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Omni-MATH / The Red Sox play the Yankees in a best-of-seven series that ends as soon as one…

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problem

The Red Sox play the Yankees in a best-of-seven series that ends as soon as one team wins four games. Suppose that the probability that the Red Sox win Game nn is n−16\frac{n-1}{6}. What is the probability that the Red Sox will win the series?
Plain-text mathematical notation (without MathML)
The Red Sox play the Yankees in a best-of-seven series that ends as soon as one team wins four games. Suppose that the probability that the Red Sox win Game n is (n−1)/(6). What is the probability that the Red Sox will win the series?
Original LaTeX notation
The Red Sox play the Yankees in a best-of-seven series that ends as soon as one team wins four games. Suppose that the probability that the Red Sox win Game $n$ is $\frac{n-1}{6}$. What is the probability that the Red Sox will win the series?

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