A gaming system receives a total wager for a game session which occurs over a designated period of time The game session includes a plurality of different wagering events. Each of the wagering events is associated with one of a plurality of different magnitudes. For each of the plurality of different wagering events, the gaming system determines: a portion of the total wager amount, and a wager by modifying the determined portion by the magnitude associated with that wagering event. The gaming system causes the wagering event to occur, determines at least one outcome for the wagering event, determines any awards based on the determined wager and the at least one determined outcome, and provides any of the determined awards to the player.