# 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, 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 change decision and open the remaining doors and see 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 change decision and open the remaining doors and see car?

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