Boxes (any arrangement of the digits) data for Massachusetts Lottery The Numbers Game game. Frequency and last draw of non-repeating, doubles, and triples are listed.

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Massachusetts Lottery The Numbers Game Boxes(numbers in any order) Data

Data updated on Sunday, April 20, 2014

When playing Massachusetts The Numbers Game 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 The Numbers Game 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 MassachusettsThe Numbers Game 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; The Numbers Game 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 The Numbers Game 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 The Numbers Game 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.

MassachusettsThe Numbers Game 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 MassachusettsThe Numbers Game 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 MassachusettsThe Numbers Game 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 MassachusettsThe Numbers Game Boxes (Combos) Analysis for a more elaborate analysis of boxes.

    MassachusettsThe Numbers Gamewinnig numbers by category
    From Saturday, April 10, 1976 to Sunday, April 20, 2014)

  • Total number of draws             = 15309
  • Number of non-repeats drawn   = 7844 (51.24%)
  • Number of one-repeating drawn = 6498 (42.45%)
  • Number of dual-doubles drawn   = 404 (2.64%)
  • Number of one-tripled drawn     = 553 (3.61%)
  • Number of quadruples drawn      = 10 (0.07%)

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

NumberNDNDSLA
012343123
012441352
012534105
012638200
012737520
012847345
012939432
013440101
013536429
01363044
013752313
013843136
013937115
014535573
014643291
014744691
0148417
014938273
015633185
01574389
0158331777
01593632
016733949
016837285
0169311270
017836467
017944211
018947454
02344675
0235381091
023630295
02373217
023839425
023933381
0245211097
024633396
024744110
024837769
024939184
02564093
025744119
025838494
  
NumberNDNDSLA
025943534
026744179
026840134
026951208
027846196
027938760
02893522
034527279
034632145
03474430
034828918
03494251
03563871
035746262
0358341012
035945725
036739327
036835316
036941274
037838596
037941604
038934297
04564010
045747225
045841465
045935140
046733478
04684792
04693852
047850393
04794815
048942518
056729355
056852118
05692657
057842546
0579411003
058941158
067843628
0679321844
068929329
07893958
  
NumberNDNDSLA
123437770
12354650
123638139
123744234
123835367
123938132
1245371055
124626150
124733103
124830712
124926995
1256300
125734181
125843443
125938235
126747759
12683861
126947258
12783325
1279401186
12893294
134544305
134641332
134737170
13483259
1349392
1356271575
135737655
135842146
135929611
13673776
136831107
136941201
137839687
137930300
138929382
14563288
14573480
145836524
145932529
146734282
146833116
  
NumberNDNDSLA
14693777
14784065
14793836
14893321
156732356
1568361332
156934548
15782914
157938911
15893528
167844186
167934682
168935592
17892770
234539552
23464723
234746108
234842483
2349251438
235629267
235737513
235833508
235944100
236738106
23684731
2369341674
237846310
237923281
238926428
245637851
245740455
245851174
245936288
246734957
246841220
246944124
247837554
247926732
248929246
256733631
25683564
25693139
  
NumberNDNDSLA
257830164
257942289
258930617
267840209
2679361036
268941616
278930121
3456331286
345746414
34583395
345932974
346734413
34683362
346940445
347837259
34793282
348931266
356728233
356844748
356947117
357833275
357938272
358942202
367843205
367932217
368940765
378941109
45674566
45683540
456943459
457837280
457950224
458943230
467840114
46794291
468940214
4789361057
56783186
567932658
568931193
578932180
678928500
  

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

NumberNDNDSLA
001217350
0013153549
00141634
001515299
001627245
001715155
001814270
0019171087
0023182600
0024251111
0025172200
002616958
0027191307
002817821
0029153118
00342519
003514610
0036221573
0037161487
003817571
003916312
00451643
004619522
00471448
004817830
0049183393
005621577
005710894
0058113390
005924646
00678784
006822621
0069141977
0078231457
0079132359
00892379
0112101427
011319569
0114122394
011516120
01169729
011720584
0118183807
011926877
012218239
0133152055
01449885
0155178
016618700
017717559
0188179
019913493
0223192476
022419167
02252399
02269219
022718131
022818679
0229231806
0233201177
0244131618
025520963
026615363
0277171260
028818882
02991629
0334131704
0335182477
0336973
033720591
0338251107
033917630
  
