Gaming devices and systems are configured to present a game in which players place a game wager on either a banker hand or a player hand. Initial two card player and banker hands are dealt, and if either or both comprise a blackjack, the outcome of the game and associated wagers is resolved relative to those initial hands. If not, final banker and player hands are completed based upon predefined rules. The outcome of the game and the associated game wagers are then resolved relative to those final hands. In one embodiment, the final hands are resolved in similar fashion to a blackjack game with the winning hand being the one with a point total closest to 21 without going over. One or more side bets may also be available to each player.