Worksheet

Monty Hall

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice? — [|Whitaker/vos Savant 1990]  Extension What if there were 4 doors? The host opens one door and you get the chance to switch, then he opens a second door and you have the choice again to stick or switch. What is the best strategy now? What about considering the generalised problem with N doors?