A gaming device that provides an offer/acceptance game, wherein the player preferably knows all the necessary information to make an informed decision whether to risk a currently held award and attempt to obtain a higher value award. The game determines the success or failure of a game event regardless of whether the player risks the offer award. If the player keeps an offer award, the game still displays a success or failure outcome, so that the player can see what the player missed, good or bad. The game also includes a plurality of levels or offers, wherein the player can sequentially trade up a currently held offer award a plurality of preferably predetermined times. The game is preferably embodied in a plurality of sequentially more difficult motorcycle jumps.