Cover art for Monty Hall Game Show Puzzle

Monty Hall Game Show Puzzle

A game show host's classic probability puzzle from 1970s TV.

Nov 10, 2026

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Monty Hall Game Show Puzzle

A game show host's classic probability puzzle from 1970s TV.

In brief

A game show host's classic probability puzzle from 1970s TV. Monty Hall's game show puzzle demonstrates why switching doors in a three-door game increases winning chances to two-thirds. Originally reported by The New York Times.

Game Show Setup

Behind one of three doors is a new car. Behind the other two are goats.

Player Chooses Door

Contestants pick a door to guess where the car is hidden.

Host Reveals Goat

The host opens a different door to show a goat.

The main idea

Monty Hall's game show puzzle demonstrates why switching doors in a three-door game increases winning chances to two-thirds.

Read the original on The New York Times

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