A processor controlled gaming device having a display device, wherein the display device shows the player an offer, enables the player to keep the offer and provides a predefined number of chances for the player to change a component of or upgrade the offer. The player may use all the chances, wherein the game awards the final offer or keep any one of the initial or intermediate offers. In a general embodiment, the game displays a plurality of masked values and a plurality of displayed values on the display device. The initial offer is a combination and preferably an addition of each of the displayed values. The game in one preferred general embodiment allows the player to select the displayed value to mask and thus remove from the offer and the masked value to reveal and add to the offer.