4691: 4689: 4686: 4684: 4681: 4679: 4676: 4674: 4671: 4669: 4666: 4664: 4661: 4659: 4656: 4654: 4651: 4649: 4646: 4644: 4641: 4639: 4636: 4634: 4631: 4629: 4626: 4624: 4621: 4619: 4616: 4614: 4611: 4609: 4606: 4604: 4601: 4599: 4596: 4594: 4591: 4589: 4586: 4584: 4581: 4579: 4576: 4574: 4571: 4569: 4566: 4564: 4561: 4559: 4556: 4554: 4551: 4549: 4546: 4544: 4541: 4540: 4538: 4534: 4530: 4523: 4518: 4516: 4511: 4509: 4504: 4503: 4500: 4491: 4490: 4485: 4482: 4477: 4476: 4456:. 24 May 2009 4455: 4449: 4434: 4427: 4421: 4417: 4413: 4412:0-8184-0634-8 4409: 4405: 4399: 4393: 4389: 4385: 4379: 4371: 4365: 4361: 4360: 4353: 4338: 4334: 4328: 4309: 4305: 4298: 4291: 4289: 4280: 4276: 4269: 4261: 4257: 4253: 4246: 4244: 4229: 4225: 4219: 4217: 4215: 4200: 4196: 4190: 4175: 4171: 4165: 4163: 4161: 4159: 4143: 4139: 4133: 4119:on 2018-08-20 4118: 4114: 4110: 4104: 4102: 4087: 4083: 4077: 4075: 4073: 4071: 4069: 4067: 4065: 4063: 4061: 4046:on 2018-08-20 4045: 4041: 4037: 4031: 4029: 4027: 4025: 4023: 4021: 4019: 4017: 4001: 3995: 3993: 3978: 3974: 3968: 3966: 3950: 3946: 3940: 3926: 3922: 3916: 3902:on 2018-02-26 3901: 3897: 3893: 3892:"Bonus Craps" 3887: 3873: 3869: 3862: 3854: 3848: 3844: 3843: 3835: 3827: 3821: 3817: 3810: 3802: 3796: 3792: 3785: 3783: 3781: 3764: 3760: 3756: 3749: 3740: 3731: 3723: 3721: 3712: 3708: 3697: 3694: 3692: 3689: 3687: 3686: 3682: 3679: 3675: 3673: 3670: 3668: 3665: 3663: 3660: 3659: 3652: 3650: 3646: 3642: 3637: 3635: 3630: 3620: 3618: 3613: 3611: 3610: 3605: 3600: 3598: 3594: 3590: 3585: 3581: 3572: 3569: 3567: 3557: 3555: 3550: 3547: 3542: 3541:of gambling. 3539: 3528: 3525: 3517: 3507: 3503: 3499: 3493: 3492: 3488: 3483:This section 3481: 3477: 3472: 3471: 3463: 3460: 3456: 3452: 3442: 3439: 3431: 3421: 3417: 3413: 3407: 3406: 3402: 3397:This section 3395: 3391: 3386: 3385: 3377: 3373: 3371: 3366: 3362: 3353: 3345: 3341: 3337: 3328: 3324: 3319: 3309: 3305: 3297: 3294: 3291: 3281: 3272: 3268: 3264: 3260: 3256: 3252: 3250: 3244: 3242: 3237: 3226: 3223: 3220: 3217: 3214: 3211: 3208: 3205: 3202: 3201: 3200: 3196: 3193: 3189: 3185: 3181: 3171: 3168: 3160: 3149: 3146: 3142: 3139: 3135: 3132: 3128: 3125: 3121: 3118: β€“  3117: 3113: 3112:Find sources: 3106: 3102: 3096: 3095: 3090:This section 3088: 3084: 3079: 3078: 3066: 3063: 3059: 3055: 3054: 3053: 3044: 3041: 3033: 3023: 3019: 3015: 3009: 3008: 3004: 2999:This section 2997: 2993: 2988: 2987: 2979: 2975: 2973: 2968: 2964: 2961: 2951: 2948: 2945: 2942: 2939: 2937: 2934: 2931: 2930: 2926: 2923: 2920: 2917: 2915: 2912: 2909: 2906: 2905: 