A gaming system and method that enables the odds of obtaining a winning outcome or a designated outcome for a play of a game to change without modifying the paytable of the game. The gaming system makes a first determination using a first processor based on a paytable of a game. The gaming system makes a second determination using a second processor, where the second determination may be based, at least in part, on the wager amount. The gaming system displays a single game outcome to the player and either provides the player with the highest award resulting from the determinations or any awards resulting from the determinations.