Will you change it or not?

There are 3 doors, behind which are 2 goats and a car.

You pick a door (call it door A). You're hoping for a car of course. The game show host, examines the other doors (B and C) and always opens one of them with a goat (Both doors might have goats; he'll randomly pick one to open).

Here's the game: Do you stick with door A (original guess) or switch to the unopened door?

Can't say Do not change the door with probability 2/4 Do not change the door with probability 1/4 Change the door with probability 1/3 Change the door with probability 1/4 Change the door with probability 2/3

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