A plurality of symbols are provided to a player wherein one or more of the provided symbols are based on the predetermined game outcome. The player is enabled to select one or more of the initially dealt symbols to hold. If a symbol combination with an associated payout equal to the value associated with the predetermined game outcome may be obtained based on the held cards, the gaming device utilizes one or more backfill algorithms, to determine which card or cards, if any, need to be dealt to the player. The determined cards are provided to the player to replace the symbols designated by the player not to hold and the selected predetermined game outcome which is associated with a value equal to the payout of the player's symbol combination is provided to the player.