Quote - You're analysis is wrong right from the start.

You said:

Quote - Instead of saying there is a car and two goats, let's get abstract and say there is an A, a B, and a C.  You always pick door 1 and C is always revealed. 

You left out the case where door 1 is C. In that case it is not revealed, because Monty never shows you what's behind the door you picked.. He reveals B instead. You said that that case was excluded from the problem, but it can't be excluded because that is the third case. This is the crux of the decision that Monty makes, and that you are not aware of.

The ABC thing is really leading you down the wrong path.

Thank you.  While I was reading the initial post, this same thought struck me and I was left scratching my head.  But I didn't want to say anything because math isn't exactly my strong point, but I did kick butt with probabilities.  In fact I used the probability of dice rolls to my benefit when playing Backgammon in my 20's.  Such fun!!!  ;)

"It is good to see ourselves as others see us. Try as we may, we are never
able to know ourselves fully as we are, especially the evil side of us.
This we can do only if we are not angry with our critics but will take in good
heart whatever they might have to say." - Ghandi