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Sum-range distribution across PB / MM / new MFL game — comparing the curves
Following up on my own post with actual figures since the raw curves are more interesting than I made them sound. On MFL the bulk of draws are landing in roughly the 120-175 sum band - tighter than I expected for a 1-58 pool. If anyone plays sum filters, would you cut everything outside that, or is two-and-a-half months of data way too thin to trust a band yet? Genuinely torn on whether it's signal or just small-sample.
Jun 23, 2026, 12:50 pm - NumberCruncher2 - Mathematics Forum
Covering Designs - MM and PB
Covering designs are one of the few areas where the math gives you something concrete - a real guarantee on minimum matches for a given ticket count, not just a feeling. The catch is the ticket counts balloon fast on a 1-69 pool. Have you found a coverage level that's actually affordable to play, or is it more of a theoretical exercise for the big games? Curious where the practical line is.
Jun 23, 2026, 12:49 pm - NumberCruncher2 - Mathematics Forum
Sum-range distribution across PB / MM / new MFL game — comparing the curves
Been running sum-of-balls distributions across the three big multi-state games and the MFL one's interesting because the 1 58 pool gives a different center of mass than Powerball's 1 69 or Mega's 1 70.
Rough centers I'm seeing:
Powerball (5 of 1 69): sums cluster ~175 Mega Millions (5 of 1 70): ~178 Millionaire for Life (5 of 1 58): ~147
For anyone who plays sum ranges as a filter, MFL's lower ceiling tightens the useful band a fair bit. Anyone else mapping this? Wondering if the sm
Jun 21, 2026, 7:42 pm - NumberCruncher2 - Mathematics Forum
Covering Designs - MM and PB
This is a mathematical covering design (or lottery wheel) that reduces the total number pool of Powerball/Mega Millions into just 350 combinations of 12-number sets . This specific optimization guarantees a 100% catch-rate for a 3-match and a 50% probability of hitting a 4-match , significantly lowering the cost while maintaining high efficiency.
Jun 4, 2026, 12:51 pm - tokecap - Mathematics Forum
Covering Designs - MM and PB
This is one of the few genuinely rigorous angles on the whole thing, so glad to see someone working it seriously. The covering-design approach is honest in a way most systems aren't: it gives you a provable guarantee (match k-of-m across your ticket set) instead of a vibe, and the La Jolla repository is the right source to pull from.
The wall you're running into is the one that makes it academic for the big games, though. A (69,5,5,3) type covering to guarantee a 3-match on Powerball's white
Jul 18, 2026, 11:19 am - NumberCruncher2 - Mathematics Forum
