[uchetrip]

So is this one of those probability proofs that technically can be made to seem weirder than it actually is?

I fully understand probability trees and how you multiply down the branches and what have you, but that doesn't take away from the fact that at the 2nd decision, there is a 50/50 chance it's behind either door.

But you made a 1 in 3 to get to 50/50. You could have made a 1 in 3 and won the car, but you didn't, so you're now being offered a 50/50 that had 2 in 3 ways of being offered. You have been provided with more information than a straight 50/50 choice.