A method and apparatus for providing hybrid draw poker games to online players, poker hands comprise both physical card values dealt by a dealer and electronically-generated card values from the gaming server. The gaming server receives an indication from each of the remote players of how many hands each player would like to play, and a wager amount for each hand. Electronic indications of an initial set of physical cards dealt by the dealer are then provided to the online players. In response, each player provides an indication of card values that each player would like to retain and/or an indication of card values that each player would like to discard. The gaming server assigns the retained card values selected by each player to each player's respective hands, and then generates electronic replacement card values for each hand of each player. The gaming server then performs a win/lose analysis for each hand.