Gaming systems and methods for offering a player multiple games

A gaming system may comprise a processor, a gaming machine in electronic communication with the processor, and a memory device in electronic communication with the processor with a first game and a second game stored thereon. The first game may have a first return percentage and the second game may have a second return percentage, wherein the first return percentage and the second return percentage are different. A player may elect to play the first game or the second game by selecting a first game selection device or a second game selection device, respectively, with a goal of figuring out which game has the higher return percentage.