The player is randomly dealt an initial poker hand, optionally of five cards, from a composite deck formed from two or more subdecks of cards. The player decides which of the initial cards to discard, if any, retaining the remaining cards from the dealt hand. The player receives replacement cards to replace the discarded cards. The player's final poker hand consists of the player's retained cards and the dealt replacement cards. The dealer evaluates the poker hand so reconstituted against a prespecified payoff table, and the player loses the game wager or receives a reward, as indicated in that payoff table. The payoff table determines the reward for a final hand based on the combination of suit, value, and source subdeck of the cards comprising that final hand.