A gaming device displaying a plurality of award offers to a player based on a multiple independently generated events. A plurality of indicators including several components are activated for at least two activations. The indicators randomly generate and indicate components wherein the components determine one of the award offers. The award offer associated with the indicated components is presented to the player. The gaming device enables the player to accept or reject the award offer. If the player accept the award offer in one of the activations, the player receives an award associated with the award offer. If the player rejects the award offer, the gaming device continues to activate the indicators and generate new award offers until the player accepts one of the award offers or until there are no activations remaining in the game.