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IMAS 2023–2024 Junior Division — First Round Question 21

IMAS · IMAS 2023–2024 Junior Division — First Round

Question 21

Three points are randomly chosen from the 11 points drawn in the following grid. If $p/q$ (written as an irreducible fraction) is the probability that these three points are the vertices of a non-degenerate triangle, what is the value of $p+q$?

Question illustration