I find that one can get a better intuitive grasp on many things when you take them to the extreme. In this case, suppose that instead of three doors, there are

I find that one can get a better intuitive grasp on many things when you take them to the extreme. In this case, suppose that instead of three doors, there are one hundred doors and behind 99 of them there are goats and behind 1 there's the car. After you select a door, say number 14. The host then tells you that it might be behind door number 14 but out of all the other doors he opens all but door 92, so you are left with two doors to choose from. I think the choice is quite obvious at this point. If not, then try a million doors...