Boxes (any arrangement of the digits) data for Pennsylvania Lottery Big 4 game. Frequency and last draw of non-repeating, doubles, and triples are listed.

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Pennsylvania Lottery Big 4 Boxes(numbers in any order) Data

Data updated on Thursday, April 24, 2014

When playing Pennsylvania Big 4 boxes and combos the order in which the number is drawn doesn't matter. In this case, we have only 705 possible boxes, plus 10 quadrupets; thus a total of 715 box combinations, instead of the 10,000 permutations of straights, will cover all the numbers as box (or combo). It follows that the chance of winning with a Big 4 box or a combo play is obviously higher than the chance of winning with a straight play.

On this page...

The Chance of Winning with a PennsylvaniaBig 4 box (any order).

Since there are 715 possible outcomes, one may be tempted to conclude that the chance is 1 in 715. This is not exactly true since not all boxes have equal chances of winning; Big 4 numbers with non-repeating digits have a better chance of winning than numbers with one digit repeated, two digits repeated, or one digit tripled. For example, the number 1234 has more chance of winning than the numbers 1223, 1122, and 1222. The reason is that 1234 covers 24 possible permutations (1234, 1243, 1423, 4123, etc.), while 1223 covers only twelve (1223, 1232, 1322, 3122, etc.), 1122 six (1122, 2211, 1221, 2112, 1212, 2121), and 1222 four (1222, 2122, 2212, 2221).

Consequently, we shall classify all the Big 4 numbers into five categories, namely, Non-Repeating numbers, One-Repeated numbers, Dual-Doubles numbers (like 1122), One-Tripled numbers (like 1222), and quadruples. Very often, the first four categories are referred to as 24-way, 12-way, 6-way, 4-way boxes (or combos), respectively. Of the 10000 Big 4 numbers, 5040 are non-repeating, 4320 one-repeated, 270 dual-doubles, 360 one-tripled, and 10 quadruples. This means that out of 1000 draws, we should theoretically expect about 504 non-repeating numbers (50.4%), 432 one-repeated (43.2%), 27 dual doubles (2.7%), 36 one-tripled (3.6%), and 1 quadruple (0.1%). Note that one thousand draws is about 2 years and 9 months, if drawings are held once a day; 1 year and 4½ months for bi-daily draws; and about 8 months if drawings are held 4 times a day. The chance of winning with a non-repeat box (or combo), such as the number 1234, is about 1 in 417, while for a one-repeat box it is about 1 in 833; for a dual double number it is 1 in 1667, and for a one-tripled number 1 in 2500. The chance of winning with a quadrupled number is the same as the chance of winning with any other straight number - that is, 1 in 1000.

PennsylvaniaBig 4 Box Analysis Results and Summary by Category

There are 210 distinct non-repeating boxes, 360 one-repeated, 45 dual-doubles, and 90 one-tripled boxes. All the possible PennsylvaniaBig 4 boxes are listed below by category together with the number of times drawn and the number of draws since last appearance (NDSLA). But, prior that we shall list some analysis results to show how the actual data of PennsylvaniaBig 4 results are close to the theoretical expectations cited above.

Although we cannot comment on how close the actual data are to the theoretical data right at this moment (since all figures are updated after every draw), we were amazed to see a perfect harmony between the two at the time of writing of these pages.

See PennsylvaniaBig 4 Boxes (Combos) Analysis for a more elaborate analysis of boxes.

    PennsylvaniaBig 4winnig numbers by category
    From Saturday, November 22, 1980 to Thursday, April 24, 2014)

  • Total number of draws             = 14497
  • Number of non-repeats drawn   = 7247 (49.99%)
  • Number of one-repeating drawn = 6269 (43.24%)
  • Number of dual-doubles drawn   = 448 (3.09%)
  • Number of one-tripled drawn     = 519 (3.58%)
  • Number of quadruples drawn      = 14 (0.10%)

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Non-repeating Numbers (Total 210)ND = Number of times Drawn, NDSLA = Number of Draws Since Last Appearance

