The Monty Hall Problem

The Monty Hall problem is a famous probability puzzle named after Monty Hall, the original host of the TV show "Let's Make a Deal". Here’s how it works:

  1. There are three doors. Behind one door is a car; behind the other two, goats.
  2. You pick a door (but the door remains closed).
  3. Monty, who knows what's behind the doors, opens one of the other two doors, revealing a goat.
  4. You are then given a choice to stick with your original pick or switch to the other unopened door.

The question is: Is it to your advantage to switch your choice?

Door 1
Door 2
Door 3