2901: 2898: 2895: 2893: 2890: 2887: 2884: 2881: 2880: 2876: 2873: 2871: 2868: 2865: 2862: 2859: 2856: 2855: 2851: 2849: 2846: 2843: 2840: 2837: 2834: 2831: 2830: 2827: 2824: 2821: 2818: 2815: 2812: 2809: 2806: 2805: 2801: 2798: 2795: 2792: 2789: 2786: 2778: 2777: 2774: 2766: 2763: 2762: 2758: 2755: 2754: 2750: 2747: 2746: 2742: 2739: 2738: 2734: 2731: 2730: 2727: 2724: 2722: 2719: 2718: 2714: 2711: 2710: 2706: 2703: 2702: 2698: 2695: 2694: 2690: 2687: 2686: 2682: 2679: 2678: 2674: 2671: 2670: 2667: 2659: 2656: 2653: 2650: 2647: 2644: 2641: 2638: 2637: 2634: 2631: 2628: 2625: 2622: 2619: 2616: 2613: 2612: 2609: 2606: 2603: 2600: 2597: 2594: 2591: 2588: 2587: 2583: 2580: 2577: 2574: 2571: 2568: 2565: 2562: 2561: 2557: 2554: 2551: 2548: 2545: 2542: 2539: 2536: 2535: 2531: 2527: 2524: 2521: 2518: 2515: 2512: 2509: 2506: 2505: 2502: 2499: 2496: 2493: 2490: 2487: 2484: 2481: 2480: 2477: 2474: 2471: 2468: 2465: 2462: 2459: 2456: 2455: 2451: 2448: 2445: 2442: 2439: 2436: 2433: 2430: 2429: 2426: 2423: 2420: 2417: 2414: 2411: 2408: 2405: 2404: 2400: 2397: 2394: 2391: 2388: 2385: 2382: 2379: 2378: 2374: 2371: 2368: 2365: 2362: 2359: 2356: 2353: 2352: 2349: 2346: 2343: 2340: 2337: 2333:11:5 on 3,11; 2331:26:5 on 2,12; 2330: 2327: 2324: 2323: 2320: 2317: 2314: 2311: 2308: 2304:27:4 on 2,12; 2303: 2300: 2297: 2296: 2290: 2287: 2284: 2281: 2278: 2273: 2270: 2267: 2266: 2263: 2260: 2257: 2254: 2251: 2248: 2245: 2242: 2241: 2238: 2235: 2232: 2229: 2226: 2221: 2218: 2215: 2214: 2211: 2208: 2205: 2202: 2199: 2196: 2193: 2190: 2189: 2186: 2183: 2180: 2177: 2174: 2171: 2168: 2165: 2164: 2161: 2158: 2155: 2152: 2149: 2146: 2143: 2140: 2139: 2136: 2133: 2130: 2127: 2124: 2121: 2118: 2115: 2114: 2111: 2108: 2105: 2102: 2099: 2096: 2093: 2090: 2089: 2086: 2083: 2080: 2077: 2074: 2071: 2068: 2065: 2064: 2060: 2057: 2054: 2051: 2048: 2041: 2038: 2035: 2034: 2030: 2027: 2024: 2021: 2018: 2011: 2008: 2005: 2004: 2000: 1996: 1991: 1984: 1981: 1978: 1975: 1972: 1969: 1968: 1964: 1960: 1955: 1950: 1947: 1944: 1941: 1938: 1935: 1934: 1930: 1927: 1924: 1921: 1918: 1915: 1912: 1909: 1908: 1899: 1898: 1893: 1892: 1885: 1882: 1874: 1864: 1860: 1856: 1850: 1849: 1845: 1840:This section 1838: 1834: 1829: 1828: 1820: 1816: 1806: 1803: 1795: 1785: 1781: 1777: 1771: 1770: 1766: 1761:This section 1759: 1755: 1750: 1749: 1741: 1732: 1728: 1724: 1720: 1710: 1707: 1699: 1688: 1685: 1681: 1678: 1674: 1671: 1667: 1664: 1660: 1657: β€“  1656: 1652: 1651:Find sources: 1645: 1641: 1635: 1634: 1629:This section 1627: 1623: 1618: 1617: 1605: 1602: 1599: 