I guess it's kind of intuitive that if you are playing an exhaustive game (all 52 cards) that the optimal solution would not only be optimal but deterministical

I guess it's kind of intuitive that if you are playing an exhaustive game (all 52 cards) that the optimal solution would not only be optimal but deterministically so. But I wonder if that idea just feels good and isn't true. Is it false? Anyone have a counter-example?