A gaming device having a primary game and a secondary game is provided. The gaming device includes a primary game, such as blackjack or 21 operable on a wager by a player, and an optional secondary game that is operable on a secondary game wager by a player. After placing a secondary game wager and satisfying certain criteria in the primary game, one or more players are provided with a secondary game card to be used in the secondary game. The secondary game is resolved after a player has accumulated a plurality of secondary game cards over the course of several sequentially played rounds of the primary game.