In reality, Monty Hall often did not behave in the way the problem describes, that might be the source of confusion surrounding this. (e.g. sometimes he would r

In reality, Monty Hall often did not behave in the way the problem describes, that might be the source of confusion surrounding this. (e.g. sometimes he would reveal a prize and imply there might be a better prize behind one of the doors. sometimes there were only prizes and no goats, etc.)