Monthly Archives: October 2012

The Monty Hall Problem

The Monty Hall problem is one of the most interesting probability puzzles. It is a veridical paradox because the result appears impossible but is demonstrably true. The problem is following:

Suppose you are on a game show. You are asked to choose one of three doors: behind one door is a car and behind the other two are goats. Your goal is to get the car. After you pick a door, the host, who knows what’s behind the doors, opens another door, which has a goat (since the two doors that you did not choose must have a goat). The Monty Hall problem asks, “Should you stick to your original choice or should you choose the remaining unopened door or does it make any difference?”


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