Card games that combine the play of Blackjack ("21") with a 3-card Poker wager or side bet ("21+3/4"). Each player places a basic Blackjack wager and an optional side wager before the cards are dealt. Each player is then dealt a card with the dealer receiving a face-up card. Each player is dealt a second card. At this point, the outcome of each 3-card hand is determined, where a 3-card hand consists of the 2-card hand dealt to that player and the dealer's face-up card. In a 4-card version, each 4-card hand consists of the 2-card hand dealt to the player, the dealer's face-up card, and the dealer's hole card. After settling the 3-card wagers, the game of Blackjack continues in a typical fashion. After exposing the dealer's hole card, 4-card wagers are then settled. The invention advantageously retains all the features and advantages of Blackjack as well as provides the dynamics of a proposition game, without interfering with the card sequence, for enhanced player anticipation and enjoyment.