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A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until

A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses.

Assuming that his shots are independent, what is the probability of this player missing a free throw for the first time on the fifth attempt?

0.4096

0.08192

0.00128

0.0016

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