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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

How many ways can numbers be split into different groups
When looking at how lottery numbers can be split into groups, it usually comes down to two everyday scenarios: labeled groups (where the groups have specific names or roles) and category splits (like dividing numbers into odds and evens, or high and low). Here is how to think about them simply: 1. Named or Labeled Groups (Order/Identity Matters) Imagine you have a handful of winning numbers and you want to sort them into specific, labeled buckets such as Group A, Group B, and Group
Today, 12:10 am - SkyLine69 - Mathematics Forum

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