# 10 Stones

Ten stones all have distinct weights.

They are randomly labeled A through J.

The stone labeled B is weighed against all the other stones except J, and found to be heavier than all of them except A.

The probability that J is heavier than B is given as $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers.

What is $$a+b$$?

×