An electronic gaming device defines a set of all possible elements of a game. For example, in a slot machine-type game, the set of possible elements includes the symbols for cherries, bell, bar, orange, plum and seven. The gaming device further generates a set of location assignments for each of the elements, and assigns a location to each element in accordance with the set of location assignments. The player is presented with the locations and prompted to select one or more locations, depending on the type of game. The displayed locations to select are typically arranged in one or more rows of possible selections. Typically, each of the possible selections is hidden or obscured until selected by the player. The player provides his selection(s), and at least one corresponding selection signal(s) are received by the gaming device. Each received selection signal indicates an element from the set of possible elements. The selected elements are displayed, either after each selection is made or after all selections are made. The gaming device evaluates an outcome of the game in accordance with the selected elements. Depending on the type of game, the outcome may or may not be based on the order in which the elements are selected. Since the player selects the elements, he is provided with an illusion of control over the outcome of the game.