A gaming machine for conducting a wagering game includes a display for displaying a bonus game triggered by a start-bonus outcome and for presenting a plurality of player-selectable elements. Each of the player-selectable elements has a predetermined random outcome associated therewith. A game feature associated with the bonus game is configured to introduce a computer-generated player on the display. The computer-generated player randomly selects at least one player-selectable element from the plurality of player-selectable elements.