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
Probability:
=
Round to 6 decimal places. Leave your answer in decimal form.