

There’s the possibility that there’s something else at play that we don’t know, and maybe cannot fathom.
The possibility that there is something hidden that we are not aware of is why Bell’s Theorem was such a revolution in physics. The experimental proof of Bell’s theorem won the nobel prize. There are no hidden variables. Probability is fundamental, not a result of some unknown process.
The premise wasn’t that the computer was 100% perfect. It was 99.9% perfect. That is its good enough such that you should assume its correct. The premise could have said 75% and it wouldn’t change anything. Saying 99% makes it simpler for the reader to assume that the computer is correct.
The computer is not supernatural. The premise does not say the computer is 100% accurate. The premise does not say that the computer can violate known laws of physics. The premise is that the computer knows your behavior.


















The OP said he flips the coin after going into the room. But the computer setup the boxes before they entered. So the computer knowing how you’d react to the coin flip can’t change the boxes.