> If I always guess incorrectly, then I'm correctly guessing the incorrect choice.
No, you aren't, because you aren't saying that it is the incorrect choice. You are saying it is the correct one.
No, you aren't, because you aren't saying that it is the incorrect choice. You are saying it is the correct one.
Thus “random,” aka, 50% is the target: this algorithm cannot predict what you do; you have free will.