Craps is one of the most mathematically interesting casino games, built entirely on the probability of two six-sided dice outcomes. Understanding these fundamentals is essential for developing informed betting strategies.
When rolling two dice, there are exactly 36 possible combinations. The most important concept in craps is recognizing that each combination has an equal probability of appearing: one in thirty-six, or approximately 2.78%. However, different sums have varying probabilities. A seven can be rolled in six different ways (1-6, 2-5, 3-4, 4-3, 5-2, 6-1), making it the most probable outcome with a 16.67% chance.
The come-out roll determines the game's direction. Rolling a 7 or 11 wins immediately for pass line bettors (a "natural"), while 2, 3, or 12 loses immediately ("craps"). Any other number becomes the point, and the game continues with the objective of rolling the point again before rolling a 7.
Understanding point probability is crucial. Each number from 4 to 10 has different odds of being rolled again before a 7 appears. The number 6 or 8 can each be rolled in five ways, giving them a 13.89% probability and making them the second-most likely outcomes. This mathematical reality directly influences which bets offer the best value in the game.