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 that the Portland Trail Blazers’ center makes of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c), and show that intentionally fouling the Portland Trail Blazers’ center is a better strategy than intentionally fouling Jamal Crawford. Assume as in parts (a), (b), and (c) that two shots will be awarded. What is the probability that Portland Trail Blazers’ center will make both shots?
What is the probability that Portland Trail Blazers’ center will make at least one shot?
What is the probability that Portland Trail Blazers’ center will miss both shots?