1. in the game of tennis, one player serves to a second player to start a point. if the server misses landing
the first serve (the ball is hit out of bounds and cannot be played), the server is allowed a second serve.
suppose a particular tennis player, chris, has a 0.62 probability of a first serve landing in bounds and a
0.80 probability of a second serve landing in bounds. once a serve has landed in bounds, the players take
turns hitting the ball back and forth until one player hits the ball out of bounds or into the net. the player
who hits the ball out or into the net loses the point, and the other player wins the point. for chris, when
the first serve lands in bounds, he has a 75% chance of winning the point; however, he has only a 22%
chance of winning the point on his second serve.
a. calculate the probability that chris lands his first serve in bounds and then goes on to win the point
for a randomly selected point.
b. calculate the probability that chris misses the first serve, lands the second serve, and then wins the point.
c. calculate the probability that chris wins a randomly selected point.