Craps principle and formula_29 ; in particular, the probability of a draw is irrelevant. If the game is played repeatedly until someone wins, then the conditional probability above is the probability that the player wins the game. This is illustrated below for the original game of craps, using an alternative proof. If the game being played is craps, then this principle can greatly simplify the computation of the probability of winning in a certain scenario. Specifically, if the first roll is a 4, 5, 6, 8, 9, or 10, then the dice are repeatedly re-rolled until one of two events occurs: Since
Crag (dice game) which scoring category is to be used for that round. Once a player has used a category, they cannot use it again. The scoring categories have varying point values, some of which are fixed values and others where the score depends on the value of the dice. The winner is the player who scores most points. The following are the 13 categories and the points scored in those categories: If a category is chosen but the dice do not match the requirements of the category the player scores 0 in that category. The maximum possible score is 244. Crag (dice