And yet it's all correct. One can be convinced beyond any reasonable doubt that any given sequence has not been flipped, yet know that there is an infinitesimal

And yet it's all correct. One can be convinced beyond any reasonable doubt that any given sequence has not been flipped, yet know that there is an infinitesimal chance of being wrong. We rely on this all the time in computer science. What are the chances of guessing the private key of a bitcoin address? Is it possible? Not really, but yes it's technically possible.