NumberNDNDSLA
0344141329
03551511
03662254
0377184
0388171110
0399191081
0445161647
0446241378
044716666
044815832
044916253
0455181996
046614899
047718824
04882324
0499131116
05561526
0557192758
055815187
0559181080
0566133214
057720133
058813810
059916635
066724418
066813950
0669191082
06772035
068813919
069912218
077823991
077915308
078819731
079916878
088919462
0899124251
112315497
112422733
11251567
112625147
112721449
1128132036
112920376
1134191264
113522374
113622766
1137211631
113818668
113921499
1145123741
114615227
114781188
1148132663
1149121138
1156181356
115721168
1158116121
115917207
116724298
116825863
1169121578
1178172251
117917175
1189161132
1223216
122422538
122526290
12261484
122792065
1228162020
122918129
123327564
  
NumberNDNDSLA
124418913
1255172957
1266201077
127718269
1288141837
1299111272
133413860
13351856
133627325
1337181042
133823451
133920148
134418360
135525112
136613163
1377201068
138819495
1399191730
1445151605
1446162249
144717509
1448223671
14491613
145515476
1466181655
147716173
148827228
1499151282
155621570
155723938
155821149
155922403
1566141240
1577122834
1588191273
1599211216
1667151084
166817128
1669241113
167715931
1688211800
1699143565
1778231038
17792272
1788131175
179915151
1889171981
1899221095
223421358
223517905
223618213
2237182423
2238151028
2239201493
224518803
224621684
224725244
224820461
224917434
2256191314
225719364
22582046
225917122
226716572
2268161312
226916278
227824464
2279133551
22891833
23341896
2335816
233619528
  
NumberNDNDSLA
2337111185
233813514
233926801
234415287
235518601
2366131268
2377181399
238820695
23991712
244521378
244619578
244716261
244818854
244919177
2455202519
246625251
247722126
248824104
249916237
2556141449
255712516
255810379
255914875
256617286
257724232
258823247
259915598
266712649
26682663
266924102
267721422
268819773
2699173624
277817941
2779191568
2788171662
279930265
2889151625
2899211211
334521477
334617143
3347201421
33482098
334914551
33562353
335716125
3358171256
3359123135
336714347
3368192053
3369171140
3378101653
3379192373
338919169
344511978
344621294
3447211736
3448162559
344922490
345520284
346616512
347717463
348818785
34991542
3556241279
3557171149
3558191194
355914326
356615162
35771641
358819321
359919618
  
NumberNDNDSLA
366720389
366820338
36692769
367721565
3688231669
369921585
377891853
377915243
3788221544
379921945
388919556
3899201220
445619745
445721263
4458121150
445933831
446723536
4468221952
4469151357
4478203
44791655
4489211367
455616471
455724975
4558151627
455919135
456615386
457719391
4588203233
459923357
4667181530
466824777
466922431
467725825
46882618
469917510
4778151386
477917937
478823667
479917229
48891827
4899112475
5567191509
556819292
5569141145
557822545
55792238
55892083
56672547
566816306
566923195
567717395
568819142
5699171734
577827337
5779115362
578819215
579916663
5889211031
589925302
6678151006
667922496
668917344
6778201147
677923680
678817420
6799201523
6889161887
68991360
7789281088
7889111619
789925203
  

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

NumberNDNDSLA
001111511
00228276
003314482
00448113
00557645
006692453
0077123237
00887788
009982775
  
NumberNDNDSLA
112257454
113313763
114491360
115510256
116653689
11776307
118853337
119976824
2233101324
  
NumberNDNDSLA
22447423
225571395
22667782
2277132521
22889850
229911319
334412249
335572071
3366112871
  
NumberNDNDSLA
337761909
338882042
3399101417
445510440
446611724
44778172
448872937
449913271
556661292
  
NumberNDNDSLA
557781163
558881695
559912965
66778702
668814473
669911127
77889210
779987937
889992459
  

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

NumberNDNDSLA
00015354
000261775
000361372
000434936
000536922
00066204
000755564
000861046
000910222
011141762
022273227
033352557
044447356
05551236
066647965
0777152661
088891235
099922932
  
NumberNDNDSLA
111274897
11136926
111472155
111529486
11165504
111752444
111844720
111971134
12228901
133392549
144471961
1555101157
166641861
17779252
188853493
1999920
222353664
222492330
  
NumberNDNDSLA
222591975
222655
22274333
22284448
222952765
233368392
24449138
255549261
266641327
2777510376
28887365
299972884
333442256
3335102227
333652281
333761802
333811328
333964308
  
NumberNDNDSLA
344461640
3555310381
366645544
377747675
38883153
399955358
444581972
44467730
444781584
44488502
444984421
45553446
4666978
477738910
4888142084
49998549
555663085
555761553
  
NumberNDNDSLA
555833090
555972245
566671630
57776734
58886839
599962508
666753350
66683468
666910188
677732777
688881291
699981626
777862905
777938667
788873102
799994878
888981676
899951536
  

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

NumberNDNDSLA
00000-
111124260
22221582
333317820
444421206
55554544
66660-
77770-
88880-
99990-

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