The Monty Hall Problem and Card Counting
In the movie 21, Professor Mickey Rosa poses an interesting puzzle to his class – The Monty Hall Problem. Imagine you’re on a game show and the host presents to you three doors. Behind two of the doors are goats. Behind one of the doors is a car. Choose the correct door and you win the car. Let’s say you choose Door #1. The host, who knows what’s behind all the doors, opens Door #3 and reveals a goat. The host then offers you the choice of staying with Door #1 or switching to Door #2. Should you switch doors at this point? To answer this question you must first determine the probability of choosing the car and the probability of choosing a goat.
At first blush it may seem that it’s basically a coin flip. After … Read More »