Decreasing Dice

A fair 6-sided die is rolled twice. The probability that the second roll is strictly less than the first roll can be written as \(\frac{a}{b}\), where \(a\) and \(b\) are positive, coprime integers. What is the value of \(a+b\)?

Details and assumptions

The roll of a dice refers to the value on the top face of the dice.

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