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Live game
Choose your first door
Class results
What does the evidence say?
Switch
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Latest rounds
Play a round to begin collecting evidence.
Run the experiment
Small samples can fool us.
Let the computer play both strategies many times, then compare their long-run win rates.
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Choose a sample size to test the two strategies.
⅓
Your first door
Your initial choice has a one-in-three chance of hiding the car.
⅔
The other two doors
Together they hold a two-in-three chance. Monty removes a goat, concentrating that chance on the one other closed door.
The assumptions matter: Monty knows where the car is, always
opens a goat door, never opens your door, and always offers a switch.