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Reading Jeff Atwood’s post The Problem of the Unfinished Game, reminded me of a similar problem. The Monty Hall Problem is a well known probability puzzle that has tricked many people. In fact, if you are not familiar with it already, chances are that you’ll get it wrong. And you would be in good company along with many mathematicians and physicists, including the great mathematician, Paul Erdos. This puzzle is loosely based on the television show Let’s Make a Deal, and is equivalent to some much older puzzles you may be familiar with (e.g. the three prisoners problem). In its simplest form, it asks the following question: