A wagering game in which a bonus event is triggered and during the bonus event possible bonus awards are displayed on corresponding displays of electronic gaming devices (EGDs) and eliminated one at a time until the predetermined bonus award remains and is revealed to the player. The EGDs are linked together to a main controller, and a predetermined bonus award is randomly determined for each EGD. The main controller stores all of the predetermined bonus awards for all of the EGDs participating in the bonus event, and communicates a subset of possible bonus awards to each of the EGDs, where each subset includes the predetermined bonus award to be awarded at each EGD and at least one decoy bonus award that will not be awarded. The EGDs display a bonus award show in which the decoy bonus awards are eliminated, one at a time, preferably such that the highest valued decoy bonus awards are eliminated last, until one remaining predetermined bonus award is revealed to the player.