# Run & Hide

**Discrete Mathematics**Level 3

There are 4 human friends of the Mystery Inc. (assuming Scooby-Doo is always with Shaggy) running away from a mysterious ghost, and there are 4 available rooms to hide in.

Any of these rooms can contain up to 4 teenagers (or none at all).

If the ghost opens one of these 4 rooms in random, what is the probability that he will see no-one hiding in there?

If this probability can be expressed as \(\dfrac{a}{b}\), where \(a\) and \(b\) are coprime positive integers, enter \(a+b\) as your answer.