A gaming system, a gaming machine and a method is provided having a Five Card Video Draw poker game with a single hand or multiple hands. The gaming system or gaming machine first determines whether a dream card is going to be used in a particular round of play or a dream card is used on every hand. If the dream card is going to be used, then the last card of the initial hand is chosen so that, when the last card is combined with the other randomly selected cards of the initial hand, the initial starting hand will have the highest possible expected value.