One or more additional "bonus hand" cards that have no playing value are added to the deck of playing cards that is used in a video poker. When a "bonus hand" card appears in the player's initially dealt hand of cards, the player receives a second bonus hand of the initially dealt hand of cards. Alternatively, if the bonus hand card appears as one of the replacement cards during the draw step of video poker, the player is provided with another poker hand. In general, any type of triggering event is provided which awards the player another hand of video poker for no additional charge if the triggering event occurs during the player of the video poker hand.