1. A gaming system comprising: at least one input device; at least one display device; at least one processor; and at least one memory device which stores a plurality of instructions, which when executed by the at least one processor, cause the at least one processor to operate with the at least one display device and the at least one input device to: display a plurality of plays of a primary wagering card game, each said play including a plurality of cards from a deck of cards, and for each said play of the primary wagering card game: (i) determine if a card accumulation triggering condition occurs for said play of the primary wagering card game; (ii) if the card accumulation triggering condition occurs for said play of the primary wagering card game; (a) enable a player to select at least one of any of the plurality of cards from said play of the primary wagering card game; (b) store in the at least one memory device information related to each selected card, wherein the information stored in the at least one memory device is stored during the plurality of plays of the primary wagering card game for use in an evaluation of the selected cards for a play of the secondary game; and (c) display an indication of each selected card in a secondary game card display area; (iii) after said play of the primary wagering card game, determine if a secondary game evaluation triggering condition occurs; and (iv) if the secondary game evaluation triggering condition occurs, evaluate the previously selected cards for the play of the secondary game, and provide the player any awards resulting from said evaluation.