A gaming system includes game-logic circuitry that is configured to direct the display of a graphical-user interface including selectable elements, each of which being associated with a respective outcome. The circuitry is configured to detect an initial selection of a first selectable elements and designate it as an active selection. The circuitry concurrently provides the abilities to elect to: (1) exchange the first selectable element with a another one of the selectable elements, the another one being designated—and the first losing the designation of—the active selection upon exchange, (2) eliminate one or more of the remaining selectable elements that are not the active selection by revealing a game outcome associated with the eliminated selectable element, the game outcome associated with the eliminated selectable being unavailable thereafter, and (3) reveal and accept the game outcome associated with the selectable element that is currently designated as the active selection.