An improved video draw poker game is disclosed wherein for each round of game play five hands of cards are sequentially dealt and played. Bets are placed on each hand, and the player selects some cards in each hand to be held, or to be rejected and replaced. Cards that are either held or rejected by a player in one hand of cards are moved forward to be played in a subsequent one of the five hands of cards to attempt to develop a better hand. The moved cards are replaced in the hand from which they are originally dealt.