A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 55% chance that the player will miss both shots, a 25% chance that he will make one of the shots, and a 20% chance that he will make both shots.
a. Construct the appropriate probability distribution.
b. What is the probability that he makes no more than one of the shots?
c. What is the probability that he makes at least one of the shots?