3.40 In the game of craps, two dice are rolled. If the first roll is a 7 or an 11, the player wins. If the first roll is a 2, 3, or 12, the player loses. If any other outcome is observed on the first roll, the player wins if that outcome is rolled again before a 7 is rolled; otherwise, he loses. What is the probability of winning this game?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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3.40
In the game of craps, two dice are rolled. If the first roll is a 7 or an 11, the player wins. If the first
roll is a 2, 3, or 12, the player loses. If any other outcome is observed on the first roll, the player
wins if that outcome is rolled again before a 7 is rolled; otherwise, he loses. What is the probability
of winning this game?
Transcribed Image Text:3.40 In the game of craps, two dice are rolled. If the first roll is a 7 or an 11, the player wins. If the first roll is a 2, 3, or 12, the player loses. If any other outcome is observed on the first roll, the player wins if that outcome is rolled again before a 7 is rolled; otherwise, he loses. What is the probability of winning this game?
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