Thanks Stephen. I am not advocating simulation as a way to bypass mathematics but write these entries as a simulation or programming challenge for my readers, incl. my students. Sometimes it works and sometimes it doesn’t.

]]>Why don’t your random realisations get there? There are 190 C 45 ~= 10^44 ways to randomly allocate 45 draws. And only 20 C 10 = 184756 ways to allocate them all to 10 teams. So the probability of finding the solution in a random realisation is 2 X 10^-39.

That’s why I’m alwasys sceptical of simulation when a mathematical solution exists.

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