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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, the probability that one of them wins a race is 2/3 if they won the previous race but only 1/3 if they lost the previous race. The probability that Zou will win exactly 5 of the 6 races is m/n where m and n are relatively prime positive integers. Find m+n.

 Mar 10, 2021
 #1
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The answer is 67

 Mar 10, 2021
 #2
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What is m and n?

Guest Mar 10, 2021

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