I read this very interesting article on Marilyn vos Savant who, at least at one point, held the world's highest recorded IQ. The article says:
When vos Savant politely responded to a reader’s inquiry on the Monty Hall Problem, a then-relatively-unknown probability puzzle, she never could’ve imagined what would unfold: though her answer was correct, she received over 10,000 letters, many from noted scholars and Ph.Ds, informing her that she was a hare-brained idiot.
What ensued for vos Savant was a nightmarish journey, rife with name-calling, gender-based assumptions, and academic persecution.
One of the more polite responses said:
You made a mistake, but look at the positive side. If all those Ph.D.’s were wrong, the country would be in some very serious trouble.
Everett Harman, Ph.D.
U.S. Army Research Institute
I do admit, though, that when I first read the problem I thought, how the hell can the answer be 2/3rds?? Until I realised the host wasn't picking one of the 2 remaining doors arbitrarily but specifically choosing the door with the goat behind it (assuming the initial choice by the contestant was incorrect).