In a game between two equal teams, the home team wins any game 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 P[H], 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 one-game playoff? That is, is it true that P[H] ≥ p for all p ≥ 1/2?