Question 104171: Reggie Miller of the Indiana Pacers is the National Basketball Association's best career free throw shooter, making 89% of his shots (USA Today, January 22, 2004). 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 he will make at least one shot?
c. What is the probability he will miss both shots?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! making 89% of his shots (USA Today, January 22, 2004). 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?
Ans: 0.89^2 = 0.7921
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b. What is the probability he will make at least one shot?
P(make at least one) = 1 - Prob(misses both) = 1-0.121 = 0.9879
c. What is the probability he will miss both shots?
Ans: (0.11)^2 = 0.121
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Comment: I worked part "c" before part "b" because b's answer is
easier to calculate if the answer to "c"is known.
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Cheers,
Stan H.
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