1596: 1592: 1589: 1585: 1582: 1578: 1575: 1571: 1568: 1565: 1562: 1559: 1556: 1553: 1550: 1547: 1544: 1541: 1539:3 (ace-deuce) 1538: 1535: 1532: 1531: 1530: 1520: 1517: 1509: 1499: 1495: 1491: 1485: 1484: 1480: 1475:This section 1473: 1469: 1464: 1463: 1455: 1451: 1449: 1448:Atlantic City 1445: 1435: 1431: 1427: 1425: 1424:Atlantic City 1420: 1411: 1407: 1405: 1401: 1400:Atlantic City 1397: 1392: 1383: 1379: 1370: 1366: 1357: 1353: 1349: 1340: 1336: 1326: 1323: 1315: 1305: 1301: 1297: 1291: 1290: 1286: 1281:This section 1279: 1275: 1270: 1269: 1261: 1257: 1253: 1244: 1240: 1236: 1232: 1228: 1219: 1210: 1206: 1202: 1193: 1189: 1187: 1186:Atlantic City 1183: 1179: 1173: 1165: 1162: 1161: 1159: 1155: 1152: 1149: 1148: 1147: 1138: 1134: 1126: 1123: 1122: 1120: 1117: 1114: 1113: 1112: 1104: 1094: 1091: 1083: 1073: 1069: 1065: 1059: 1058: 1054: 1049:This section 1047: 1043: 1038: 1037: 1025: 1016: 1009: 1005: 1001: 998: 993: 990: 986: 982: 978: 974: 970: 965: 962: 958: 954: 950: 947: 946:rhyming slang 943: 940: 937: 933: 929: 925: 924: 923: 915: 913:Yo (Yo-leven) 912: 909: 906: 903: 900: 896: 891: 890: 887: 884: 881: 878: 875: 872: 868: 863: 862: 856: 853: 850: 847: 843: 838: 837: 831: 828: 825: 821: 816: 815: 809: 806: 802: 797: 796: 790: 786: 781: 780: 775: 770: 766: 761: 757: 752: 748: 743: 739: 734: 730: 725: 723: 722: 711: 709: 698: 694: 690: 683: 680: 679: 678: 670: 668: 663: 659: 655: 651: 647: 645: 635: 631: 627: 624: 613: 610: 602: 592: 588: 584: 578: 577: 573: 568:This section 566: 562: 557: 556: 551:Rules of play 548: 544: 540: 536: 533: 532: 527: 526: 520: 519: 513: 509: 508: 498: 489: 479: 476: 468: 458: 454: 448: 447: 441: 436: 427: 426: 418: 416: 411: 409: 404: 402: 398: 393: 391: 387: 383: 379: 375: 371: 366: 364: 356: 351: 343: 333: 330: 322: 311: 308: 304: 301: 297: 294: 290: 287: 283: 280: β€“  279: 275: 274:Find sources: 268: 264: 258: 257: 252:This section 250: 246: 241: 240: 232: 230: 226: 222: 218: 214: 210: 201: 197: 194: 191: 187: 183: 179: 172: 167: 155: 152: 144: 141:December 2022 134: 128: 124: 120: 118: 111: 102: 101: 92: 89: 81: 71: 67: 63: 57: 54:This article 52: 43: 42: 37: 33: 32:Craps (album) 19: 5448:List of bets 5181:South Africa 5124:Dice control 4971:Portal:Games 4839:Cthulhu Dice 4757: 4698:Shut the box 4588:Chuck-a-luck 4578:Cacho Alalay 4487: 4458:. Retrieved 4448: 4436:. Retrieved 4426: 4403: 4398: 4383: 4378: 4358: 4352: 4340:. Retrieved 4336: 4327: 4315:. Retrieved 4303: 4278: 4268: 4259: 4255: 4231:. Retrieved 4228:CrapsPit.org 4227: 4202:. Retrieved 4198: 4189: 4178:. Retrieved 4176:. 