consider the following. The score of a basketball game is Tigers 67,
Bears 66 with seconds to play. John, one of the Bears' players, is fouled just before the buzzer
and is awarded two free throws. >From past experience, we know that John has a 70%
chance of making the first free throw. If he makes the shot, he gets some confidence, and his
chance of making the second shot is 80%. However, if he misses the first shot, then he gets
discouraged and makes the second shot only 40% of the time. What is the probability that
John misses both shots, letting the Tigers win?