I always find this question interesting.
What constitutes a bathroom?
In the states, typically there is a sink, toilet and shower/bath in one room with a door.
In Korea, Japan, and other Asian nations, the toilet is in it's own room, with a door. And in another room, there is the sink, laundry machine (maybe -- sometimes they are on the outside of the house/apartment), and a door to the shower/bath area.
If you are referring to the toilet area, then door shut but not locked and the fan on.