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 Saturday, April 19, 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 Saturday, April 19, 2014)

  • Total number of draws             = 14487
  • Number of non-repeats drawn   = 7242 (49.99%)
  • Number of one-repeating drawn = 6265 (43.25%)
  • Number of dual-doubles drawn   = 448 (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
012328683
01243418
012527874
0126331806
0127341285
012836159
012920106
013441468
013534973
013634296
013739394
013836326
01394281
01454886
01464521
014750114
014830401
014936134
015643849
0157172058
015831434
015920748
016728444
016831115
0169301160
0178361141
017937743
018931609
023447188
023535170
023627372
02373438
023841246
023943218
024534142
024637487
024740306
024824446
024934809
025634109
025742272
025830504
  
NumberNDNDSLA
025942528
026742670
026829397
026939391
0278341227
027930678
028939755
034529199
034637606
03474040
034832178
0349201722
03564055
035736804
035836111
035937268
03673023
036843388
0369331183
037833722
037928448
038952121
045643354
0457372226
045839696
045929380
046726457
046834100
046937295
047827835
047935203
048932335
056730813
056832217
05693127
057827632
0579301928
058935112
0678361265
067926357
068939157
078936769
  
NumberNDNDSLA
12344032
123535302
12362525
123729195
123826150
123930322
124522347
12463365
124739309
124830886
124933189
12563785
125734187
125824480
1259401303
1267301946
126836408
126928192
127827355
127940494
1289411104
134540116
134648143
134743151
13483413
134934359
135623141
1357310
135836317
135939648
136743363
136843127
136937214
137827160
13793868
138929657
145640658
14573282
145838224
145928185
14673210
146846773
  
NumberNDNDSLA
146931349
147832775
147931130
14893856
156738566
156838198
156933602
157831175
157933219
158943695
167822412
167932547
1689401228
178928638
23453690
23463197
23474062
234840205
234939287
2356321005
23572953
235832445
23593430
236732165
23683596
236931626
237833281
237937180
2389312
245629324
245739376
24583859
24593637
246743131
246830461
246934726
247829132
2479391460
248926512
256732300
256832386
256931123
  
NumberNDNDSLA
25783726
257933511
2589321324
267831495
267932533
268925508
278938122
345638289
345734291
345836441
345935145
346734749
346829472
34694248
34784641
3479311232
348931400
356748449
356844258
3569268
35782688
3579281954
35893076
36784079
367945162
368933620
378940316
456731341
456826692
456940631
457839822
457936163
458946166
46783342
467924687
468928171
478942634
56784514
567935625
568946757
578940129
678932261
  

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

NumberNDNDSLA
0012142421
0013152248
00141628
0015171821
001619144
001715538
001819231
001924816
0023171258
002421861
002517542
002626521
002718605
002815525
002913534
003420167
003513475
0036161084
003715659
003820409
0039171092
004512675
004617952
004710500
004821378
0049211042
00561893
0057161064
005825462
005911280
006712751
006815676
006916107
007812540
0079211871
00891929
01121836
011313313
011415152
011518784
0116172661
0117201020
0118987
01192215
012225229
013321616
014420194
015517871
0166143780
017713574
018818945
019923369
0223191750
02242080
022517685
02261812
022720442
022817546
022916362
023320550
024426497
0255112112
0266281012
027722718
0288151139
029924128
033420310
03352992
033611590
033717846
033828570
0339151308
  
NumberNDNDSLA
034416209
035527172
036617713
0377131443
038816155
0399214
04452046
044616859
044716236
04481919
04499655
0455151461
0466221399
047723636
0488101693
049917126
05561843
0557131682
055819805
0559181204
0566181470
0577134523
058821622
059913665
066716278
066817910
0669203972
067717513
068821612
0699121071
077812148
077914328
078821797
079991128
088915414
089920579
1123172193
11241994
112514110
112614190
1127101014
112817344
112926264
1134151179
11351789
1136211437
1137151412
113824426
1139171365
1145102104
114618102
1147152683
1148271354
1149132034
1156131049
1157165
1158151362
1159211346
116721661
1168151851
116918760
117823870
11792152
1189122878
12232033
1224101293
12257161
122619985
122717243
122816471
1229101323
123322265
  
