Card games that combine the play of Blackjack ("21") with a 3-card Poker wager or side bet ("21+3"). Each player places a basic Blackjack wager and an optional 3-card Poker 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 Poker hand is determined, where a 3-card Poker hand consists of the 2-card hand dealt to that player and the dealer's face-up card. After settling the Poker wagers, the game of Blackjack continues in a typical fashion. The invention advantageously retains all the features and advantages of Blackjack as well as provides the dynamics of 3-card Poker, without interfering with the card sequence, for enhanced player anticipation and enjoyment.