A new type of progressive game can be used in conjunction with wagering games. A gaming terminal is capable of playing a progressive game that is triggered during or after the typical wagering game that is played at the gaming terminal. The gaming terminal includes an input device for receiving inputs from a player during the wagering game. Such inputs include a wager amount. A display displays a randomly selected outcome of the wagering game in response to receiving the wager amount from the player. In response to the progressive game being triggered, the display then displays a plurality of player-selectable game elements. The player selects one or more of the player-selectable game elements. The progressive game payoff is determined based on his or her selection.