Question: Pitching a perfect game In baseball, a perfect game is when a pitcher doesnt allow any hitters to reach base in all 9 innings. Historically,

Pitching a perfect game In baseball, a perfect game is when a pitcher doesn’t allow any hitters to reach base in all 9 innings. Historically, pitchers throw a perfect inning

—an inning where no hitters reach base—about 40% of the time. So to throw a perfect game, a pitcher must have 9 perfect innings in a row. Find the probability that a pitcher throws 9 perfect innings in a row, assuming the pitcher’s performance in any one inning is independent of his performance in other innings.

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