# Game of Chance

**Discrete Mathematics**Level 3

John chooses \(2\) numbers randomly without replacement from a bag containing the first \(10\) positive integers, leaving 8 numbers. Then, Mark chooses \(2\) numbers randomly without replacement from the bag, which leaves 6 numbers. John wins if, among the \(4\) numbers picked, he picked both the largest and the smallest. If the probability John wins can be expressed as \(\dfrac{a}{b}\), find \(a+b\).