Monty Hall
Suppose you're on a game show and have 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.
What is the probability that the chosen door is open and you will see them in the car?
What is the probability that you will change your decision, open the remaining doors, and see the car?
What is the probability that the chosen door is open and you will see them in the car?
What is the probability that you will change your decision, open the remaining doors, and see the car?
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