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 Wednesday, April 23, 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 Wednesday, April 23, 2014)

  • Total number of draws             = 14494
  • Number of non-repeats drawn   = 7244 (49.98%)
  • Number of one-repeating drawn = 6269 (43.25%)
  • 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
012328690
01243425
0125286
0126331813
0127341292
012836166
012920113
013441475
013534980
013634303
013739401
013836333
01394288
01454893
01464528
014750121
014830408
014936141
015643856
0157172065
015831441
015920755
016728451
016831122
0169301167
0178361148
017937750
018931616
023447195
023535177
023627379
02373445
023841253
023943225
024534149
024637494
024740313
024824453
024934816
025634116
025742279
025830511
  
NumberNDNDSLA
025942535
026742677
026829404
026939398
0278341234
027930685
028939762
034529206
034637613
03474047
034832185
0349201729
03564062
035736811
035836118
035937275
03673030
036843395
0369331190
037833729
037928455
038952128
045643361
0457372233
045839703
045929387
046726464
046834107
046937302
047827842
047935210
048932342
056730820
056832224
05693134
057827639
0579301935
058935119
0678361272
067926364
068939164
078936776
  
NumberNDNDSLA
12344039
123535309
12362532
123729202
123826157
123930329
124522354
12463372
124739316
124830893
124933196
12563792
125734194
125824487
1259401310
1267301953
126836415
126928199
127827362
127940501
1289411111
134540123
134648150
134743158
13483420
134934366
135623148
1357317
135836324
135939655
136743370
136843134
136937221
137827167
13793875
1389304
145640665
14573289
145838231
145928192
14673217
146846780
  
NumberNDNDSLA
146931356
147832782
147931137
14893863
156738573
156838205
156933609
157831182
157933226
158943702
167822419
167932554
1689401235
178928645
23453697
234631104
23474069
234840212
234939294
2356321012
23572960
235832452
23593437
236732172
236835103
236931633
237833288
237937187
2389319
245629331
245739383
24583866
24593644
246743138
246830468
246934733
247829139
2479391467
248926519
256732307
256832393
256931130
  
NumberNDNDSLA
25783733
257933518
2589321331
267831502
267932540
268925515
278938129
345638296
345734298
345836448
345935152
346734756
346829479
34694255
34784648
3479311239
348931407
356748456
356844265
35692615
35782695
3579281961
35893083
36784086
367945169
368933627
378940323
456731348
456826699
456940638
457839829
457936170
458946173
46783349
467924694
468928178
478942641
56784521
567935632
568946764
578940136
678932268
  

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

NumberNDNDSLA
0012142428
0013163
00141635
0015171828
001619151
001715545
001819238
001924823
0023171265
002421868
002517549
002626528
002718612
002815532
002913541
003420174
003513482
0036161091
003715666
003820416
0039171099
004512682
004617959
004710507
004821385
0049211049
005618100
0057161071
005825469
005911287
006712758
006815683
006916114
007812547
0079211878
00891936
01121843
011313320
011415159
011518791
0116172668
0117201027
0118994
01192222
012225236
013321623
014420201
015517878
0166143787
017713581
018818952
019923376
0223191757
02242087
022517692
02261819
022720449
022817553
022916369
023320557
024426504
0255112119
0266281019
027722725
0288151146
029924135
033420317
03352999
033611597
033717853
033828577
0339151315
  
NumberNDNDSLA
034416216
035527179
036617720
0377131450
038816162
03992111
04452053
044616866
044716243
04481926
04499662
0455151468
0466221406
047723643
0488101700
049917133
05561850
0557131689
055819812
0559181211
0566181477
0577134530
058821629
059913672
066716285
066817917
0669203979
067717520
068821619
0699121078
077812155
077914335
078821804
079991135
088915421
089920586
1123172200
112419101
112514117
112614197
1127101021
112817351
112926271
1134151186
11351796
1136211444
1137151419
113824433
1139171372
1145102111
114618109
1147152690
1148271361
1149132041
1156131056
11571612
1158151369
1159211353
116721668
1168151858
116918767
117823877
11792159
1189122885
12232040
1224101300
12257168
122619992
122717250
122816478
1229101330
123322272
  
