[jrandm]

I think most of the Monty Hall confusion comes from focusing too much on the question and the math and missing the important part: The confusing setup is part of the game! Essentially it works like this:

Host: Contestant, please choose one of the 3 doors

Contestant: I choose door #1

Host: Confusing jibber-jabber to raise tension and keep this fun to watch

Contestant: I don't know what to do!

Host: Do you think the prize is behind your selection, door #1, or behind any of the others?

Expressed this way there's no confusion but it's the exact same problem. The contestant first selected 1/3 doors and the host is offering to let Contestant keep that 1/3 or choose the other 2/3. Any obfuscation in between is intentional for the sake of the game.