The 1987 World Series was tied at two games a piece before the St. Louis Cardinals won

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The 1987 World Series was tied at two games a piece before the St. Louis Cardinals won the fifth game. According to the Associated Press, “The numbers of history support the Cardinals and the momentum they carry. Whenever the series has been tied 2–2 the team that won the fifth game won the series 71% of the time.” If momentum is not a factor and each team has a 50% chance of winning each game, what is the probability that the Game 5 winner will win the series?

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