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Re:Monty Hall Problem by rootlocus on Thursday June 09, 2022 @02:32PM (#31685035)
You start with a 66% chance of choosing a goat. The host opens a door and shows a goat. If you switch, you turn that 66% chance of choosing a goat into a 66% chance of choosing the prize. The fact that the host knew or didn't know what was behind the door is irrelevant.

Also, if the host opened the door with the prize, what would happen then?

Re:Monty Hall Problem by etataetaet on Thursday June 09, 2022 @02:38PM (#31685120)
In your specific scenario it doesn't (I think!). However, if the host doesn't know what door the prize is behind then there is a 1/3 chance of picking the prize and you instantly loosing because both other doors are goats and you must choose one.