2.3.4 In a game between two equal teams, the home team wins with probability p > 1/2. In a best of three playoff series, a team with the home advantage has a game at home, followed by a game away, followed by a home game if necessary. The series is over as soon as one team wins two games What is PH, the probability that the team with the home advantage wins the series? Is the home advantage increased by playing a three-game series rather than a one-game playoff? That is, is it true that PH p for all p > 1/2?
