Suppose that a particular NBA player makes88% 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?

(to 4 decimals)

b.What is the probability that he will make at least one free throw?

(to 4 decimals)

c.What is the probability that he will miss both free throws?

(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 makesof 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 makesof his free throws is a better strategy than intentionally fouling the player who makesof 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)