I've got to put in my penny's worth in this one. No matter what, there'll
be a reasonable number of people who disagree with the "correct answer". 

My way of explaining this problem is that the chooser divides the 3 doors
into 2 groups right at the start.
Group 1: 1 door, known as the "initial choice"
Group 2: 2 doors, the "other ones"
Ultimately, the chooser must pick one of these groups and, if they choose
the right group, they get the car. 
Now (assuming the usual independences and randomnesses, blah blah) there
is a 1 third chance that the car is in Group 1 and a 2 thirds chance that
it's in Group 2 so, um, pick group 2 and don't (duh, who me) pick the door
that you know has a goat behind it unless you REALLY want a goat.

The fact that the chooser is said to "choose" 1 door at the outset is
nothing more than a distraction. The problem would be less confusing but
EXACTLY the same if the host had said "tell me 1 door you don't want an
extra clue about and I'll give you a clue about the other 2".

Wayne

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