A player chooses a predetermined number of unique identifiers representing tokens from a set of tokens, forms a player hand from the token values randomly assigned to the chosen identifiers, and compares the player hand to an opponent hand or a pay table. A game can have one or more game segments. Each segment has a different number of cards, a different deck of cards, and/or plays by different rules. A player may play one or more segments in a game. A player may choose the number of consecutive games to play using the same identifier choices and/or the values randomly selected for those choices. In one form, as identifiers are selected or chosen, they are no longer available to be selected or chosen later in the game. Alternatively, identifiers are not removed as they are chosen or selected.