AI-class: "Monty Hall Problem"

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 [but the door is not opened],
and the host, who knows what's behind the doors,
opens another door, say No. 3, which has a goat.
He then says to you, "Do you want to pick door No. 2?"
Is it to your advantage to switch your choice?

The Monty Hall Paradox



Monty Hall Problem, Stanford AI-class, video with text




video answer with text