The Monty Hall problem, as it is initially stated by vos Savant (and even in this link) is not well written. It make implicit assumptions about the host behavior.
If this had been clear from the beginning, there would not have been so much confusion about this problem. So in this case, vos Savant is also quite "wrong".
See https://en.wikipedia.org/wiki/Monty_Hall_problem#Other_host_...
If this had been clear from the beginning, there would not have been so much confusion about this problem. So in this case, vos Savant is also quite "wrong".