Blackjack and baccarat games have a multi-hand feature in which one or more cards, such as an Ace or a 10 count card in blackjack or a zero, 8 or 9 count card in baccarat, may be duplicated or re-used from a first hand in additional hands. The card(s) may be duplicated or re-used based upon input or selection by the player or automatically. Games of the invention may also include a bonus event where if one or more bonus elements are achieved, a bonus period is initiated and a bonus award is awarded if the player receives remaining required bonus elements as a result of the play of additional games during the bonus period. The games may be presented in video form, such as at a gaming machine, or using physical cards, such as at a gaming table.