Thanks for the comment; I wouldn't have looked at the article otherwise, and it's great, both historically and as an explanation of the problem. The most helpful part is where she simply lists all six possibilities in a table. That makes it clear that since the odds are 2/3 that you originally chose a goat, the odds must be 2/3 that "all the remaining doors" contain the car.
I also like how she suggested that people just run the experiment themselves.
I also like how she suggested that people just run the experiment themselves.