> Under those assumptions, the winning odds of the switching strategy equal the odds of your initial pick NOT being the car. Only if there are three doors - or

> Under those assumptions, the winning odds of the switching strategy equal the odds of your initial pick NOT being the car. Only if there are three doors - or rather, only if the host eliminates all but two doors, one of which is the one you chose. If there are, say, four doors, and the host eliminates one, your odds of success on switching are not 3/4.