Various embodiments of the present disclosure are directed to a gaming system and method providing a bonus opportunity when a designated relationship exists between a plurality of randomly determined elements. The gaming system randomly generates a plurality of elements in association with a play of a secondary game. The gaming system determines whether a designated relationship exists between the randomly determined elements. If the designated relationship exists between the randomly determined elements, the gaming system determines a bonus opportunity associated with the randomly determined elements and provides the bonus opportunity to a player.