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 05-18-2012, 04:12 PM #16 adept   Join Date: Jan 2006 Posts: 702 Re: Odd or Even prop on the flop I just realized that using both of these:Pn = n*(3*n - 1)/2 Sn = n*(3*n + 1)/2is silly: Sn - Pn = n*(3*n + 1)/2 - n*(3*n - 1)/2 = n so Sn = Pn + n. Going another route, if we solve for n via: Sm = Pn m*(3*m + 1)/2 = n*(3*n - 1)/2 m*(3*m + 1) = n*(3*n - 1) Which is trivially true for n = m = 0 and also, 3*m + 1 = 3*n - 1 = 0 n = m + 2/3 So the 2 equations are just translations of each other, as expected. To graph all the 50% thresholds, we would just use the Pn formula.

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