Suppose that a particular NBA player makes 91% of his free throws. Assume that late in a basketball game, this player is fouled and is awarded two free throws. a. What is the probability that he will make both free throws? 0.8281 (to 4 decimals) b. What is the probability that he will make at least one free throw? 0.9919 (to 4 decimals) E. What is the probability that he will miss both free throws? 0.0081 (to 4 decimals) d. Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other ceam's worst free-throw shooter. Assume the team's worst free throw shooter makes 57% of his free throws. Calculate the probabilities for this player as shown in parts a), (b), and (c), and show that intentionally fouling this player who makes 57% of his free throws is a better strategy than intentionally fouling the player who makes 01% of his free throws. Assume as in parts (a), (b), and (c) that two free throws will be awarded. Nhat is the probability that this player will make both throws? '(to 4 decimals) What is the probability that will make at least one throw?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Suppose that a particular NBA player makes 91% of his free throws. Assume that late in a basketball game, this player is fouled and is awarded two free throws.
a. What is the probability that he will make both free throws?
0.8281
(to 4 decimals)
b. What is the probability that he will make at least one free throw?
0.9919
(to 4 decimals)
c. What is the probability that he will miss both free throws?
0.0081
(to 4 decimals)
d. Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other
team's worst free-throw shooter. Assume the team's worst free throw shooter makes 57% of his free throws. Calculate the probabilities for this player as shown in parts
(a), (b), and (c), and show that intentionally fouling this player who makes 57% of his free throws is a better strategy than intentionally fouling the player who makes
91% of his free throws. Assume as in parts (a), (b), and (c) that two free throws will be awarded.
What is the probability that this player will make both throws?
(to 4 decimals)
What is the probability that will make at least one throw?
(to 4 decimals)
What is the probability that this player will miss both throws?
(to 4 decimals)
Transcribed Image Text:Suppose that a particular NBA player makes 91% of his free throws. Assume that late in a basketball game, this player is fouled and is awarded two free throws. a. What is the probability that he will make both free throws? 0.8281 (to 4 decimals) b. What is the probability that he will make at least one free throw? 0.9919 (to 4 decimals) c. What is the probability that he will miss both free throws? 0.0081 (to 4 decimals) d. Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free-throw shooter. Assume the team's worst free throw shooter makes 57% of his free throws. Calculate the probabilities for this player as shown in parts (a), (b), and (c), and show that intentionally fouling this player who makes 57% of his free throws is a better strategy than intentionally fouling the player who makes 91% of his free throws. Assume as in parts (a), (b), and (c) that two free throws will be awarded. What is the probability that this player will make both throws? (to 4 decimals) What is the probability that will make at least one throw? (to 4 decimals) What is the probability that this player will miss both throws? (to 4 decimals)
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