NumberNDNDSLA
12441261
125520377
1266231014
127715463
1288131054
1299221413
133419505
133515649
133620530
13371429
133817261
1339171921
13441523
135522493
1366113864
137722332
1388151814
139919110
1445222815
144613263
144718659
144817753
1449102633
145517715
146617269
147721594
148811337
1499142518
155610930
155722531
155852734
15591680
1566181422
1577161519
15881565
1599212653
1667112768
166810516
166914183
167723406
168819219
1699151060
177817390
17791938
1788221324
17991881
188913338
189972471
223419704
2235201435
223622551
223723403
2238151985
223918512
224518580
2246171742
224723305
224822381
22491270
22562256
225717422
225825713
225925242
226718240
226816273
22692277
227818280
227924571
228925251
233416425
2335212692
233692727
  
NumberNDNDSLA
2337162348
233812259
2339161588
234418125
235518874
2366132673
237720617
238813526
2399171392
2445131529
24462174
244719414
244817318
2449171168
24552024
2466191650
247725308
248815711
2499172130
2556241024
255719304
255892126
2559102571
256613255
2577153638
25882352
259915696
266792851
2668132099
2669171318
267720559
2688131143
2699191115
277823312
277917191
278818127
2799171550
288912256
2899131156
334519667
334616679
3347103607
3348171630
3349261121
335618330
3357142483
335817974
3359191047
336715241
3368200
3369112501
337814326
337917661
3389251485
344516278
3446191599
344720700
344813885
344915778
345526471
3466101740
3477171543
3488231093
3499262352
355612384
355717292
355816647
355923175
356621186
3577182059
358815678
359923306
  
NumberNDNDSLA
366720286
366813363
366910827
367719277
368818246
369921102
3778141464
3779208
37881446
379918267
388922359
389983440
445620624
445771803
4458141052
4459235
446715529
446818538
446921346
44781871
4479191280
448921190
4556121307
455725189
4558151474
455920598
456614423
457716488
45881282
459918527
46671685
46682216
466919276
467723132
468812444
4699171653
477823543
477916970
4788222469
4799221098
488927147
489911476
5567221
556817260
556912675
55781198
55792242
558922429
566721295
566818875
5669141854
567720213
5688151253
569927163
577818568
577918165
5788131209
5799181944
588923430
589917350
6678161418
6679211563
6689161088
677820274
677918908
678823120
67991457
6889182453
689921105
778919145
7889141038
789925710
  

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

NumberNDNDSLA
001112467
00221051
00331041
0044111005
005512652
006611911
00778622
008891287
009912793
  
NumberNDNDSLA
1122891
113314424
1144111246
115510112
116684131
11771190
1188910
11996757
223311301
  
NumberNDNDSLA
22448689
225513802
226675213
227793195
228811399
229973154
334410642
335512325
33669550
  
NumberNDNDSLA
337793532
3388127283
339971645
445513480
446610830
44771227
448811956
4499112123
5566111001
  
NumberNDNDSLA
55774671
55881067
559983998
667710311
668861593
6699121023
778817244
779911698
88995420
  

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

NumberNDNDSLA
000131105
000282539
000363884
000457048
000563494
00069281
00075124
000841938
000992169
011112145
02226392
033342277
044452268
055562461
06664397
077745030
088841723
099971912
  
NumberNDNDSLA
11127938
111353476
111431204
111582779
1116518
111791733
111871182
11197203
122263648
133381274
144457301
155539308
166644235
17775555
18887184
199943720
2223111118
22247714
  
NumberNDNDSLA
2225112823
22260-
222723559
222851609
222910176
233311822
24445536
255551506
266641537
277761195
288893036
29998409
333436005
333585110
333672514
3337102
33385106
333961577
  
NumberNDNDSLA
344451568
3555678
366654444
377756856
388861373
399961279
44450-
44464146
444757535
44486506
4449614
4555873
466636113
47774591
488822397
499942353
55567386
555741830
  
NumberNDNDSLA
55583944
5559113751
5666576
577755042
588876911
59999626
666764837
66684760
66697948
6777731
688857692
69998681
777811115
777972804
78884687
7999121053
8889513
899951989
  

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

NumberNDNDSLA
00000-
111121031
222224118
333316575
444432802
555516932
66660-
777732967
888822783
99990-

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