Gaming device having a selection game with multiple groups of potential outcomes

A gaming device with a selection game that enables a player to pick one of a plurality of selections. An award, terminator or modifier associated with the picked selection is revealed to the player. If the picked selection is associated with a terminator, the selection game ends. If the picked selection is associated with an award or value, the revealed award or value is modified by each activated modifier to form at least one modified award. The modified award is then provided to the player. If the picked selection is associated with a modifier, then the revealed modifier is activated. Once activated, the modifier will modify each of the awards that are subsequently revealed during the selection game. Moreover, once a modifier is activated, the gaming device retroactively applies the activated modifier to each of the previously revealed awards or values. That is, each activated modifier will modify each of the revealed awards regardless of the order in which each modifier is activated or the order in which each award is revealed.