A gaming device and a method for operating the gaming device including interrelating bonus games in a bonus round by providing outcomes which transfer the player to one of the other interrelated bonus games. Each bonus game includes a different set of outcomes depending on what order the bonus game is selected by the gaming device or the player. Once an initial bonus game is selected, the player is presented with a plurality of selections which can include awards, award digits, modifiers, terminators, and other outcomes in addition to transfers to other bonus games.