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Monty Hall Simulation
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Monty Hall Simulation

Monty Hall's Three Door Puzzle

If you are not familiar with the Monty Hall Three Door puzzle, the premise is this: There is a prize behind one of three doors. The game show host (Monty Hall) invites you to pick a door. Once you've picked a door, instead of opening it, Monty points at one of the other doors, and says "That one is empty." Now he gives you a choice. Do you keep your guess? Or do you switch to the other possible door?

There are three different answers people give to this question:

1. It doesn't matter which I choose
2. I'll keep my guess - my odds are better that way
3. I'll change my guess - my odds are better that way
Which way would you play? When you play this game, you can find out which method works the best. Try always changing your guess. Try always keeping it the same. Try being random.

Does it work the way you expected? Or were you surprised?

You'll notice at the bottom of the game, there is a link titled "Change Play Speed". Once you get the hang of how the game works, you can click that to stop the game from pausing each time you make a choice. In order to find out the truth about the game, you'll need to play a lot of games. And to do that, you'll want to play it fast.

Or you can click the "Automation" button. When you click that, the computer plays for you. When the computer plays the game, it always changes its guess after Monty tells which door is empty. If you let the computer play several hundred games, you'll start to get a pretty good idea of the probability involved.

When you're finished, you can go here to read more: Choose The Correct Door

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On the new version of The Problem Site, Monty will give you more options: How many doors do you want to have? How many empty doors do you want Monty to open?

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