Problem of the Week

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Cartesian Points

Posted: June 16, 2025

62 % of users got this correct

Given the points (0,0),(0,1),(0,2),(0,3),(1,0),(1,1),(1,2),(1,3),(2,0),(2,1),(2,2),(2,3),(3,0),(3,1),(3,2), and (3,3) in the Cartesian coordinate plane, what is the probability that any 3 distinct points chosen at random are collinear? Round your answer to the nearest hundredth.

Problem submitted by Mike Schieffer, Austin, TX

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