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The dice game Farkle uses 6 six-sided dice and the objective of the game is to be the first person to score 10,000 points. The dice game involves rolling against the odds and possibly lose your running total points. Generating functions are used to determine the probability of various roll patterns and their expected values of points earned given the number of dice rolled. We are assuming the maximum Farkle score is attained for each roll for computations. The probability of rolling a Farkle for each case and the expected values are used as guidelines for decision-making during game play.
Grand Forks, ND
Farkle, Dice Game, Probability, Combinatorics
Westrem, Karlee, "Winning Strategy for Dice Game Farkle" (2017). Essential Studies UNDergraduate Showcase. 4.