2018-03-09 4173: 4146:. Retrieved 4144:. 2014-03-25 4142:CrapsPit.org 4141: 4132: 4121:. Retrieved 4117:the original 4112: 4089:. Retrieved 4085: 4048:. Retrieved 4044:the original 4039: 4004:. Retrieved 3980:. Retrieved 3976: 3953:. Retrieved 3948: 3939: 3928:. Retrieved 3924: 3915: 3904:. Retrieved 3900:the original 3895: 3886: 3875:. Retrieved 3871: 3861: 3841: 3834: 3815: 3809: 3790: 3767:. Retrieved 3762: 3758: 3748: 3739: 3730: 3719: 3711: 3683: 3638: 3626: 3614: 3607: 3601: 3589:Benny Binion 3583: 3579: 3578: 3570: 3565: 3563: 3551: 3543: 3535: 3520: 3511: 3496:Please help 3484: 3461: 3457: 3453: 3449: 3434: 3425: 3410:Please help 3398: 3374: 3367: 3363: 3359: 3351: 3342: 3338: 3334: 3325: 3321: 3318:Dice control 3306: 3303: 3300:Superstition 3295: 3289: 3287: 3278: 3269: 3265: 3261: 3257: 3253: 3245: 3238: 3235: 3197: 3194: 3190: 3186: 3182: 3178: 3163: 3154: 3144: 3137: 3130: 3123: 3111: 3099:Please help 3094:verification 3091: 3051: 3036: 3027: 3012:Please help 3000: 2976: 2969: 2965: 2957: 2935: 2913: 2891: 2869: 2847: 2825: 2780:  Die A 2772: 2725: 2720: 2664: 2233:2, 3, 11, 12 2039:Same as paid 2012:2:1 on 4,10; 2009:Same as paid 1905:Bet Summary 1877: 1868: 1853:Please help 1841: 1817: 1813: 1798: 1789: 1774:Please help 1762: 1738: 1729: 1725: 1721: 1717: 1702: 1693: 1683: 1676: 1669: 1662: 1650: 1638:Please help 1633:verification 1630: 1527: 1512: 1503: 1488:Please help 1476: 1452: 1441: 1432: 1428: 1421: 1417: 1408: 1404:Pennsylvania 1393: 1389: 1380: 1376: 1367: 1363: 1354: 1350: 1346: 1337: 1333: 1318: 1309: 1294:Please help 1282: 1258: 1254: 1250: 1241: 1237: 1233: 1229: 1225: 1216: 1207: 1203: 1199: 1190: 1182:Pennsylvania 1174: 1171: 1144: 1135: 1132: 1110: 1101: 1086: 1077: 1062:Please help 1050: 1013: 921: 704: 695: 691: 688: 676: 664: 660: 656: 652: 648: 640: 628: 620: 605: 596: 581:Please help 569: 545: 541: 537: 530: 529: 525:base dealers 524: 523: 517: 516: 514: 510: 503: 486: 471: 462: 443: 415:World War II 412: 408:Philadelphia 405: 400: 396: 394: 367: 360: 357:, circa 1912 325: 316: 306: 299: 292: 285: 273: 261:Please help 256:verification 253: 225:casino craps 221:street craps 208: 207: 184:Seven-Eleven 147: 138: 131:Please help 114: 84: 75: 62:spinning off 55: 18:Street craps 5522:WikiProject 5433:Casino game 5399:New Zealand 5239:Philippines 5077:Mathematics 4929:Zombie Dice 4864:Dragon Dice 4819:Battle Dice 4773:Hoo Hey How 4633:Liar's dice 3696:Probability 3566:"crapshoot" 3232:Table rules 2344:2,3,7,11,12 2306:3:1 on 3,11 2276:2:1 on 2,12 