Aidan comments on Expected Creative Surprises - Less Wrong
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When I play against a superior player, I can't predict exactly where my opponent will move against me. [...] But I can predict the consequence of the unknown move, which is a win for the other player; and the more the player's actual action surprises me, the more confident I become of this final outcome."
Interestingly, playing an opponent which selects completely randomly from the range of possible moves gives a similar result: you never know what your opponent will do, but you can predict with a fair amount of confidence that you will win. And the more their actions surprise you (because you didn't spend any time thinking about such a remarkably dumb move as that), the more confident you become in your prediction of the result.