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 Thursday, April 24, 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 Thursday, April 24, 2014)

  • Total number of draws             = 15318
  • Number of non-repeats drawn   = 7849 (51.24%)
  • Number of one-repeating drawn = 6500 (42.43%)
  • Number of dual-doubles drawn   = 404 (2.64%)
  • Number of one-tripled drawn     = 555 (3.62%)
  • 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
012343132
012441361
012534114
012638209
012737529
012847354
012939441
013440110
013536438
01363053
013752322
013843145
013937124
014535582
014643300
014744700
01484116
014938282
015633194
01574398
0158331786
01593641
016733958
016837294
0169311279
017836476
017944220
018947463
02344684
0235381100
023630304
02373226
023839434
023933390
0245211106
024633405
024744119
024837778
024939193
025640102
025744128
025838503
  
NumberNDNDSLA
025943543
026744188
026840143
026951217
027846205
027938769
02893531
034527288
034632154
03474439
034828927
03494260
03563880
035746271
0358341021
035945734
036739336
036835325
036941283
037838605
037941613
038934306
04564019
045747234
045841474
045935149
046733487
046847101
04693861
047850402
04794824
048942527
056729364
0568535
05692666
057842555
0579411012
058941167
067843637
0679321853
068929338
07893967
  
NumberNDNDSLA
123437779
12354659
123638148
123744243
123835376
123938141
1245371064
124626159
124733112
124830721
1249261004
1256309
125734190
125843452
125938244
126747768
12683870
126947267
12783334
1279401195
128932103
134544314
134641341
134737179
1348337
13493911
1356271584
135737664
135842155
135929620
13673785
136831116
136941210
137839696
137930309
138929391
1456336
14573489
145836533
145932538
146734291
146833125
  
NumberNDNDSLA
14693786
14784074
14793845
14893330
156732365
1568361341
156934557
15782923
157938920
15893537
167844195
167934691
168935601
17892779
234539561
23464732
234746117
234842492
2349251447
235629276
235737522
235833517
235944109
236738115
2368483
2369341683
237846319
237923290
238926437
245637860
245740464
245851183
245936297
246734966
246841229
246944133
247837563
247926741
248929255
256733640
25683573
25693148
  
NumberNDNDSLA
257830173
257942298
258930626
267840218
2679372
268941625
278930130
3456331295
345746423
345833104
345932983
346734422
34683371
346940454
347837268
34793291
348931275
356728242
356844757
356947126
357833284
357938281
358942211
367843214
367932226
368940774
378941118
45674575
45683549
456943468
457837289
457950233
458943239
467840123
467942100
468940223
4789361066
56783195
567932667
568931202
578932189
678928509
  

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

NumberNDNDSLA
001217359
0013153558
00141643
001515308
001627254
001715164
001814279
0019171096
0023182609
0024251120
0025172209
002616967
0027191316
002817830
0029153127
00342528
003514619
0036221582
0037161496
003817580
003916321
00451652
004619531
00471457
004817839
0049183402
005621586
005710903
0058113399
005924655
00678793
006822630
0069141986
0078231466
0079132368
00892388
0112101436
011319578
0114122403
011516129
01169738
011720593
0118183816
011926886
012218248
0133152064
01449894
01551717
016618709
017717568
01881718
019913502
0223192485
022419176
022523108
02269228
022718140
022818688
0229231815
0233201186
0244131627
025520972
026615372
0277171269
028818891
02991638
0334131713
0335182486
0336982
033720600
0338251116
033917639
  
NumberNDNDSLA
0344141338
03551520
03662263
03771813
0388171119
0399191090
0445161656
0446241387
044716675
044815841
044916262
0455182005
046614908
047718833
04882333
0499131125
05561535
0557192767
055815196
0559181089
0566133223
057720142
058813819
059916644
066724427
066813959
0669191091
06772044
068813928
069912227
0778231000
077915317
078819740
079916887
088919471
0899124260
112315506
112422742
11251576
112625156
112721458
1128132045
112920385
1134191273
113522383
113622775
1137211640
113818677
113921508
1145123750
114615236
114781197
1148132672
1149121147
1156181365
115721177
1158116130
115917216
116724307
116825872
1169121587
1178172260
117917184
1189161141
12232115
122422547
122526299
12261493
122792074
1228162029
122918138
123327573
  