2014:3:2 on 5,9; 1936:Pass / Come 1612:Player bets 969:Jesse James 907:Nine (Nina) 882:Nine (Nina) 857:Hard Eight 791:Snake Eyes 708:loaded dice 492:Craps table 457:introducing 382:New Orleans 181:Other names 5548:Dice games 5537:Categories 5512:Wiktionary 5464:Gaming law 5197:Bangladesh 5144:Martingale 5104:Strategies 4950:Perquackey 4938:Word games 4869:Elder Sign 4849:Demon Dice 4829:Can't Stop 4824:Button Men 4788:Poker dice 4628:GlΓΌckshaus 4598:Dice 10000 4529:Dice games 4438:19 January 4342:25 January 4233:2018-08-19 4204:2018-08-19 4180:2018-08-19 4148:2018-08-19 4123:2018-08-19 4091:2018-08-19 4050:2018-08-19 4006:2012-06-30 3982:2019-05-24 3955:2018-02-25 3930:2018-02-25 3906:2018-02-25 3877:2018-02-25 3872:Covers.com 3703:References 3641:New Jersey 3629:Golden Arm 3514:April 2018 3428:April 2018 3157:April 2018 3127:newspapers 3030:April 2018 2243:Any 7 2016:6:5 on 6,8 1919:House Edge 1871:April 2018 1792:April 2018 1696:April 2018 1666:newspapers 1597:On the Hop 1506:April 2018 1444:even money 1312:April 2018 1141:Don't Pass 1080:April 2018 904:Easy Eight 879:Easy Eight 810:Hard Four 667:vice versa 599:April 2018 465:April 2018 440:references 421:Bank craps 319:April 2018 289:newspapers 66:relocating 5394:Australia 5256:Singapore 5212:Hong Kong 5157:By region 4955:Scribbage 4884:Las Vegas 4703:Three man 4678:Pugasaing 4658:Passe-dix 4608:Drop Dead 4489:MathWorld 4174:Gamboool! 3602:The 1950 3485:does not 3399:does not 3275:Etiquette 3001:does not 2759:5–6, 6–5 2691:1–2, 2–1 2672:Dice roll 2315:2,3,11,12 2224:7:1 on 11 1916:Odds Paid 1913:True Odds 1895:variants. 1842:does not 1763:does not 1576:Any seven 1569:C & E 1477:does not 1396:Las Vegas 1283:does not 1196:Pass odds 1178:Las Vegas 1107:Pass line 1051:does not 1032:Line bets 885:Hard Ten 832:Hard Six 826:Easy Four 807:Ace Deuce 570:does not 213:dice game 193:Dice game 129:(and/or). 127:MOS:SLASH 27:Dice game 5492:Category 5266:Thailand 5234:Pakistan 5202:Cambodia 5051:Cardroom 5011:Gambling 4874:The Game 4854:Diceland 4798:Tien Gow 4648:Midnight 4623:Generala 4603:Diceball 4583:Chingona 4553:Beer die 4548:Bar dice 4460:2 August 4308:Archived 3769:28 March 3655:See also 3606:musical 3604:Broadway 3593:Binion's 3584:floating 3331:Variants 2972:variance 2206:2, 3, 12 1414:Hard way 1222:Come bet 981:Carolina 973:Pasadena 910:Easy Ten 873:Easy Six 851:Easy Six 531:stickman 374:Crusades 78:May 2020 5502:Commons 5387:Oceania 5361:Ontario 5352:Canada 5322:Ukraine 5292:Estonia 5276:Vietnam 5176:Nigeria 5070:Science 4919:Yahtzee 4904:Sagrada 4889:Owzthat 4753:Chō-han 4568:Bo Bing 4563:Biscuit 4484:"Craps" 4000:"Craps" 3765:(2): 69 3645:Borgata 3623:Records 3506:removed 3491:sources 3420:removed 3405:sources 3141:scholar 3116:"Craps" 3022:removed 3007:sources 2181:2 or 12 2066:Yo (11) 1973:976:949 1939:251:244 1863:removed 1848:sources 1819:chips. 