Craps is one of the most dynamic casino games, where dice probability forms the mathematical foundation of all outcomes. When two standard six-sided dice are thrown, there are 36 possible combinations, each occurring with equal probability of 1 in 36.
The Probability Distribution: Dice sums range from 2 to 12, but not all sums occur with equal frequency. A sum of 7 is the most probable outcome, appearing in 6 of the 36 combinations (1-6, 2-5, 3-4, 4-3, 5-2, 6-1), giving it a probability of approximately 16.67%. This fundamental principle explains why 7 is significant in craps betting strategy.
Betting Odds and House Edge: Understanding true odds versus payout odds is crucial for craps players. The Pass Line and Don't Pass bets offer relatively favorable house edges of around 1.4%, making them among the best bets in the casino. Come and Don't Come bets have identical odds. Odds bets—additional wagers made after establishing points—have zero house edge, making them mathematically optimal plays when available.
Point Probability: After the come-out roll establishes a point (4, 5, 6, 8, 9, or 10), the probability of rolling that number before a 7 varies. Points of 6 and 8 offer slightly better probability than 5 and 9, while 4 and 10 are statistically harder to achieve. These probability differences directly impact your expected value on various bets.
Table Etiquette: Beyond mathematics, craps players must understand proper table behavior. Never touch the dice with two hands, avoid throwing dice off the table, and never call out numbers or use superstitious language that disrupts the game flow. Respect established shooting rituals and understand your role whether placing bets or shooting.