Question

At half-time of a basketball game, a spectator is selected to play a game: She will make two free throw attempts. If she makes neither free throw, she wins $0. If she makes one out of the two free throws, she may draw one bill from a bag containing ten 1-dollar bills and five 5-dollar bills. If she makes both free throw attempts, she may draw two bills from the bag. Assume that her free throw attempts are independent and that she makes each free throw with probability 0.7.

(a) Find P (she makes one free throw).
(b) Find P (she wins $1 | she makes one free throw).

(c) Find P (she wins $2 | she makes two free throws).

(d) Find P (she wins $5 or more).

(e) Find P (she made two free throws|she won $5 or more).

Answer 1