The Monty Hall problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show Let's Make a Deal and named after its original host, Monty Hall.

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?

Statistically it's in your best interest to always switch doors in the above scenario. The tools below will allow you to simulate between both options and see for yourself!

Keeping your original choice

The simulation will randomly select the correct door as well as the chosen door, it will then display how often the selection is correct.





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Switching doors

The simulation will randomly select the correct door as well as the chosen door, it will then remove one incorrect door and switch the chosen door to the last remaining door.





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