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 17, 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 17, 2014)

  • Total number of draws             = 14483
  • Number of non-repeats drawn   = 7240 (49.99%)
  • Number of one-repeating drawn = 6264 (43.25%)
  • Number of dual-doubles drawn   = 447 (3.09%)
  • Number of one-tripled drawn     = 518 (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
012328679
01243414
012527870
0126331802
0127341281
012836155
012920102
013441464
013534969
013634292
013739390
013836322
01394277
01454882
01464517
014750110
014830397
014936130
015643845
0157172054
015831430
015920744
016728440
016831111
0169301156
0178361137
017937739
018931605
023447184
023535166
023627368
02373434
023841242
023943214
024534138
024637483
024740302
024824442
024934805
025634105
025742268
025830500
  
NumberNDNDSLA
025942524
026742666
026829393
026939387
0278341223
027930674
028939751
034529195
034637602
03474036
034832174
0349201718
03564051
035736800
035836107
035937264
03673019
036843384
0369331179
037833718
037928444
038952117
045643350
0457372222
045839692
045929376
046726453
04683496
046937291
047827831
047935199
048932331
056730809
056832213
05693123
057827628
0579301924
058935108
0678361261
067926353
068939153
078936765
  
NumberNDNDSLA
12344028
123535298
12362521
123729191
123826146
123930318
124522343
12463361
124739305
124830882
124933185
12563781
125734183
125824476
1259401299
1267301942
126836404
126928188
127827351
127940490
1289411100
134540112
134648139
134743147
1348349
134934355
135623137
135730511
135836313
135939644
136743359
136843123
136937210
137827156
13793864
138929653
145640654
14573278
145838220
145928181
1467326
146846769
  
NumberNDNDSLA
146931345
147832771
147931126
14893852
156738562
156838194
156933598
157831171
157933215
158943691
167822408
167932543
1689401224
178928634
23453686
23463193
23474058
234840201
234939283
2356321001
23572949
235832441
23593426
236732161
23683592
236931622
237833277
237937176
238930850
245629320
245739372
24583855
24593633
246743127
246830457
246934722
247829128
2479391456
248926508
256732296
256832382
256931119
  
NumberNDNDSLA
25783722
257933507
2589321320
267831491
267932529
268925504
278938118
345638285
345734287
345836437
345935141
346734745
346829468
34694244
34784637
3479311228
348931396
356748445
356844254
3569264
35782684
3579281950
35893072
36784075
367945158
368933616
378940312
456731337
456826688
456940627
457839818
457936159
458946162
46783338
467924683
468928167
478942630
56784510
567935621
568946753
578940125
678932257
  

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

NumberNDNDSLA
0012142417
0013152244
00141624
0015171817
001619140
001715534
001819227
001924812
0023171254
002421857
002517538
002626517
002718601
002815521
002913530
003420163
003513471
0036161080
003715655
003820405
0039171088
004512671
004617948
004710496
004821374
0049211038
00561889
0057161060
005825458
005911276
006712747
006815672
006916103
007812536
0079211867
00891925
01121832
011313309
011415148
011518780
0116172657
0117201016
0118983
01192211
012225225
013321612
014420190
015517867
0166143776
017713570
018818941
019923365
0223191746
02242076
022517681
0226188
022720438
022817542
022916358
023320546
024426493
0255112108
0266281008
027722714
0288151135
029924124
033420306
03352988
033611586
033717842
033828566
0339151304
  
NumberNDNDSLA
034416205
035527168
036617709
0377131439
038816151
0399210
04452042
044616855
044716232
04481915
04499651
0455151457
0466221395
047723632
0488101689
049917122
05561839
0557131678
055819801
0559181200
0566181466
0577134519
058821618
059913661
066716274
066817906
0669203968
067717509
068821608
0699121067
077812144
077914324
078821793
079991124
088915410
089920575
1123172189
11241990
112514106
112614186
1127101010
112817340
112926260
1134151175
11351785
1136211433
1137151408
113824422
1139171361
1145102100
11461898
1147152679
1148271350
1149132030
1156131045
1157161
1158151358
1159211342
116721657
1168151847
116918756
117823866
11792148
1189122874
12232029
1224101289
12257157
122619981
122717239
122816467
1229101319
123322261
  
