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) Crag (dice game) Crag is a dice game similar to Yacht and Yahtzee. It is played with three dice. The game is quicker to play than Yahtzee, and in Clement Wood and Gloria Goddard's 1940 "Complete Book of Games", it is described as a game that "shares with Yacht the supremacy among sequence dice-casting games". Over 13 rounds, players take turns to roll three dice and assign them to certain combinations in a table. After throwing the dice, a player may choose to reroll any number of those dice. This second roll is final, at which point the player chooses