KöMaL 2013 C1174
The edges of a cube are coloured in three different colours such that parallel edges are the same colour. The points dividing the edges 1:2 are marked. Two marked points of each colour are selected at random. What is the probability that they are all coplanar? (It is not required to prove that the six points of a selection are coplanar.)
Official text KöMaL. Quoted with source.
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