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
Game mechanics in zero-sum games. These involve the use of "dice", usually as randomisers. Most dice used in games are the standard cubical dice numbered from 1 to 6, though games with polyhedral dice or those marked with symbols other than numbers exist. The most common use of dice is to randomly determine the outcome of an interaction in a game. An example is a player rolling a die or dice to determine how many board spaces to move a game token. Dice often determine the outcomes of in-game conflict between players, with different outcomes of the die/dice roll of different benefit