Math · Intermediate · Lesson 6 of 9
Monty Hall
Should you switch?
An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.
What you’ll learn
- In the Monty Hall game, switching wins 2/3 of the time and staying wins 1/3.
- The host’s knowledge matters: a forced reveal carries information, a random one doesn’t.
- Simulations are a powerful check when intuition and calculation disagree.
Steps
- Let’s make a deal
- Play it
- Why switching works
- 100 doors
- Four doors
- A forgetful host