You’re on a game show with 3 doors, one hiding a car.
You pick door 1. The host opens door 3 (a goat).
Should you switch to door 2?

Question

Accepted Answer

Yes — switching doubles your odds of winning (from 1/3 to 2/3). — The Monty Hall problem. Even PhDs get it wrong. The host’s knowledge changes the probability distribution.

You’re on a game show with 3 doors, one hiding a car. You pick door 1. The host opens door 3 (a goat). Should you switch to door 2?