Probability
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

  1. Let’s make a deal
  2. Play it
  3. Why switching works
  4. 100 doors
  5. Four doors
  6. A forgetful host