The Monty Hall Problem

The Monty Hall Problem, similar to the Three Prisoners and Bertrand Box Paradox, It was first posed by Steve Selvin in 1975 and came to notoriety in 1990 when featured in Marilyn vos Savant's "Ask Marilyn" column in Parade magazine.


Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then s