A method of conducting a wagering game according to the rules of a base game includes defining a finite set of game indicia. The player plays multiple sequential game hand by placing a wager, receiving game indicia from the finite set cumulatively excluding any game indicia previously dealt, playing the game hand to completion, collecting the game indicia from the player and excluding the dealt game indicia from further play, and displaying at least the excluded game indicia or any winning combinations precluded by the excluded game indicia. The game hands continue in sequence until a restoration event, which may include a manually triggered restoration or an automatic restoration event, that restores the excluded game indicia. The invention also includes a method for conducting multiple game hands dealt simultaneously from a finite set continuously depleted of dealt game indicia.