Cool Probability Problem

[vaibhavR]

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?

[a.m]

yes you should switch to the other door.

the probability of the car being behind the any one of the  doors is 1/3. but when one incorrect option is removed, the probability of the car being behind the 2nd door now become 2/3 and the probability of the car being behind the first door remains 1/3. So it is advantageous to switch to door 2.

[abualex]

This Cool problem is from the Movie '21' :P

[vaibhavR]

Well originally its from here :
http://en.wikipedia.org/wiki/Monty_Hall_problem

and I got it from the book I am reading:
http://www.goodreads.com/book/show/714583.The_Man_Who_Loved_Only_Numbers