# Winning At A Simple Game of Dice

**Discrete Mathematics**Level 2

Calvin and David play a game of dice. They each throw 1 fair 6-sided dice. The probability that the number on David's dice is bigger than the number on Calvin's dice is \( \frac {a}{b} \), where \(a\) and \(b\) are positive coprime integers. What is the value of \(a+b\)?