In various embodiments, the gaming system, gaming device, and gaming method disclosed herein provides a bonus game which enables players to combine different, independent features without introducing any significant advantage or significant disadvantage to players for combining certain features over other features. The gaming system utilizes one or more bonus game supplemental awards to insure that the average expected payout per selected feature remains the same or substantially the same regardless of which bonus game features or combinations of features are employed for a play of a bonus game.