# 5.14: Monty Hall Problem

Skills to Develop

- Monty Hall problem demonstration

### Instructions

This demonstration lets you play the Monty Hall game. In the Monty Hall game, a contestant is shown three doors. Two of the doors have goats behind them and one has a car. The contestant chooses a door. Before opening the chosen door, Monty Hall opens a door that has a goat behind it. The contestant can then switch to the other unopened door, or stay with the original choice. In this demonstration, you begin by clicking on a door. A different door showing a goat will then appear. You then either click your original door again or switch to a different door. You will see whether you win a car or a goat. Your cumulative results will be shown.

**Figure \(\PageIndex{1}\):** Monty Hall game demonstration starting screen

**Figure \(\PageIndex{2}\): **Monty Hall game demonstration after selecting a door

**Figure \(\PageIndex{3}\): **Monty Hall game demonstration after switching to another door

### Contributor

Online Statistics Education: A Multimedia Course of Study (http://onlinestatbook.com/). Project Leader: David M. Lane, Rice University.