Puzzle #20: The Monty Hall Problem (Very Interesting – Must try!)

This is a puzzle I picked up from the Movie “21” that I was watching 2 days back. The scene is a class in MIT, where the professor gives this problem to one of the students. Here it goes:

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 says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice?

 Please send your answers directly to me on e-mail – alokgoyal_2001@yahoo.com

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2 Responses to Puzzle #20: The Monty Hall Problem (Very Interesting – Must try!)

  1. Karan Yadav says:

    Well this is very counter-intuitive (and all good puzzles are). Instead of explaining it in probability, I would just put in a grid of options available (3 in this case, assuming 2 goats are identical :-)). When you put that through, you realize that switching the door improves the odds.

  2. Alok Mittal says:

    Have seen this one a million times, and I still get confused on it 🙂

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