The world series consists of up to seven games, the first team to win four wins the series. Team A will play in their home field for games 1, 2, and 6 and 7 if necessary. Games 3, 4, and 5 (if necessary) will be played at team B's home field. Assuming each team has a 50% chance of winning every game, which team is more likely to have the home field advantage the majority of the time? For extra credit what is the expected number of games played in each home field?