A gaming device, which awards an initial award to a player, discloses to a player that a higher valued enticement award is available and selectable, and enables the player to selectively swap the initial award for an opportunity to select the enticement award. The game preferably discloses the value of the initial award and the enticement award. The game masks the enticement award in a pattern along with one or more masked consolation awards, the consolation awards having values less than the value of the initial award. The game reveals the awards using a secondary display having mechanical doors that open and close.