Discrete Probability

A fair six-sided die is rolled to determine an integer $x \in \{1, 2, 3, 4, 5, 6\}$, and, independently, a fair coin is flipped to determine a value $y$, where $y = 1$ if the coin shows heads and $y = 0$ if it shows tails. A token is then placed at the point $(x, y)$. What is the probability that the token's position $(x, y)$ lies on the line $x - 5y = 0$? The answer is in the form $\frac{\alpha}{\beta}$ for coprime integers $\alpha$ and $\beta$. Input the answer as the sum $\alpha +\beta$.