1784:removed 1769:sources 1680:scholar 1655:"Craps" 1498:removed 1483:sources 1304:removed 1289:sources 1072:removed 1057:sources 1008:boxcars 957:Decatur 701:Rolling 644:natural 591:removed 576:sources 505:called 453:improve 303:scholar 278:"Craps" 235:History 5457:Issues 5413:Brazil 5356:Quebec 5343:Mexico 5317:Turkey 5312:Russia 5307:Norway 5297:France 5285:Europe 5271:Turkey 5261:Taiwan 5251:Russia 5244:Manila 5171:Angola 5164:Africa 5056:Racino 5034:Casino 5027:Venues 4945:Boggle 4898:Snout! 4879:Kismet 4793:Sic bo 4783:Mexico 4768:Hazard 4748:Cee-lo 4683:Sa'-ro 4618:Farkle 4558:Beetle 4418:  4410:  4390:  4366:  3849:  3822:  3797:  3143:  3136:  3129:  3122:  3114:  2363:11.11% 2341:Single 2338:13.33% 2312:Single 2282:Single 2255:Single 2252:16.67% 2230:Single 2227:11.11% 2203:Single 2200:11.11% 2178:Single 2175:11.11% 2153:Single 2150:13.89% 2128:Single 2125:13.89% 2103:Single 2100:11.11% 2078:Single 2075:11.11% 1931:Notes 1682:  1675:  1668:  1661:  1653:  1580:table. 1003:added. 977:Marina 518:boxman 442:, but 378:London 370:hazard 363:hazard 305:  298:  291:  284:  276:  199:Chance 189:Genres 5543:Craps 5425:Games 5302:Italy 5229:Japan 5224:India 5217:Macau 5207:China 4909:Swipe 4758:Craps 4713:Yatzy 4708:Yacht 4638:Macao 4573:Bunco 4543:Balut 4317:3 Feb 4311:(PDF) 4300:(PDF) 3554:poker 3148:JSTOR 3134:books 3068:bets. 3061:odds. 2783:Die B 2651:Multi 2626:Multi 2601:Multi 2575:Multi 2549:Multi 2519:Multi 2494:Multi 2491:1.52% 2469:Multi 2443:Multi 2440:6.67% 2418:Multi 2415:9.09% 2392:Multi 2389:9.09% 2366:Multi 2309:12.5% 2268:Field 2052:Multi 2022:Multi 1982:Multi 1979:1.36% 1948:Multi 1945:1.41% 1687:JSTOR 1673:books 1603:Field 1343:Place 401:crabs 310:JSTOR 296:books 211:is a 209:Craps 164:Craps 5190:Asia 5039:List 4613:Dudo 4593:Crag 4462:2016 4440:2018 4416:ISBN 4408:ISBN 4388:ISBN 4364:ISBN 4344:2017 4319:2019 3847:ISBN 3820:ISBN 3795:ISBN 3771:2020 3667:Dice 3538:bank 3489:any 3487:cite 3403:any 3401:cite 3290:etc. 3284:Tips 3120:news 3005:any 3003:cite 2958:The 2767:6–6 2683:1–1 2607:4/10 2522:4/10 2446:4/10 2383:10:1 2172:15:1 2169:17:1 2147:30:1 2144:35:1 2122:30:1 2119:35:1 2097:15:1 2094:17:1 2072:15:1 2069:17:1 1928:Lose 1846:any 1844:cite 1767:any 1765:cite 1659:news 1583:Horn 