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Should I stay or should I switch doors?

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The Monty Hall Problem is a brain teaser based on the popular game show, Let's Make a Deal. The folks at Numberphile explore the famous problem which posits if a contestant should switch doors in order to find the car amongst the goats.

Monty Hall knows where the car and the goats are located. Imagine that he doesn't know where they are located. How might this affect the results of the game?

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