2020 PUMaC Team 11
Source:
January 1, 2022
combinatoricscombinatorial geometrygeometry
Problem Statement
Three (not necessarily distinct) points in the plane which have integer coordinates between and , inclusive, are chosen uniformly at random. The probability that the area of the triangle with these three vertices is an integer is in lowest terms. If the three points are collinear, the area of the degenerate triangle is . Find .