In teaching a bunch of discrete math classes over the years, I've very rarely found someone for whom the "imagine it's 1000 doors" version helps at all. The onl

In teaching a bunch of discrete math classes over the years, I've very rarely found someone for whom the "imagine it's 1000 doors" version helps at all. The only way that gives any insight is if you've already internalized the correct answer. It makes the numbers more extreme; it does nothing to make them make intuitive sense. The version that helped you is the version that helps nearly everyone in my experience.