You don't go back to luck based, you stay skilled based, but the only skilled player in the room is the house. Baseball is a game of skill. So assume the Yanke

You don't go back to luck based, you stay skilled based, but the only skilled player in the room is the house. Baseball is a game of skill. So assume the Yankees could ban every skilled player who beat them. They make bank beating little-league rookies. It makes sense to keep the competition at that skill level. Obviously we're referring to games like Blackjack here, not roulette, which are not purely random.