The Monty Hall problem is a famous illustration of probability, often counterintuitive to our logical instincts. Imagine you are on a game show choosing from three doors: behind one is a car, behind the others, goats. You pick a door, say No.1, and the host, who knows what is behind the doors, opens another door, say No. 3, revealing a goat. He then gives you a chance to switch your choice to door No. 2. What would you do?