Skip to content # Monty Hall Problem

## Activity Guide

# This guide looks at the activity in detail and goes into the underlying math.

Bowen, Spencer. Klein, David. (2022). Monty Hall Problem. In T. Busk (Ed.), Math Circle Activity Database. American Institute of Mathematics. https://mathcircles.org/activity/monty-hall-problem/

Contributor(s): David Klein, Spencer Bowen

Math Circles: San Francisco Math Circle

- Activity Description
- Topics Covered
- Session Styles
- Mathematical Practices

A prize is hidden behind one of three doors. You choose the door where you think the prize is hidden. But before the door is opened, one of the other 2 remaining doors is opened to reveal no prize. You can choose to keep the door you chose earlier or switch to the other remaining door. What should you do?