What you wrote is that "it can never genuinely be tested." If by genuine, you mean in a televised setting, this is still incorrect. People don't need knowledge of the game to test the probabilities. The probabilities play themselves out whether people know (and/or switch) or not. They just may likely stick with the door, but then they will only win on average 33% of the time, leaving the remaining door as the winning one 66% of the time. Knowledge is not a requisite for probabilities to play out. It's only a requisite for the contestants to come out as a winner the majority of the time.
What more has to be proven? How would that not verify the probabilities by itself?
What more has to be proven? How would that not verify the probabilities by itself?
