Systems, apparatuses and methods for enhancing winning result opportunities in gaming activities. Embodiments involve identifying award-enhancing opportunities using dice during a current game to determine award-enhancing opportunities for subsequent games based on the dice results. Award-enhancing opportunities may continue over multiple games until a terminating condition is activated, or single bonus rolls of dice may be used to determine multipliers or other modifiers to enhance awards only in a single subsequent game. The award-enhancing opportunities may be triggered by a mystery or random selection process, or may be based on at least a portion of the outcome of the current game.