Question 2
Let $P$ be a point chosen uniformly at random in the interior of the unit square with vertices at $(0, 0),$ $(1, 0),$ $(1, 1),$ and $(0, 1).$ The probability that the slope of the line determined by $P$ and the point $\left(\frac{5}{8}, \frac{3}{8}\right)$ is greater than or equal to $\frac{1}{2}$ can be written as $\frac{m}{n},$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$