NumberNDNDSLA
012328693
01243428
0125289
0126331816
0127341295
012836169
012920116
013441478
013534983
013634306
013739404
013836336
01394291
01454896
01464531
014750124
014830411
014936144
015643859
0157172068
015831444
015920758
016728454
016831125
0169301170
0178361151
017937753
018931619
023447198
023535180
023627382
02373448
023841256
023943228
024534152
024637497
024740316
0248250
024934819
025634119
025742282
025830514
  
NumberNDNDSLA
025942538
026742680
026829407
026939401
0278341237
027930688
028939765
034529209
034637616
03474050
034832188
0349201732
03564065
035736814
035836121
035937278
03673033
036843398
0369331193
037833732
037928458
038952131
045643364
0457372236
045839706
045929390
046726467
046834110
046937305
047827845
047935213
048932345
056730823
056832227
05693137
057827642
0579301938
058935122
0678361275
067926367
068939167
078936779
  
NumberNDNDSLA
12344042
123535312
12362535
123729205
123826160
123930332
124522357
12463375
124739319
124830896
124933199
12563795
125734197
125824490
1259401313
1267301956
126836418
126928202
127827365
127940504
1289411114
134540126
134648153
134743161
13483423
134934369
135623151
13573110
135836327
135939658
136743373
136843137
136937224
137827170
13793878
1389307
145640668
14573292
145838234
145928195
14673220
146846783
  
NumberNDNDSLA
146931359
147832785
147931140
14893866
156738576
156838208
156933612
157831185
157933229
158943705
167822422
167932557
1689401238
178928648
234536100
234631107
23474072
234840215
234939297
2356321015
23572963
235832455
23593440
236732175
236835106
236931636
237833291
237937190
23893112
245629334
2457401
24583869
24593647
246743141
246830471
246934736
247829142
2479391470
248926522
256732310
256832396
256931133
  
NumberNDNDSLA
25783736
257933521
2589321334
267831505
267932543
268925518
278938132
345638299
345734301
345836451
345935155
346734759
346829482
34694258
34784651
3479311242
348931410
356748459
356844268
35692618
35782698
3579281964
35893086
36784089
367945172
368933630
378940326
456731351
456826702
456940641
457839832
457936173
458946176
46783352
467924697
468928181
478942644
56784524
567935635
5689472
578940139
678932271
  

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One-Repeated (Total 360)ND = Number of times Drawn, NDSLA = Number of Draws Since Last Appearance

NumberNDNDSLA
0012142431
0013166
00141638
0015171831
001619154
001715548
001819241
001924826
0023171268
002421871
002517552
002626531
002718615
002815535
002913544
003420177
003513485
0036161094
003715669
003820419
0039171102
004512685
004617962
004710510
004821388
0049211052
005618103
0057161074
005825472
005911290
006712761
006815686
006916117
007812550
0079211881
00891939
01121846
011313323
011415162
011518794
0116172671
0117201030
0118997
01192225
012225239
013321626
014420204
015517881
0166143790
017713584
018818955
019923379
0223191760
02242090
022517695
02261822
022720452
022817556
022916372
023320560
024426507
0255112122
0266281022
027722728
0288151149
029924138
033420320
033529102
033611600
033717856
033828580
0339151318
  
NumberNDNDSLA
034416219
035527182
036617723
0377131453
038816165
03992114
04452056
044616869
044716246
04481929
04499665
0455151471
0466221409
047723646
0488101703
049917136
05561853
0557131692
055819815
0559181214
0566181480
0577134533
058821632
059913675
066716288
066817920
0669203982
067717523
068821622
0699121081
077812158
077914338
078821807
079991138
088915424
089920589
1123172203
112419104
112514120
112614200
1127101024
112817354
112926274
1134151189
11351799
1136211447
1137151422
113824436
1139171375
1145102114
114618112
1147152693
1148271364
1149132044
1156131059
11571615
1158151372
1159211356
116721671
1168151861
116918770
117823880
11792162
1189122888
12232043
1224101303
12257171
122619995
122717253
122816481
1229101333
123322275
  
