1. A gaming system comprising: at least one display device: at least one input device; and at least one memory device which stores a plurality of instructions which when executed by at least one processor cause the at least one processor to operate with the at least one input device and the at least one display device to: (a) accumulate at least one outcome enhancing unit for a play of a game, and (b) if a quantity of accumulated outcome enhancing units is at least a designated quantity: (i) enable a player to elect to enhance at least one outcome for a play of a next game, (ii) if the player elects to enhance at least one outcome, provide an enhanced outcome in the play of the next game, and (iii) if the player elects not to enhance at least one outcome, provide an unenhanced outcome in the play of the next game.