Does Monty Know?

In the Monty Hall Problem, there's a car behind one door and goats behind the other two. The contestant chooses a door, and the host opens a different door to reveal a goat. The contestant can either stick with their original choice, or switch to the remaining unopened door.

If the host knows where the car is and will always reveal a goat, it's better to switch than to stick with your original choice. However, if the host doesn't know where the car is and opens a random door, there's no benefit to switching - even if he revealed a goat! Don't believe it? Try it for yourself!

What's going on?

Monty KnowsMonty Doesn't Know

In this version, Monty always reveals a goat behind one of the doors you didn't choose.

Choose a door!

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Monty revealed the car
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