Probability with a Modified Die

On a fair six-sided die, Elphaba replaces the face with the 2 with a face with the 5, then she rolls it twice. What is the probability that the sum of the two results is greater than 9? The answer is in the form $\frac{\alpha}{\beta}$ where $\alpha$ and $\beta$ are coprime positive integers. Input the value of $\alpha + \beta$.