Two sports teams, I and Il, play each other in a three-game series on one day, which ends when one team wins two games. The weather of the day is equally likely to be wet or dry. The probability that the team I play will win each game is ¾ if the weather is wet. On the other hand, the probability that the team I play will win each game is (1)/(2) if the weather is dry.
A. What is the probability that the first game is won by Team I?
B. What is the expected number of games that Team I wins if the day is wet?
C. What is the expected number of games that Team I wins if the day is dry?
D. What is the expected number of games that Team I wins after finishing the series?