The Mathematics of Two Dice
Craps is played with two six-sided dice, creating 36 possible outcomes when both dice are rolled. Understanding these probabilities is essential for informed decision-making at the craps table. Each combination has a specific frequency of occurrence, which directly influences the odds of various bets.
The most likely result when rolling two dice is a seven, occurring in six different combinations: 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1. This fundamental fact shapes virtually all craps betting strategy. The probability of rolling a seven is 6 in 36, or approximately 16.67%. Other common rolls include six and eight, each occurring in five different combinations.
Understanding these probabilities helps players evaluate which bets offer reasonable odds versus which bets carry higher house advantages. The seven's frequency makes it both a winning and losing roll depending on the game state, which creates interesting strategic considerations.