Patent ID: 8808083

Claim:
A gaming system comprising: at least one input device; at least one display device; at least one processor; and at least one memory device which stores a plurality of instructions, which when executed by the at least one processor, cause the at least one processor to operate with the at least one display device and the at least one input device to, for a play of a game: (a) display a plurality of available awards to a player, (b) randomly select one of the plurality of available awards, (c) form an award subset including the randomly selected award, (d) remove the randomly selected award from the plurality of available awards, wherein said removed award is unavailable to be randomly selected again for the play of the game, and (e) if the randomly selected award is not a final award: (i) enable the player to accept or reject the formed award subset, (ii) if the player accepts the formed award subset: (A) randomly select one of the awards from the formed award subset, and (B) accumulate the randomly selected award from the formed subset of award, and (iii) if the player rejects the formed award subset: (A) randomly select another one of the plurality of available awards, (B) add the other randomly selected award to the formed award subset, and (C) repeat (d) to (e) at least once.