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? This problem has been debated for years. If you look it up on the web, you can find various explanations of why it is better to switch your choice. The proof by using probability is not obvious, so we will use our method of random number simulations to explore the following questions: of opening a door (showing a goat) and each time you have the opportunity to switch your choice. By simulation, can you determine the “most winning” strategy? It can be a combination of switching or not switching in those two steps. A complete report would have the following outline: verify the results. Does this match the probability you predicted above? to verify the results.
