A gaming system and method including providing a community or group bonus event to a plurality of players at a plurality of gaming devices. For each of the players determined as eligible to participate in a triggered group bonus event, the gaming system determines that player's relative probability of winning a group bonus event award in the triggered bonus event. In one such embodiment, each player's relative probability of winning the group bonus event award is based on that player's wagering history, such as any amounts wagered by that player, the frequency of placing such wagers and/or frequency of not placing any wagers.