I think you're splitting hairs here. It goes both ways: if the host were to only...

		hudibras on Feb 20, 2015 \| parent \| context \| favorite \| on: Marilyn vos Savant and the Monty Hall Problem I think you're splitting hairs here. It goes both ways: if the host were to only open a goat door if the contestant initially picks the correct door, then the contestants would quickly learn to stop switching doors.