I'm not sure what your point is. Assuming the host always opens a goat door, you can simply restate the problem as being allowed to pick two doors at the same t

I'm not sure what your point is. Assuming the host always opens a goat door, you can simply restate the problem as being allowed to pick two doors at the same time. You are literally choosing two doors, because if the car was behind the first he would have opened the second, and if the car was behind the second he would have opened the first. It would have looked like you are switching to one other door but you can simply look at it as switching to the other two doors, where the elimination of the dud door can be done before or after.