olymmath

HMMT 2005 C3

  • Combinatorics
  • Answer

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?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{2}

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