Three players, A, B and C, take turns tossing a fair six-sided die in the following sequence: ABC ABC ABC … This continues until one of the players rolls a six. That player then drops out of the game and the others continue until one of them rolls a six, at which point the game ends.  What are the probabilities of the exit sequences AB, BA and CB?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Three players, A, B and C, take turns tossing a fair six-sided die in the following sequence: ABC ABC ABC … This continues until one of the players rolls a six. That player then drops out of the game and the others continue until one of them rolls a six, at which point the game ends. 

What are the probabilities of the exit sequences AB, BA and CB? 

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