Hans is staying at a hotel that has five floors, numbered 1 through 5, and 10 rooms per floor, numbered 1 through 10. Hans forgets where his room is, but knows that it is on an odd numbered floor and the room nujmber is divisible by 3. If Hans randomly choose a room he knows might be his room, what is the probability that Hans chooses the correct room? Express your answer as a common fraction.
