You participate in a game show where you must choose between 3 doors. Behind 2 doors is a goat, but behind 1 door is a car. You pick a door, say door no. 1, but before you open the door, the host opens another door, say door no. 3, which has the car behind it. "Oops," says the host.
You lose.
Okay, man.
Anyway, here's the actual question:
I bolded the parts where it explicitly says it works the way I told you it works.
Source
Ok well in that phrasing of the problem you're right, the show has put the goat/car behind the doors ahead of time.
I don't know that's how it works on the Price Is Right or other actual game show. I would assume so, but they could set it up differently for the reasons I mentioned.
edit: although that still doesn't mean you should switch doors - that relies on the assumption that the host always opens another door (not stated in the problem) and didn't just offer you the choice (like "is that your final answer?" in Who Wants To Be A Millionaire) because he knows you picked the car.
You can see this in Savant's second follow-up article where she says "remembering that the original answer defines certain conditions, the most significant of which is that the host always opens a losing door on purpose". This is certainly not defined in the original question, which is entirely phrased about a single event and says nothing about "always". Instead of writing how she was right based on her assumptions, and they right with their assumptions, she's retconning the problem definition so only she's right.