Question 16
We randomly select three points from the following grid of 15 points as shown in the diagram below, where each of the points have the same chance of being chosen. If $\frac pq$ (written as an irreducible fraction) is the probability that with these three points one can form a non-degenerate triangle, what is the value of $p+q$? (Note: A non-degenerate triangle is a triangle with a non-zero area.)
