A base game on a gaming machine may be a conventional 5×3 video reel-type game, where awards are granted for winning symbol combinations in the base game. If a bonus trigger has occurred, a special card deck symbol is added to at least one reel, and the player is granted free bonus spins of the virtual reels in a bonus round. The player accumulates bonus win awards during the free bonus spins based on at least winning combinations of symbols. If the deck symbol is displayed after a spin, the player is randomly dealt a playing card. Dealt playing cards are accumulated until the player has accumulated seven cards. A multiplier is associated with the value of the best five-card hand, and the accumulated bonus win awards are multiplied by the multiplier to identify a final amount to be awarded to the player. The bonus game is then terminated.