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
Craps introduce his novelty to the local underclass. Fieldhands taught their friends, and deckhands carried the new game up the Mississippi River. Celebrating the popular success of his novelty, de Marigny gave the name craps to a street in his New Orleans real estate development. The central game, called "pass", from the French word for "pace" or "step", has been gradually supplemented over the decades by many companion games which can be played simultaneously. The entire collection of over one hundred separate and independent possible games is called craps. The name "craps" was a Louisiana mispronunciation of the word "crabs", which