In electronic video poker games, the contents of the deck after the deal of an initial set of cards may be modified to increase or decrease the likelihood of awards when compared to an unmodified deck. Cards may be added, removed, or reordered to alter winning probabilities after an initial set of cards are dealt. In a video poker game embodiment dealt from a standard 52-card deck, when the player holds cards of a single rank (a pair, three-of-a-kind, or four-of-a-kind), the game dynamically adds one or more cards of the held rank to the deck to enable the player to potentially achieve five-of-a-kind.