A casino table poker game comprises a player makes an Ante wager to play in the poker game, and a first number of cards being dealt to the player. A second number of cards is dealt to a dealer. The second number of cards dealt to the dealer is greater then the first number of cards dealt to players. The dealer displays at least a first card from the second number of cards dealt to the dealer. The at least first card analyzed by an automatic game rule of play to determine whether the card must be discarded. If the rule operates to require the at least first card be discarded according to the automatic game rule, the dealer must play the dealer hand with fewer then the second number of cards dealt to the dealer. After a final number of cards has been decided in the dealer's hand, the poker game is played to conclusion according to the game rules.