A casino gaming machine hosting a skill normalized hybrid game. The casino gaming machine includes a skill normalized hybrid game, including: a gambling game; an entertainment game; a game world engine constructed to manage the entertainment game and communicate gameplay gambling event occurrences based upon a player's skillful execution of the entertainment game that trigger randomly generated payouts for the gambling game to the gambling game, and a skill normalization module constructed to: receive player performance measurements for at least one player from the game world engine, assign a handicap to the at least one player based at least in part upon the performance measurements for the at least one player from the game world engine, and send information concerning handicaps to the game world engine that configures the game world engine to implement each assigned handicap within the skill normalized hybrid game.
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