A plurality of players participate in a primary video poker game. Anytime a player is dealt a natural Three-of-a-Kind, the player's on screen counter will be incremented by one unit. Whenever any player achieves an on screen counter that has reached three units (meaning that player has experienced three dealt Three-of-a-Kinds), then the bonus round occurs, which is three separate stud poker hands. The player who achieved the three Three-of-a-Kinds that triggered the bonus round plays all three of the bonus round hands. Any other player who has a counter of two when the bonus round is triggered, gets two of the bonus round hands, Hand One and Hand Two. Any other player who has a counter of one when the bonus round is triggered, gets one of the bonus round hands, Hand One. Any player whose counter is still at zero does not play in that bonus round.