The Mathematics of Dice Throws
Craps is fundamentally a game of probability. When two standard six-sided dice are rolled, there are 36 possible outcomes (6 × 6). However, not all numbers appear with equal frequency. The number 7 can be rolled in six different ways (1-6, 2-5, 3-4, 4-3, 5-2, 6-1), making it the most common result with approximately 16.67% probability. Conversely, 2 and 12 can only be rolled one way each (1-1 and 6-6), making them the least likely outcomes with just 2.78% probability.
Understanding these probabilities is crucial for informed decision-making at the craps table. The distribution follows a bell curve, with 7 at the peak and probabilities decreasing toward both extremes. Numbers like 6 and 8 are relatively common (5 ways each), while 3, 4, 10, and 11 fall in the middle range.
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Betting Odds Explained
Pass Line and Come Bets
The Pass Line bet, one of the most fundamental wagers in craps, wins immediately if the come-out roll is 7 or 11 (natural) and loses on 2, 3, or 12 (craps). If any other number appears, that number becomes the "point," and the shooter must roll that number again before rolling a 7 to win the bet. The odds of establishing a point and winning vary significantly depending on which number was established.
Understanding "taking odds" is essential for strategic play. This supplementary bet after a point is established offers true odds payouts, making it one of the most favorable bets available in casino gaming. The payout varies: 2-to-1 for points of 4 or 10, 3-to-2 for points of 5 or 9, and 6-to-5 for points of 6 or 8.
Table Etiquette and Shooter Responsibility
Proper conduct at the craps table maintains the game's flow and respects fellow players. As a shooter, always throw the dice with enough force to hit the back wall—this is a requirement at legitimate casinos. Place your bets promptly before the come-out roll and avoid unnecessary delays. When not shooting, stand clear of the shooter's throwing lane to prevent interference.
Learn the basic hand signals used by dealers and stickmen to communicate your bets clearly. Never touch the dice with two hands, and always retrieve the dice with one hand when it's your turn to shoot. Respect superstitions of other players without implementing them yourself—avoid saying the number 7 after a point is established, as tradition holds this brings bad luck.