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
Pig (dice game) Pig (dice game) Pig is a simple dice game first described in print by John Scarne in 1945. As with many games of folk origin, Pig is played with many rule variations. Commercial variants of Pig include Pass the Pigs, Pig Dice, and Skunk. Pig is commonly used by mathematics teachers to teach probability concepts. Pig is one of a family of dice games described by Reiner Knizia as "jeopardy dice games". For jeopardy dice games, the dominant type of decision is whether or not to jeopardize previous gains by rolling for potential greater gains. Most jeopardy dice games can