Pai Gow Poker is played with a card gaming machine. In the Pai Gow Poker, a players' hand and a dealer's hand are compared for winning/losing judgment, and a prize based on the judgment result is awarded. If a side bet is made, a bonus target card group composed of five cards is determined from cards in the dealer's hand, irrespective of winning/losing judgment result. A bonus judgment process is carried out for the bonus target card group and a bonus payout based on the judgment result is awarded to the player.