Suppose you're a contestant on the game show Let's Make A Deal. You are given the choice of three doors: behind one door is a car; behind the other two, goats.
You pick a door, say #1, and the host (who knows what's behind all the doors) opens another door, say #3, revealing a goat. Then he says, "Before I open the door with the car... you may stick with your first choice of door #1 or you may now switch your choice to door #2. "
Is it to your advantage to switch to door #2?
No fair searching the internet for the answer. Give your reasoning. Enjoy.
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