Systems and methods are provided for operating a gaming system. In one embodiment, an outcome amount associated with a total number of events is determined. For example, a total payout amount associated with a number of randomly generated outcomes may be determined. Based on a parameter associated with a player, the outcome amount is allocated among and presented via the total number of events. The outcome amount may be allocated, for example, based on: a total number of events selected by the player; a total wager associated with a given number of events; and/or predetermined probabilities and/or per-event wager amount(s).