Year 10

The Monty Hall problem is a puzzle involving probability loosely based on the American game show Let’s Make a Deal. The name comes from the show’s host, Monty Hall. A widely known statement of the problem appeared in a letter to Marilyn vos Savant’s Ask Marilyn column in Parade (vos Savant 1990):

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, opens 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?

To try some simulations of the game online try some of the links below

http://www.planetqhe.com/beta/IB%20mini-projects/Monty%20Hall%20java.htm

http://people.hofstra.edu/steven_r_costenoble/MontyHall/MontyHallSim.html