Assume that two sports teams are playing the best-of-three series. The series alternates venues, with the Tigers being at home for the rst and (if necessary) third games. The Tigers have the 60% probability of winning any single home game against the Bulldogs, and a 30% probability of winning an away game.
(a) Draw a probability tree to determine the possible outcomes of the series.
(b) Determine the probability that the Tigers win the series?
(c) Assume that the Bulldogs manage to win the rst game. Now determine the probability that the Tigers win the series?