Dan
Have I misunderstood the scenario? 3 doors, 2 with goats, one with a car?
If there are 2 goats behind doors: After you choose, Monty can always show you a door with a goat.
The scenario is effectively reduced to 2 doors, one with a goat and one with a car.
You then have a 50% chance of being correct with either door. There can be no statistical advantage to switching.
Regards
JR
"... They ne'er cared for us
yet: suffer us to famish, and their store-houses
crammed with grain; make edicts for usury, to
support usurers; repeal daily any wholesome act
established against the rich, and provide more
piercing statutes daily, to chain up and restrain
the poor. If the wars eat us not up, they will; and
there's all the love they bear us."
-- Shakespeare: Coriolanus, Act 1, scene 1