Zou and Chou are practicing their 100-meter sprints by running 6 races against each other. Zou wins the first race, and after that, 2 the probability that one of them wins a race is 1 , if they won the previous race but only - if they lost the previous race. The 3 probability that Zou will win exactly 5 of the 6 races is where m and n are relatively prime positive integers. Find m + n.

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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Zou and Chou are practicing their 100-meter sprints by running 6 races against each other. Zou wins the first race, and after that,
1
the probability that one of them wins a race is , if they won the previous race but only , if they lost the previous race. The
3
3
m
probability that Zou will win exactly 5 of the 6 races is
-, where m and n are relatively prime positive integers. Find m + n.
n
Transcribed Image Text:Zou and Chou are practicing their 100-meter sprints by running 6 races against each other. Zou wins the first race, and after that, 1 the probability that one of them wins a race is , if they won the previous race but only , if they lost the previous race. The 3 3 m probability that Zou will win exactly 5 of the 6 races is -, where m and n are relatively prime positive integers. Find m + n. n
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