The Paradox Portal
Psychological/Decision

Monty Hall Problem

Should you switch doors?

Overview

A counterintuitive probability puzzle where switching doors doubles your winning chances.

You choose one of three doors; one hides a car, two hide goats. The host (who knows) opens a goat door and offers you a chance to switch. Most people think it doesn't matter, but switching actually doubles your winning probability from 1/3 to 2/3.

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