NumberNDNDSLA
12441264
125520380
1266231017
127715466
1288131057
1299221416
133419508
133515652
133620533
13371432
133817264
1339171924
13441526
135522496
1366113867
137722335
1388151817
139919113
1445222818
144613266
144718662
144817756
1449102636
145517718
146617272
147721597
148811340
1499142521
155610933
155722534
155852737
15591683
1566181425
1577161522
15881568
1599212656
1667112771
166810519
166914186
167723409
168819222
1699151063
177817393
17791941
1788221327
17991884
188913341
189972474
223419707
2235201438
223622554
223723406
2238151988
223918515
224518583
2246171745
224723308
224822384
22491273
22562259
225717425
225825716
225925245
226718243
226816276
22692280
227818283
227924574
228925254
233416428
2335212695
233692730
  
NumberNDNDSLA
2337162351
233812262
2339161591
234418128
235518877
2366132676
237720620
238813529
2399171395
2445131532
24462177
244719417
244817321
2449171171
24552027
2466191653
247725311
248815714
2499172133
2556241027
255719307
255892129
2559102574
256613258
2577153641
25882355
259915699
266792854
2668132102
2669171321
267720562
2688131146
2699191118
277823315
277917194
278818130
2799171553
288912259
2899131159
334519670
334616682
3347103610
3348171633
3349261124
335618333
3357142486
335817977
3359191050
336715244
3368203
3369112504
337814329
337917664
3389251488
344516281
3446191602
344720703
344813888
344915781
345526474
3466101743
3477171546
3488231096
3499262355
355612387
355717295
355816650
355923178
356621189
3577182062
358815681
359923309
  
NumberNDNDSLA
366720289
366813366
366910830
367719280
368818249
369921105
3778141467
37792011
37881449
379918270
388922362
389983443
445620627
445771806
4458141055
4459238
446715532
446818541
446921349
44781874
4479191283
448921193
4556121310
455725192
4558151477
455920601
456614426
457716491
45881285
459918530
46671688
46682219
466919279
467723135
468812447
4699171656
477823546
477916973
4788222472
4799221101
488927150
489911479
5567224
556817263
556912678
557811101
55792245
558922432
566721298
566818878
5669141857
567720216
5688151256
569927166
577818571
577918168
5788131212
5799181947
588923433
589917353
6678161421
6679211566
6689161091
677820277
677918911
678823123
67991460
6889182456
689921108
778919148
7889141041
789925713
  

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Dual-Doubles (Total 45)ND = Number of times Drawn, NDSLA = Number of Draws Since Last Appearance

NumberNDNDSLA
001112470
00221054
00331044
0044111008
005512655
006611914
00778625
008891290
009912796
  
NumberNDNDSLA
1122894
113314427
1144111249
115510115
116684134
11771193
1188913
11996760
223311304
  
NumberNDNDSLA
22448692
225513805
226675216
227793198
228811402
229973157
334410645
335512328
33669553
  
NumberNDNDSLA
337793535
3388127286
339971648
445513483
446610833
44771230
448811959
4499112126
5566111004
  
NumberNDNDSLA
55774674
55881070
559984001
667710314
668861596
6699121026
778817247
779911701
88995423
  

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One-Tripled (Total 90)ND = Number of times Drawn, NDSLA = Number of Draws Since Last Appearance

NumberNDNDSLA
000131108
000282542
000363887
000457051
000563497
00069284
00075127
000841941
000992172
011112148
02226395
033342280
044452271
055562464
06664400
077745033
088841726
099971915
  
NumberNDNDSLA
11127941
111353479
111431207
111582782
1116521
111791736
111871185
11197206
122263651
133381277
144457304
155539311
166644238
17775558
18887187
199943723
2223111121
22247717
  
NumberNDNDSLA
2225112826
22260-
222723562
222851612
222910179
233311825
24445539
255551509
266641540
277761198
288893039
29998412
333436008
333585113
333672517
3337105
33385109
333961580
  
NumberNDNDSLA
344451571
3555681
366654447
377756859
388861376
399961282
44450-
44464149
444757538
44486509
4449617
4555876
466636116
47774594
488822400
499942356
55567389
555741833
  
NumberNDNDSLA
55583947
5559113754
5666579
577755045
588876914
59999629
666764840
66684763
66697951
6777734
688857695
69998684
777811118
777972807
78884690
7999121056
8889516
899951992
  

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Quadruples (Total 10)ND = Number of times Drawn, NDSLA = Number of Draws Since Last Appearance

NumberNDNDSLA
00000-
111121034
222224121
333316578
444432805
555516935
66660-
777732970
888822786
99990-

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