In: Statistics and Probability
1: You are on a game show standing in front of 3 doors. Behind 1 door there is a brand new car, behind the other 2 doors are goats. You select door #2, but before the host opens your selected door, he opens door #1, revealing a goat. The host then gives you the option of changing your selection to door #3. Should you switch doors? What is the probability that the car is behind door #3?