NumberNDNDSLA
124418922
1255172966
1266201086
127718278
1288141846
1299111281
133413869
13351865
133627334
1337181051
133823460
133920157
134418369
135525121
136613172
1377201077
138819504
1399191739
1445151614
1446162258
144717518
1448223680
14491622
145515485
1466181664
147716182
148827237
1499151291
155621579
155723947
155821158
155922412
1566141249
1577122843
1588191282
1599211225
1667151093
166817137
1669241122
167715940
1688211809
1699143574
1778231047
17792281
1788131184
179915160
1889171990
1899221104
223421367
223517914
223618222
2237182432
2238151037
2239201502
224518812
224621693
224725253
224820470
224917443
2256191323
225719373
22582055
225917131
226716581
2268161321
226916287
227824473
2279133560
22891842
233418105
2335825
233619537
  
NumberNDNDSLA
2337111194
233813523
233926810
234415296
235518610
2366131277
2377181408
238820704
23991721
244521387
244619587
244716270
244818863
244919186
2455202528
246625260
247722135
248824113
249916246
2556141458
255712525
255810388
255914884
256617295
257724241
258823256
259915607
266712658
26682672
266924111
267721431
268819782
2699173633
277817950
2779191577
2788171671
2799310
2889151634
2899211220
334521486
334617152
3347201430
334820107
334914560
33562362
335716134
3358171265
3359123144
336714356
3368192062
3369171149
3378101662
3379192382
338919178
344511987
344621303
3447211745
3448162568
344922499
345520293
346616521
347717472
348818794
34991551
3556241288
3557171158
3558191203
355914335
356615171
35771650
358819330
359919627
  
NumberNDNDSLA
366720398
366820347
36692778
367721574
3688231678
369921594
377891862
377915252
3788221553
379921954
388919565
3899201229
445619754
445721272
4458121159
445933840
446723545
4468221961
4469151366
44782012
44791664
4489211376
455616480
455724984
4558151636
455919144
456615395
457719400
4588203242
459923366
4667181539
466824786
466922440
467725834
46882627
469917519
4778151395
477917946
478823676
479917238
4889198
4899112484
5567191518
556819301
5569141154
557822554
55792247
55892092
56672556
566816315
566923204
567717404
568819151
5699171743
577827346
5779115371
578819224
579916672
5889211040
589925311
6678151015
667922505
668917353
6778201156
677923689
678817429
6799201532
6889161896
68991369
7789281097
7889111628
789925212
  

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

NumberNDNDSLA
001111520
00228285
003314491
00448122
00557654
006692462
0077123246
00887797
009982784
  
NumberNDNDSLA
112257463
113313772
114491369
115510265
116653698
11776316
118853346
119976833
2233101333
  
NumberNDNDSLA
22447432
225571404
22667791
2277132530
22889859
229911328
334412258
335572080
3366112880
  
NumberNDNDSLA
337761918
338882051
3399101426
445510449
446611733
44778181
448872946
449913280
556661301
  
NumberNDNDSLA
557781172
558881704
559912974
66778711
668814482
669911136
77889219
779987946
889992468
  

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

NumberNDNDSLA
00015363
000261784
000361381
000434945
000536931
00066213
000755573
000861055
000910231
011141771
022273236
033352566
044447365
05551245
066647974
0777152670
088891244
099922941
  
NumberNDNDSLA
111274906
11136935
111472164
111529495
11165513
111752453
111844729
111971143
12228910
133392558
144471970
1555101166
166641870
17779261
188853502
1999929
222353673
222492339
  
NumberNDNDSLA
222591984
2226514
22274342
222851
222952774
233368401
24449147
255549270
266641336
2777510385
28887374
299972893
333442265
3335102236
333652290
333761811
333811337
333964317
  
NumberNDNDSLA
344461649
3555310390
366645553
377747684
38883162
399964
444581981
44467739
444781593
44488511
444984430
45553455
4666987
477738919
4888142093
49998558
555663094
555761562
  
NumberNDNDSLA
555833099
555972254
566671639
57776743
58886848
599962517
666753359
66683477
666910197
677732786
688881300
699981635
777862914
777938676
788873111
799994887
888981685
899951545
  

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

NumberNDNDSLA
00000-
111124269
22221591
333317829
444421215
55554553
66660-
77770-
88880-
99990-

Massachusetts lottery Games Data and Analysis Menu
The Numbers Game
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