MathDB
2012 Spring CHMMC Tiebreaker 3 - paint 3 faces of a regular dodecahedron

Source:

March 1, 2024
combinatoricscombinatorial geometryColoringdodecahedronCHMMC

Problem Statement

Three different faces of a regular dodecahedron are selected at random and painted. What is the probability that there is at least one pair of painted faces that share an edge?