re: Marilyn vos Savant and the history of the Montel Hall question

Regardless of how far out you want to extrapolate it (1000 doors, etc.), if you NEVER change your pick, Monte will always eliminate everything EXCEPT 1 car and one goat, leaving you with a 50/50 shot.
Likewise, if you change your pick EVERY time Monte exposes a new goat, he's still going to leave you with a 50/50 shot in the end.