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Monty Hall problem

You face three doors: one hides a car, the other two each hide a goat. Pick the door with the car and you win.

You choose one door (not opened yet). The host, who knows where the car is, opens another door showing a goat, then asks: “Do you want to switch to the other unopened door?”

Should you switch? Which choice gives the higher chance of winning the car?

See Wikipedia: Monty Hall problem.