IMO what helps is to imagine slightly changing the order. First step is still that you pick a door. There's a 1/3 chance it has the car. Now you can either kee

IMO what helps is to imagine slightly changing the order. First step is still that you pick a door. There's a 1/3 chance it has the car. Now you can either keep that single door (with a 1/3 chance of a car), or switch and get both of the other two doors (each with a 1/3 chance of the car, for a total of 2/3 chance). After you pick, I'll reveal all the goats.