1481:any 1479:cite 1402:and 1287:any 1285:cite 1184:and 1055:any 1053:cite 936:tutu 623:dice 574:any 572:cite 282:news 202:High 36:crap 4673:Pig 4643:Mia 3647:in 3500:by 3414:by 3103:by 3016:by 2952:12 2927:11 2902:10 2657:6/8 2642:5:6 2632:5/9 2617:2:3 2592:1:2 2578:6/8 2566:6:5 2552:5/9 2540:3:2 2510:2:1 2497:6/8 2488:7:6 2485:6:5 2472:5/9 2463:7:5 2460:3:2 2437:9:5 2434:2:1 2421:6/8 2412:1:1 2409:6:5 2386:9:1 2360:7:1 2357:8:1 2328:2:1 2301:5:1 2271:5:4 2249:4:1 2246:5:1 2219:5:1 2197:7:1 2194:8:1 1976:1:1 1942:1:1 1925:Win 1910:Bet 1857:by 1778:by 1642:by 1492:by 1386:Put 1373:Lay 1360:Buy 1298:by 1066:by 985:NBA 938:"). 585:by 397:pas 380:to 265:by 217:bet 64:or 5539:: 5366:BC 4486:. 4414:, 4335:. 4306:. 4302:. 4287:^ 4277:. 4260:22 4258:. 4254:. 4242:^ 4226:. 4213:^ 4197:. 4172:. 4157:^ 4140:. 4111:. 4100:^ 4084:. 4059:^ 4038:. 4015:^ 3991:^ 3975:. 3964:^ 3947:. 3923:. 3894:. 3870:. 3779:^ 3761:. 3757:. 3627:A 3599:. 3251:. 2949:11 2946:10 2932:6 2924:10 2907:5 2882:4 2877:9 2857:3 2852:8 2832:2 2807:1 2802:6 2799:5 2796:4 2793:3 2790:2 2787:1 2764:12 2756:11 2748:10 2466:4% 2156:12 2141:12 2081:11 2049:0% 2019:0% 2001:. 1965:. 1545:Yo 1406:. 963:". 710:. 125:, 5003:e 4996:t 4989:v 4925:) 4921:( 4900:) 4896:( 4521:e 4514:t 4507:v 4492:. 4464:. 4372:. 4346:. 4321:. 4281:. 4236:. 4207:. 4183:. 4151:. 4126:. 4094:. 4053:. 4009:. 3985:. 3958:. 3933:. 3909:. 3880:. 3855:. 3828:. 3803:. 3773:. 3763:3 3724:. 3722:" 3718:" 3680:" 3676:" 3527:) 3521:( 3516:) 3512:( 3508:. 3494:. 3441:) 3435:( 3430:) 3426:( 3422:. 3408:. 3170:) 3164:( 3159:) 3155:( 3145:Β· 3138:Β· 3131:Β· 3124:Β· 3097:. 3043:) 3037:( 3032:) 3028:( 3024:. 3010:. 2943:9 2940:8 2936:7 2921:9 2918:8 2914:7 2910:6 2899:9 2896:8 2892:7 2888:6 2885:5 2874:8 2870:7 2866:6 2863:5 2860:4 2848:7 2844:6 2841:5 2838:4 2835:3 2826:7 2822:6 2819:5 2816:4 2813:3 2810:2 2740:9 2732:8 2721:7 2712:6 2704:5 2696:4 2688:3 2680:2 2654:7 2629:7 2604:7 2581:7 2555:7 2525:7 2500:7 2475:7 2449:7 2424:7 2258:7 2131:2 2116:2 2106:3 2091:3 1884:) 1878:( 1873:) 1869:( 1865:. 1851:. 1805:) 1799:( 1794:) 1790:( 1786:. 1772:. 1709:) 1703:( 1698:) 1694:( 1684:Β· 1677:Β· 1670:Β· 1663:Β· 1636:. 1519:) 1513:( 1508:) 1504:( 1500:. 1486:. 1325:) 1319:( 1314:) 1310:( 1306:. 1292:. 1093:) 1087:( 1082:) 1078:( 1074:. 1060:. 612:) 606:( 601:) 597:( 593:. 579:. 478:) 472:( 467:) 463:( 449:. 332:) 326:( 321:) 317:( 307:Β· 300:Β· 293:Β· 286:Β· 259:. 154:) 148:( 143:) 139:( 135:. 119:. 91:) 85:( 80:) 76:( 72:. 58:. 38:. 20:)

Index

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