Craps is one of the most mathematically interesting casino games, where understanding probability is essential for making informed betting decisions. When two standard six-sided dice are rolled, there are 36 possible outcomes, each equally likely to occur. However, the probability of achieving specific totals varies significantly.
The number 7 is the most probable outcome, occurring in 6 different ways out of 36 possible rolls, giving it a probability of 16.67%. This is why 7 is central to craps gameplay, determining wins and losses on the come-out roll. Numbers like 2, 3, and 12 are relatively rare, occurring only 1, 2, and 1 ways respectively. Meanwhile, point numbers like 6 and 8 occur in 5 ways each, making them favorable for establishing points.
Understanding the frequency of different rolls directly influences strategic betting decisions. The come-out roll determines whether the shooter establishes a point or wins immediately with a natural (7 or 11). After a point is established, the probability dynamics shift. The shooter must roll the point number again before rolling a 7 to win. Since 7 is more likely than any other number, the house gains an edge during the point phase of the game.