Gameshow Problem


Nice haircut.

You are on a gameshow. You have already beaten all the other players and now have a shot at the grand prize.
In front of you are three doors. Behind one of those doors is an all expense paid college education! Behind the other two doors are goats.
The host asks you to select one of the doors. You point to a door.
After you make your selection, the host opens one of the other two doors to reveal a goat. He then asks you if you'd like to stick to your original decision or switch to the other unopened door.
What should you do? (and why?)

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