Gaming device having value selection bonus

A portion of the disclosure of this patent document contains or may contain material which is subject to copyright protection. The copyright owner has no objection to the photocopy reproduction by anyone of the patent document or the patent disclosure in exactly the form it appears in the Patent and Trademark Office patent file or records, but otherwise reserves all copyright rights whatsoever. A gaming device that provides a player with an opportunity to maximize a gaming device award. The gaming device presents the player with a display having a plurality of symbols and enables the player to choose one or more of the symbols. The game reveals the award(s) associated with the selected symbols but does not reveal which awards are associated with which symbols. The game then provides the player with one or more opportunities to upgrade the total award by deselecting one or more of the selected symbols and re-selecting another symbol for each deselected symbol.