April 18, 2015

Monty hall or the 3 door problem

Check how good you are at probability... the answer is not obvious and will confound even a Ph D holder.
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?

Full answer is given here 

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