NumberNDNDSLA
12441250
125520366
1266231003
127715452
1288131043
1299221402
133419494
133515638
133620519
13371418
133817250
1339171910
13441512
135522482
1366113853
137722321
1388151803
13991999
1445222804
144613252
144718648
144817742
1449102622
145517704
146617258
147721583
148811326
1499142507
155610919
155722520
155852723
15591669
1566181411
1577161508
15881554
1599212642
1667112757
166810505
166914172
167723395
168819208
1699151049
177817379
17791927
1788221313
17991870
188913327
189972460
223419693
2235201424
223622540
223723392
2238151974
223918501
224518569
2246171731
224723294
224822370
22491259
22562245
225717411
225825702
225925231
226718229
226816262
22692266
227818269
227924560
228925240
233416414
2335212681
233692716
  
NumberNDNDSLA
2337162337
233812248
2339161577
234418114
235518863
2366132662
237720606
238813515
2399171381
2445131518
24462163
244719403
244817307
2449171157
24552013
2466191639
247725297
248815700
2499172119
2556241013
255719293
255892115
2559102560
256613244
2577153627
25882341
259915685
266792840
2668132088
2669171307
267720548
2688131132
2699191104
277823301
277917180
278818116
2799171539
288912245
2899131145
334519656
334616668
3347103596
3348171619
3349261110
335618319
3357142472
335817963
3359191036
336715230
336819120
3369112490
337814315
337917650
3389251474
344516267
3446191588
344720689
344813874
344915767
345526460
3466101729
3477171532
3488231082
3499262341
355612373
355717281
355816636
355923164
356621175
3577182048
358815667
359923295
  
NumberNDNDSLA
366720275
366813352
366910816
367719266
368818235
36992191
3778141453
377919219
37881435
379918256
388922348
389983429
445620613
445771792
4458141041
445922972
446715518
446818527
446921335
44781860
4479191269
448921179
4556121296
455725178
4558151463
455920587
456614412
457716477
45881271
459918516
46671674
4668225
466919265
467723121
468812433
4699171642
477823532
477916959
4788222458
4799221087
488927136
489911465
556721224
556817249
556912664
55781187
55792231
558922418
566721284
566818864
5669141843
567720202
5688151242
569927152
577818557
577918154
5788131198
5799181933
588923419
589917339
6678161407
6679211552
6689161077
677820263
677918897
678823109
67991446
6889182442
68992194
778919134
7889141027
789925699
  

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

NumberNDNDSLA
001112456
00221040
00331030
004411994
005512641
006611900
00778611
008891276
009912782
  
NumberNDNDSLA
1122880
113314413
1144111235
115510101
116684120
11771179
11888316
11996746
223311290
  
NumberNDNDSLA
22448678
225513791
226675202
227793184
228811388
229973143
334410631
335512314
33669539
  
NumberNDNDSLA
337793521
3388127272
339971634
445513469
446610819
44771216
448811945
4499112112
556611990
  
NumberNDNDSLA
55774660
55881056
559983987
667710300
668861582
6699121012
778817233
779911687
88995409
  

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

NumberNDNDSLA
000131094
000282528
000363873
000457037
000563483
00069270
00075113
000841927
000992158
011112134
02226381
033342266
044452257
055562450
06664386
077745019
088841712
099971901
  
NumberNDNDSLA
11127927
111353465
111431193
111582768
111657
111791722
111871171
11197192
122263637
133381263
144457290
155539297
166644224
17775544
18887173
199943709
2223111107
22247703
  
NumberNDNDSLA
2225112812
22260-
222723548
222851598
222910165
233311811
24445525
255551495
266641526
277761184
288893025
29998398
333435994
333585099
333672503
33379100
3338595
333961566
  
NumberNDNDSLA
344451557
3555667
366654433
377756845
388861362
399961268
44450-
44464135
444757524
44486495
444963
4555862
466636102
47774580
488822386
499942342
55567375
555741819
  
NumberNDNDSLA
55583933
5559113740
5666565
577755031
588876900
59999615
666764826
66684749
66697937
6777720
688857681
69998670
777811104
777972793
78884676
7999121042
888952
899951978
  

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

NumberNDNDSLA
00000-
111121020
222224107
333316564
444432791
555516921
66660-
777732956
888822772
99990-

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