NumberNDNDSLA
12441254
125520370
1266231007
127715456
1288131047
1299221406
133419498
133515642
133620523
13371422
133817254
1339171914
13441516
135522486
1366113857
137722325
1388151807
139919103
1445222808
144613256
144718652
144817746
1449102626
145517708
146617262
147721587
148811330
1499142511
155610923
155722524
155852727
15591673
1566181415
1577161512
15881558
1599212646
1667112761
166810509
166914176
167723399
168819212
1699151053
177817383
17791931
1788221317
17991874
188913331
189972464
223419697
2235201428
223622544
223723396
2238151978
223918505
224518573
2246171735
224723298
224822374
22491263
22562249
225717415
225825706
225925235
226718233
226816266
22692270
227818273
227924564
228925244
233416418
2335212685
233692720
  
NumberNDNDSLA
2337162341
233812252
2339161581
234418118
235518867
2366132666
237720610
238813519
2399171385
2445131522
24462167
244719407
244817311
2449171161
24552017
2466191643
247725301
248815704
2499172123
2556241017
255719297
255892119
2559102564
256613248
2577153631
25882345
259915689
266792844
2668132092
2669171311
267720552
2688131136
2699191108
277823305
277917184
278818120
2799171543
288912249
2899131149
334519660
334616672
3347103600
3348171623
3349261114
335618323
3357142476
335817967
3359191040
336715234
336819124
3369112494
337814319
337917654
3389251478
344516271
3446191592
344720693
344813878
344915771
345526464
3466101733
3477171536
3488231086
3499262345
355612377
355717285
355816640
355923168
356621179
3577182052
358815671
359923299
  
NumberNDNDSLA
366720279
366813356
366910820
367719270
368818239
36992195
3778141457
3779201
37881439
379918260
388922352
389983433
445620617
445771796
4458141045
445922976
446715522
446818531
446921339
44781864
4479191273
448921183
4556121300
455725182
4558151467
455920591
456614416
457716481
45881275
459918520
46671678
4668229
466919269
467723125
468812437
4699171646
477823536
477916963
4788222462
4799221091
488927140
489911469
556721228
556817253
556912668
55781191
55792235
558922422
566721288
566818868
5669141847
567720206
5688151246
569927156
577818561
577918158
5788131202
5799181937
588923423
589917343
6678161411
6679211556
6689161081
677820267
677918901
678823113
67991450
6889182446
68992198
778919138
7889141031
789925703
  

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

NumberNDNDSLA
001112460
00221044
00331034
004411998
005512645
006611904
00778615
008891280
009912786
  
NumberNDNDSLA
1122884
113314417
1144111239
115510105
116684124
11771183
118893
11996750
223311294
  
NumberNDNDSLA
22448682
225513795
226675206
227793188
228811392
229973147
334410635
335512318
33669543
  
NumberNDNDSLA
337793525
3388127276
339971638
445513473
446610823
44771220
448811949
4499112116
556611994
  
NumberNDNDSLA
55774664
55881060
559983991
667710304
668861586
6699121016
778817237
779911691
88995413
  

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

NumberNDNDSLA
000131098
000282532
000363877
000457041
000563487
00069274
00075117
000841931
000992162
011112138
02226385
033342270
044452261
055562454
06664390
077745023
088841716
099971905
  
NumberNDNDSLA
11127931
111353469
111431197
111582772
1116511
111791726
111871175
11197196
122263641
133381267
144457294
155539301
166644228
17775548
18887177
199943713
2223111111
22247707
  
NumberNDNDSLA
2225112816
22260-
222723552
222851602
222910169
233311815
24445529
255551499
266641530
277761188
288893029
29998402
333435998
333585103
333672507
33379104
3338599
333961570
  
NumberNDNDSLA
344451561
3555671
366654437
377756849
388861366
399961272
44450-
44464139
444757528
44486499
444967
4555866
466636106
47774584
488822390
499942346
55567379
555741823
  
NumberNDNDSLA
55583937
5559113744
5666569
577755035
588876904
59999619
666764830
66684753
66697941
6777724
688857685
69998674
777811108
777972797
78884680
7999121046
888956
899951982
  

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

NumberNDNDSLA
00000-
111121024
222224111
333316568
444432795
555516925
66660-
777732960
888822776
99990-

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