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Added by Amy B.
Step 1
The probability that he will miss one shot is 10% (100% - 90%). Since the result of each free-throw is independent, the probability that he will miss both shots is 10% * 10% = 1%. Now, we want to find the probability that he will score at least one shot. This is Show more…
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Question 5 In the days he was still playing, Reggie Miller could score from the free-throw line 87% of the time. Suppose he is playing in a game and he is fouled and has to shoot two free throws. Assuming that the result of each free throw is independent of the result of the other free throw, what is the probability that he will score on both shots? Note: Please enter your answer in the box below without rounding it. Question 6 In the days he was still playing, Reggie Miller could score from the free-throw line 91% of the time. Suppose he is playing in a game and he is fouled and has to shoot two free throws. Assuming that the result of each free throw is independent of the result of the other free throw, what is the probability that he will score at least one of the shots? Note: Please enter your answer in the box below without rounding it.
Adi S.
What is the probability than a 69% free-throw shooter will miss his next free throw ?
Madhur L.
Jerry Stackhouse of the National Basketball Association's Dallas Mavericks is the best free- throw shooter on the team, making 89$\%$ of his shots (ESPN website, July, $2008 ) .$ Assume that late in a basketball game, Jerry Stackhouse is fouled and is awarded two shots. $\begin{array}{l}{\text { a. What is the probability that he will make both shots? }} \\ {\text { b. What is the probability that he will make at least one shot? }} \\ {\text { c. What is the probability that he will miss both shots? }}\end{array}$ $\begin{array}{l}{\text { d. Late in a basketball game, a team often intentionally fouls an opposing player in }} \\ {\text { order to stop the game clock. The usual strategy is to intentionally foul the other team's }} \\ {\text { worst free-throw shooter. Assume that the Dallas Mavericks' center makes } 58 \% \text { of his }}\end{array}$ free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), (b), and $(\mathrm{c}),$ and show that intentionally fouling the Dallas Mavericks' center is a better strategy than intentionally fouling Jerry Stackhouse.
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