Logic probability problem.

[DrRosenRosen]

I'm sure you can google this...but it's probably more fun if you don't. This sometimes turns into a good debate.
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A thoroughly honest game-show host has placed a car behind one of three doors. There is a goat behind each of the other doors. You have no prior knowledge that allows you to distinguish among the doors. "First you point toward a door," he says. "Then I'll open one of the other doors to reveal a goat. After I've shown you the goat, you make your final choice whether to stick with your initial choice of doors, or to switch to the remaining door. You win whatever is behind the door." You begin by pointing to door number 1. The host shows you that door number 3 has a goat.

So, stick with door 1 or switch to door 2?

 

[allvol123]

You should switch, or at least if I am understanding your sceanrio correctly, you should. Anytime a game show has this scenario, where they start off with 10 doors maybe and then make you pick one, and then they drop it down to 2 doors. The one you already picked and another one, always switch.