SOLUTION: 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 fr

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Question 1183845: 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?

0.08192

0.0016

0.00128

0.4096

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


He makes his first four free throws -- probability 0.8 each.
Then he misses hs fifth -- probability 0.2.

ANSWER: %280.8%29%5E4%2A%280.2%29+=+o.8192