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Combinatorial vs Empirical

Two models score the same random numbers, then we check both against real Powerball draws. Pure math vs historical patterns — which matches more?

Live Experiment
v6.0

Combinatorial

Pure math. Every criterion derived from combinatorial probability — no historical patterns, no mean-reversion, no gambler's fallacy.

Unique Digits17
Even Spacing12
Parity9
High/Low9
Spread9
Modular Balance9
Range Coverage9
Sum Range9
Primes9
Tens Diversity8
vE1.0

Empirical

Historical patterns. Structural base plus co-occurrence pairs, hot/cold numbers, drought bonuses, and Powerball weighting from v3/v4 era.

Parity12
High/Low12
Sum Range12
Spread10
Unique Digits10
Co-occurrence10
Hot/Cold Mix10
Drought Bonus10
PB Weighting8
Primes6

Scoreboard

19 draws scored · 190 picks per model

Small samples swing wildly. Edges shown in gray with ±values are inside the 95% noise floor at this sample size — not yet distinguishable from random variation.

MetricCombinatorialEmpiricalEdge
1+ White Match32.6%32.6%Tie
2+ White Match3.2%1.6%+1.6%±3.1%
3+ White Match0.5%0.0%+0.5%±1.0%
Powerball Match3.7%5.3%-1.6%±4.2%
Any Prize4.2%5.3%-1.1%±4.3%

