SOLUTION: A basketball player has a 70% free throw shooting average, which can be interpreted to mean that the probability of his hitting any single free throw is 0.7 or 7/10. Assume that fr

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Question 339239: A basketball player has a 70% free throw shooting average, which can be interpreted to mean that the probability of his hitting any single free throw is 0.7 or 7/10. Assume that free throws are independent events, so that what happens on one free throw doesn't affect the outcome of the next.
What is the probability that in shooting five free throws he hist at least one?
Found 2 solutions by scott8148, stanbon:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
hitting at least one means NOT missing all five

the probability of missing one is .3 (1 - .7)

probability of missing all five is .3^5

probability of making at least one is ___ 1 - (.3^5)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A basketball player has a 70% free throw shooting average, which can be interpreted to mean that the probability of his hitting any single free throw is 0.7 or 7/10.
Assume that free throws are independent events, so that what happens on one free throw doesn't affect the outcome of the next.
What is the probability that in shooting five free throws he hits at least one?
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P(hits at least one) = 1 - P(misses all five)
= 1 - 0.3^5
= 1 - 0.0024
= 0.9976
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Cheers,
Stan H.
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