An anti-cheating system includes a real world controller constructed to provide a randomly generated payout of real world credits for a wager of an amount of real world credits; an entertainment software controller constructed to provide outcomes upon a player's skillful execution of an entertainment game; a game world controller connecting the real world controller to the entertainment software controller using a communication link, the game world controller constructed to: manage the entertainment software controller and communicate gameplay gambling event occurrences to the real world controller; analyze player performance information to determine whether cheating is occurring by evaluating whether the player's current gameplay performance is beyond a statistical limit of randomness inherent in the hybrid game by comparing the player's current gameplay performance with historical gameplay using an outlier test; and communicate a command to penalize the player during play of the hybrid game.