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Probability for independent events

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Reggie Miller of the Indiana Pacers is the National Basketball Association's best career free throw shooter, making 89% of his shots. Assume that late in a basketball game, Reggie Miller is fouled and is awarded two shots.

a. What is the probability that he will make both shots?
b. What is the probability that he will make at least one shot?
c. What is the probability that he will miss both shots?
d. Assume that the Indiana Pacers Center makes 58% of his free throw shots. Calculate the probabilities for the Center shown in parts a, b and c.

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This solution provides detailed explanation for probabilities of independent events.

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Solution:

The probability of making a shot is 0.89, so the probability of missing shot is 1-0.89=0.11

a. Since these two shots are independent, ...

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