The game "craps" is played as follows: A player rolls two fair six-sided dice. If their sum is 7 or 11 the player wins right away. If their sum is 2,3, or 12, the player loses right away. If their sum is any other number, this number becomes the "point". The player then repeatedly rolls two dice until their sum equals the point, in which case the player wins, or equals 7, in which case the player loses. What is the probability of the player winning?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The game "craps" is played as follows: A player rolls two fair six-sided dice. If their sum is 7 or 11 the player wins right away. If their sum is 2,3, or 12, the player loses right away. If their sum is any other number, this number becomes the "point". The player then repeatedly rolls two dice until their sum equals the point, in which case the player wins, or equals 7, in which case the player loses. What is the probability of the player winning?

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