A gaming device presents multiple hands of the game played on the gaming device as part of a single round of game play. The player wagers on whether the composite set of the multiple hands has certain attributes. If the attributes are present in the composite set, the player receives a winning outcome and receives a benefit. In a particularly contemplated implementation, the game is blackjack, and the attributes are based on the number and type of cards as well as the manner in which individual hands beat the dealer and by how many points.