ExplainerTools

Short · Probability

Should you switch doors?

Your first pick wins one time in three, and the host can't change that. Add doors until it's obvious: with a hundred, switching wins ninety-nine times in a hundred.

Try it yourself

Opens Three Doors. Change the same thing yourself.

Narrated · 33 seconds · captions includedDownload the film

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Transcript

Should you switch doors? One car, two goats. You pick a door. The host, who knows where the car is, always opens another: a goat. Stick or switch? Your first pick wins one time in three, and the host can't change that. So the last door holds the other two thirds. Now add doors. With a hundred, you pick one, and the host reveals ninety-eight goats. Still sticking? Switching wins ninety-nine times in a hundred. Try it yourself at Explainer Tools dot com.