What would he reveal in case 3) if you haven't picked the car, if not a goat? That variant doesn't seem to make sense. Likewise for 2). If Monty reveals the ca

What would he reveal in case 3) if you haven't picked the car, if not a goat? That variant doesn't seem to make sense. Likewise for 2). If Monty reveals the car, you just pick the car. I also don't think his knowledge really matters. You have 1/3 chance of picking the car. One other door is revealed to not be the car. So odds for the other door to have the car is 2/3 - you don't even need a Monty in the story.