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A puzzle for you all

Name: Anonymous 2007-10-07 14:23

A rook and a bishop are placed at random on an 8x8 chess board. What is the probability that one will be attacking the other.

Name: Anonymous 2007-10-07 16:07

4 points are chosen at random in a closed disk. What is the probability that they can be the vertices of a convex 4-gon?
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