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Of course it's randomly distributed around 45 -- conservation of money at work there.

As for the std deviation, the normal rule of thumb is "95 percent of samples fall within 2 std deviations". So basically, all but the highest and lowest. Well maybe two highest, because of the 0 dollar lower bound. A standard deviation of half your starting pool seems pretty high, even if we all have equal chances of being at the far end of the spectrum of results.



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