A gaming system provides a center control unit and a plurality of gaming stations. The center control unit is provides a main game to a plurality of players. The center control unit is configured to randomly establish an outcome of the main game from a plurality of potential outcomes. The gaming stations accept a wager on the main game from respective players, receives the outcome of the main game and pays an award to one of the players as a function of the outcome of the main game. The center control unit randomly establishes one of the players as eligible for a bonus game, selects one of the potential outcomes of the main game as a bonus game eligible outcome, and if the bonus game eligible outcome is the outcome of the main game, provides a bonus game to the bonus game eligible player.