Per-Draw Breakdown

May 25, 2026Winning: 17, 32, 48, 60, 64 + PB 10
Combinatorial
817264360212/5
1130435455150/5
521244356180/5
1223344651180/5
172645496851/5
412353947250/5
1617325569192/5
813355164151/5
132532365461/5
141733465941/5
Empirical
141526415950/5
1124305557240/5
51012475690/5
1116205263100/5 +PB$4
1224414649110/5
61439475090/5
132532365461/5
5736445290/5
141733465941/5
1230454768200/5
May 23, 2026Winning: 4, 16, 41, 48, 66 + PB 26
Combinatorial
1427284253160/5
79304356160/5
911344348191/5
710153659120/5
193038475670/5
520424461160/5
1924334562200/5
162738414932/5
212830465920/5
2132355667130/5
Empirical
79304356160/5
62237495480/5
1634375065261/5 +PB$4
522373946140/5
1130354854241/5
233036425780/5
72530465410/5
72640435590/5
518204152111/5
1220294366161/5
May 20, 2026Winning: 10, 28, 30, 46, 57 + PB 25
Combinatorial
12446505391/5
112446485321/5
1432394661221/5
1026394758141/5
2024374365250/5 +PB$4
56283952231/5
517243658180/5
1834464759231/5
1526345253120/5
415224053140/5
Empirical
328424950191/5
112446485321/5
334424859240/5
1026394758141/5
56283952231/5
171831366940/5
131654555920/5
162328505792/5
1320255259260/5
1423314852100/5
May 18, 2026Winning: 4, 13, 34, 61, 65 + PB 12
Combinatorial
1223344659151/5
31520415210/5
1128354660150/5
232734465841/5
1023364965131/5
1321384662111/5
210335556190/5
1224383961261/5
1120364752120/5 +PB$4
11229485680/5
Empirical
1120364752120/5 +PB$4
33440525741/5
2021373964230/5
22739485430/5
823265059100/5
72640424540/5
1014364147230/5
61730485360/5
1223285457110/5
131850525521/5
May 16, 2026Winning: 8, 37, 40, 44, 65 + PB 18
Combinatorial
721444560181/5 +PB$4
162741536820/5
162438435520/5
102842555920/5
92835375011/5
1722304655140/5
81933515291/5
1620395567240/5
1722234560250/5
1522446167131/5
Empirical
243133406991/5
1126444752201/5
15375456251/5
36224849120/5
102842555920/5
151634586740/5
92835375011/5
12930374291/5
1423274269100/5
924263745181/5 +PB$4
May 13, 2026Winning: 22, 31, 52, 56, 67 + PB 15
Combinatorial
1423303748110/5
142229436091/5
232530476470/5
216295057210/5
1726394461230/5
2022394365101/5
102641575870/5
212643596080/5
1027415862200/5
1528335259191/5
Empirical
1423303748110/5
122339415460/5
59384250210/5
1724394550120/5
27354458250/5
1120275964200/5
1223243659160/5
1931405758251/5
182540526121/5
920354154230/5
May 11, 2026Winning: 24, 30, 37, 56, 64 + PB 7
Combinatorial
29234055190/5
141529486780/5
221404953220/5
162344486580/5
1620314463260/5
72029485490/5
523284451100/5
153439476650/5
1921445057130/5
826455253220/5
Empirical
1224414750171/5
72029485490/5
14435255200/5
523284451100/5
631424748260/5
78334952120/5
532404754230/5
38405257170/5
2433415870/5 +PB$4
8950535420/5
May 9, 2026Winning: 15, 41, 46, 47, 56 + PB 22
Combinatorial
202339586550/5
1820324561150/5
819304164121/5
417364360200/5
1426315263250/5
151620415862/5
827434659221/5 +PB$4
51824465371/5
1028394653221/5 +PB$4
1826474951101/5
Empirical
2132365459180/5
52728404191/5
172835395060/5
721335056111/5
12534404380/5
423274852120/5
1112354449110/5
1729405256251/5
315344246262/5
1318394554120/5
May 6, 2026Winning: 18, 27, 51, 65, 68 + PB 5
Combinatorial
1824353752171/5
1517283650130/5
513273652251/5
1528294654160/5
92122445320/5
110273853141/5
912283750160/5
1221263754170/5
519284054150/5
621434754130/5
Empirical
1527313658121/5
513273652251/5
819243563250/5
733505261120/5
202137525490/5
911223654180/5
1415414752180/5
716535455230/5
2529445358170/5
1127455658221/5
May 4, 2026Winning: 30, 36, 42, 60, 63 + PB 13
Combinatorial
82530476411/5
1623424769121/5
1128455362220/5
225364154141/5
1332385469160/5
1829334660181/5
1019374562200/5
2334394258241/5
112730466461/5
1027324559250/5
Empirical
311323654221/5
1221475063251/5
111648536081/5
2334394258241/5
1114194855190/5
103436456181/5
6749505140/5
2126404354220/5
926285253190/5
613243958120/5
May 2, 2026Winning: 25, 37, 42, 52, 65 + PB 14
Combinatorial
2332464760130/5
718324560230/5
928424760161/5
315284456250/5
1334424769191/5
72324465860/5
141728364940/5
113304455160/5
830435556230/5
222534476091/5
Empirical
1318404752241/5
2021395366250/5
69234758210/5
315284456250/5
192247546060/5
1025294458131/5
714234952211/5
1431324758200/5
72032444960/5
51339404450/5
Apr 29, 2026Winning: 3, 19, 35, 51, 67 + PB 15
Combinatorial
72130455660/5
1927465358141/5
522333861190/5
213234475990/5
1329364257210/5
1427485259150/5 +PB$4
102325385450/5
1133525560250/5
172238436620/5
172240546990/5
Empirical
713283940180/5
710153958160/5
615194251202/5
72440426170/5
213234475990/5
17394654230/5
67334251171/5
521293844100/5
721405263180/5
1432474968230/5
Apr 27, 2026Winning: 18, 31, 33, 36, 62 + PB 3
Combinatorial
12330485480/5
57304658140/5
916384357210/5
11433475241/5
810313947101/5
182536575972/5
321325055180/5
526385461260/5
142328516780/5
123303857200/5
Empirical
12330485480/5
11433475241/5
110454754220/5
142328516780/5
125444750240/5
33439475050/5
318293544191/5
512214754250/5
112330354640/5
162831406741/5
Apr 25, 2026Winning: 4, 30, 36, 52, 57 + PB 2
Combinatorial
1215344359180/5
415365357103/5$7
101729385470/5
715324356110/5
914173558210/5
1722264951200/5
619414460240/5
12223374820/5 +PB$4
1415375661130/5
182132506730/5
Empirical
101543474870/5
1623485962160/5
1019214857211/5
322283651221/5
634474859180/5
71640525351/5
71445505120/5 +PB$4
192123446880/5
2728434462240/5
193448535650/5
Apr 22, 2026Winning: 24, 29, 32, 49, 63 + PB 11
Combinatorial
37263558170/5
223341565990/5
1731444852250/5
1325476062220/5
2328364465150/5
122639435080/5
69244350121/5
512303754250/5
152229485121/5
192137566860/5
Empirical
315204448130/5
6815475040/5
1130424766200/5
1731444852250/5
1820234752160/5
47324051121/5
710344556190/5
1126374458110/5 +PB$4
67345358120/5
1631333558190/5
Apr 20, 2026Winning: 9, 17, 36, 47, 64 + PB 26
Combinatorial
1924355256160/5
1722334451251/5
39243558141/5
1022384163160/5
71523385060/5
1112263958170/5
1316355462200/5
1015233657221/5
1018224559170/5
1223345160100/5
Empirical
923404448191/5
39243558141/5
161837515370/5
1316355462200/5
81139404640/5
332444758101/5
1420485153120/5
33032485180/5
1328344552130/5
1927425156100/5
Apr 18, 2026Winning: 24, 25, 39, 46, 61 + PB 1
Combinatorial
221365557190/5
1924304157221/5
1231384954240/5
1112344857210/5
1822354753160/5
32538424791/5
93033475860/5
1822294160220/5
1625474960241/5
1618345367220/5
Empirical
817203943221/5
712365155160/5
126394352131/5
1934385152170/5
625414849231/5
112728354480/5
923384246221/5
623394762241/5
819224647121/5
628373944141/5
Apr 15, 2026Winning: 13, 21, 27, 43, 45 + PB 26
Combinatorial
111429365840/5
31536415240/5
1520344748220/5
512204351161/5
932465061210/5
1019263857100/5
1617334058120/5
917284564251/5
1724395661190/5
31924385070/5
Empirical
31536415240/5
1617334058120/5
917284564251/5
1724395661190/5
37324445261/5 +PB$4
92734415681/5
14354247200/5
314184552131/5
71029364440/5
223343945171/5
Apr 13, 2026Winning: 38, 43, 59, 63, 64 + PB 15
Combinatorial
813224154240/5
917404663211/5
152829446060/5
415324347131/5
1132355866220/5
1722263554240/5
1217354653200/5
1621254758120/5
1519264150250/5
81926435191/5
Empirical
1221454647150/5 +PB$4
1132355866220/5
37404445150/5 +PB$4
422404755220/5
2334404765260/5
128294052250/5
61430394391/5
31537505240/5
1116224550110/5
1317184654210/5

How it works

Same Random Pool

50,000 random number combinations are generated once per draw. Both models score the exact same candidates — the only difference is how they rank them.

Top 10 Per Model

Each model selects its top 10 highest-scoring picks from the shared pool. These picks are stored before the draw happens — no hindsight.

Real Draw Comparison

After each draw, we count how many white balls and Powerballs each model's picks matched. Prize tiers are calculated using official Powerball rules.

DISCLAIMER: Balliqa is an entertainment product. Every Powerball drawing is an independent random event. Pattern analysis of historical draws does not predict or influence future outcomes. The odds of winning the Powerball jackpot are 1 in 292,201,338.

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