Maths

Why switching doors wins twice as often: the Monty Hall problem

Three doors; an arrow from door 1 to door 2 marked 2/3 while door 3 stands open
30seconds
The 30-second version

Three doors, one car. You pick one, the host opens a goat door, and offers a swap. Most people say it's 50/50. It isn't: switching wins twice as often as staying.

Play the game yourself, then let a simulation run 1,000 rounds at a time. Change one rule, a host who doesn't know where the car is, and watch the advantage vanish. The odds live in the host's rules, not in the number of doors left.

Deep dive · 4 min
Deep dive · 4 min

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