Question a basketball player makes 60 of the free throws, Ask an Expert

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Question: A basketball player makes 60% of the free throws that he attempts, except that if he has just tried and missed a free throw then his chances of making a second one go down to only 30%. Suppose he has just been awarded two free throws.

a. Find the probability that he makes both.

b. Find the probability that he makes at least one. (A tree diagram could help.)

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