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Chi-Squared Goodness of Fit Test for LotteriesReply
Another issue is that even if you successfully identify a lottery with an exploitable weakness, it gets patched up pretty quickly -- either when the physical balls or machinery become deprecated and replaced, or when the PRNG machine undergoes scheduled routine service and updates. Funny how an innocuous software update can completely change the behavior of a PRNG. The best anomaly that I found in a PRNG lottery several years ago just up and disappeared when there was a leadership change in
Feb 2, 2023, 7:21 pm - cottoneyedjoe - Mathematics Forum

Another random selection puzzleReply
I had forgotten the identity Ln(1/(1-a)) = (a^n)/n, n=1 to n= for a 1. It's one of those really elegant formulas. Funny how those transcendentals sneak their way into probability questions.
Aug 26, 2022, 8:12 pm - cottoneyedjoe - Mathematics Forum