# Game of Chance

Probability 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 $a+b$.

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