12. Let's Make a Deal: Monte Hall has three doors, two with goats and one with a Corvette. You're not into goats. He lets you pick a door and then, without showing you what's behind it, opens one of the two remaining doors and shows you a goat. Then he offers to let you keep what's behind your door or switch to his remaining door. What should you do? (Answers: a) Stick to your original choice, b) Switch, i.e. take what's behind Monte's door, or c) It doesn't matter, you have a 50% chance of getting the car either way.)