An improved version of the game Pai Gow Poker allows a player to bet against the house and/or to bet against the other players. In addition to the conventional betting spot for placing a bet against the banker, an additional betting spot is located in front of each of the players which allows the player to bet against the house. This can be done whether or not the house is the banker. Thus, even if a fellow player has been designated as the banker, each other player can still choose to play against only the house. Each player can, of course, play against his or her fellow player/banker but is not required to do so. Each player can play against the house, against his or her fellow player/banker, against neither or against both.