Best bet would be a game, where the user thinks he is in controll, but in reality it is just statistics. Like a rigged flappy bird.
I am afraid that it is impossible to fool people in flappy bird types of game.
Some individuals would be deceived but gamers who are usually sensitive about controls, number of FPS, lags, strange behavior of objects in games would be suspicious etc.
I am very fond of games which require your skill to play, but there are problems:
1. Some games of this type could be cheated with bots or scripts.
2. It is hard to manage (when game has multiplayer element) if people are not creating dualbox or multibox accounts.