Permutations with Divisibility Constraint

Consider the set consists of all four-digit integers having the digits 0, 2, 4, 6 exactly once. If I select one number from that set, what is the probability that the number is divisible by 4? The answer is in the form $\frac{\alpha}{\beta}$ for coprime integers $\alpha$ and $\beta$. Input the answer as the sum $\alpha +\beta$.