A device for and method of providing a poker game. In a broad aspect, the method is generally directed to a game in which, in a particular game instance, a hand is initially provided with a plurality of cards from which a user may select cards to be shifted from the hand and replaced with replacement cards. If at least one card is selected to be shifted from the hand by the user, the game is repeated for a subsequent game instance, with the hand initially provided in the subsequent game instance comprising cards corresponding to the cards that were selected to be shifted from the hand. In one exemplary embodiment, the plurality of cards is provided as a sequence of subsets of cards (e.g. five cards provided as a sequence of two initial cards followed by three individually-dealt supplementary cards), and in a particular game instance, the user decides whether or not to shift from the hand each card of a given subset in the sequence before the next subset of cards in the sequence is provided to the user.