Probability of Picking Matching Colors

A jar contains 5 blue balls, 3 red balls, and 2 green balls. Glinda picks two balls at random from the jar without replacement. What is the probability that both balls are the same color? The answer is in the form $\frac{\alpha}{\beta}$ where $\alpha$ and $\beta$ are coprime positive integers. Input the value of $\alpha + \beta$.