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So the key here is the extra help you get from the anchorman.
If you choose the car at the first place (1/3) and he opens a door with goat) then switching means loosing, staying means winning.
But if you choose a goat (2/3) and he opens the other door with a goat then switching means winning and staying means loosing.
So staying (1/3), switching (2/3).
You have 66.6% chance to win if you switch and 33.3% to win if you stay.
Again, extra info you get, changes the odds.
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