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
Catan Dice Game each road, settlement, knight, or city completed, points are awarded - however points are deducted if a player is unable to build anything on a turn. The player with the most points after 15 turns is declared the winner. Catan Dice Game Catan Dice Game is a German-style board game, developed by Klaus Teuber and published in 2007 by Catan GmbH and its licensors, Kosmos in Germany and Mayfair Games in English-speaking countries. It is a dice game re-imagining of Teuber's most notable title, "Settlers of Catan". "Catan Dice Game" can be played by any number of players, but is