Craps is fundamentally a game of probability and mathematics. Understanding how dice outcomes are distributed is essential for making informed betting decisions at the table. With two standard six-sided dice, there are 36 possible combinations, but not all outcomes occur with equal frequency.
Probability Distribution of Dice Throws
The most probable roll is 7, which can be achieved in six different ways: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). This represents a 16.67% probability. Numbers like 2 and 12 are the least likely, occurring in only one way each (probability of 2.78%). Understanding this distribution helps explain why certain bets pay more than others—bets against more probable outcomes offer lower payouts.
Come-Out Roll and Point Establishment
The come-out roll initiates a craps round. If a 7 or 11 is rolled, pass line bettors win immediately (natural). If 2, 3, or 12 is rolled, pass line bettors lose (craps out). Any other number becomes the "point." Once a point is established, the goal becomes rolling that number again before rolling a 7. The probability of rolling a point before a 7 varies depending on which point was established, ranging from 40.91% for 6 or 8 down to 33.33% for 4 or 10.
Betting Odds and House Edge
Pass line bets have approximately a 49.29% win probability with a 1.41% house edge. Don't pass bets are slightly better at 1.36% house edge. Taking or laying odds on your pass line bet significantly reduces the house edge. True odds bets pay according to actual probability rather than a fixed payout, making them among the best bets in the casino.
Table Etiquette and Responsibility
At a craps table, maintain respect for other players and the dealers. Never touch the dice with two hands, avoid throwing dice too hard, and keep your hands away from the table during rolls. Understand that while probability guides expected outcomes over time, each individual roll is independent and random. Always set strict limits on your gambling activity and never bet more than you can afford to lose.