A game of chance is conducted on a gaming machine including a video display and controlled by a processor in response to a wager. The game includes a plurality of selectable elements depicted on the video display. A player successively selects the displayed elements. After selecting an element of a predetermined type and prior to selecting another element, one or more of the elements that have not yet been selected are disabled such that the disabled elements cannot be subsequently selected. The plurality of elements are preferably displayed in a plurality of groups. After selecting the element of the predetermined type, all of the elements in the group containing that element are disabled.