Boxes (any arrangement of the digits) data for New York Lottery Win 4 game. Frequency and last draw of non-repeating, doubles, and triples are listed.

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New York Lottery Win 4 Boxes(numbers in any order) Data

Data updated on Tuesday, April 15, 2014

When playing New York Win 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 Win 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 New YorkWin 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; Win 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 Win 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 Win 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.

New YorkWin 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 New YorkWin 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 New YorkWin 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 New YorkWin 4 Boxes (Combos) Analysis for a more elaborate analysis of boxes.

    New YorkWin 4winnig numbers by category
    From Tuesday, July 21, 1981 to Tuesday, April 15, 2014)

  • Total number of draws             = 15891
  • Number of non-repeats drawn   = 7983 (50.24%)
  • Number of one-repeating drawn = 6834 (43.01%)
  • Number of dual-doubles drawn   = 447 (2.81%)
  • Number of one-tripled drawn     = 606 (3.81%)
  • Number of quadruples drawn      = 21 (0.13%)

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

NumberNDNDSLA
01234590
01243648
012535289
012635210
012741720
012838275
012938427
013433318
013528366
01363522
013746457
013836595
0139311769
014537599
014644180
0147431845
014834861
0149346
015648338
015745501
015833653
015937159
016740110
016840617
0169372
01783923
017937174
018936503
023435866
023543470
023633817
023727377
023843626
023928717
02455410
024635955
02474284
02483961
024943162
025623410
02574075
025838665
  
NumberNDNDSLA
02593131
02674617
026849280
0269431239
027835239
0279491240
028928202
034522795
03463852
03475140
034841364
034947104
035637919
0357391305
035842734
03594057
03674080
0368361736
036939373
03784213
037938530
038939548
0456341
045741406
045831783
045943348
046745587
046837934
046936477
04783247
04793665
048940190
056726838
056846273
05693886
057844283
057939134
058943314
067848153
067935106
068949163
078929198
  
NumberNDNDSLA
123440878
123543286
123635108
123744112
123845255
12393349
124539381
124636192
124741172
124840307
12492938
125640431
12574060
125836584
125934714
126726449
126840150
126941222
1278417
127943214
12893237
134531476
134638396
134724659
13483478
134942753
135649842
1357381510
135831916
135948841
13673595
136832613
13694154
137824465
1379359
13893773
145637597
1457411387
1458408
1459371463
146737560
146852363
  
NumberNDNDSLA
14692664
147831636
147938262
148928966
156730176
156837562
156935167
15783741
15795477
158931781
167838573
167936195
168950387
178943425
234540111
234642517
234744353
234831591
234936268
235631713
235729565
2358271088
235942264
23674769
236841770
2369161565
23784039
2379221026
238946394
24564121
2457391319
245834834
2459413
246736356
2468431035
246947102
247847685
247937196
24893568
2567411397
256846499
25693774
  
NumberNDNDSLA
257829692
25793214
258940521
267835655
267944615
268939146
27894026
345643186
345741380
34584136
34593846
34672828
346838561
346946281
347832601
34794671
34894392
356738729
35683835
35694534
357841321
357926509
358937929
367837129
3679371124
368939695
378931251
4567434
45685270
456939405
457835285
457936435
4589411856
467845998
467932564
46893597
478929253
567832228
56793745
56894644
578928109
67894815
  

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

NumberNDNDSLA
001216436
001315136
00142358
00152696
001619263
001722510
00181891
001919671
002327368
002420731
002520632
002623323
002725320
002824132
0029171162
003417351
003527171
003623733
003718113
003821250
003914124
004516434
004617596
004721965
0048171353
00491983
00561956
0057241331
005824421
005916235
00671993
0068221598
006916439
007820982
007920409
008922306
011218796
011314656
011418824
011524697
011627415
011726151
011821241
011916654
012224678
013315575
014428803
01551830
016616618
017721546
0188201939
019925105
022317117
022424236
0225171528
022619491
022715365
022825245
022923488
023313906
02441843
025513205
026618197
027718301
02881732
0299161357
033417738
033526259
03362281
033724347
033810481
033914187
  
NumberNDNDSLA
034416699
035517853
0366162210
037721128
038818114
0399121739
044517271
0446191241
0447171179
0448171611
044912144
045521267
046619215
047711127
0488174329
049920667
055617567
055718121
0558201238
055923443
056618403
057725233
058824544
0599131271
066715399
06682367
0669181021
06772424
068813341
0699191475
077823740
077913677
0788121527
079918100
088920168
0899201225
112317426
112419444
1125154375
1126171273
1127221742
112826728
112917343
113416537
113519638
1136161127
11371919
113817735
113920745
114518221
114614687
114719319
114819689
1149163416
1156181242
115718407
1158192231
115973116
116714247
116824147
1169241396
117818155
117923199
118920703
122322469
1224161289
122526675
1226261368
122717437
1228191270
122923277
1233123280
  
NumberNDNDSLA
124422164
1255241539
126617719
127723157
1288243172
129925294
133414379
133519625
1336182298
1337131521
133820206
1339151494
1344171470
135521645
136614498
1377231119
138813238
139920260
14451972
144622384
144714309
14481799
144927125
145512876
146616810
147714213
148823413
149922329
155625482
155720123
155818398
1559151634
1566143971
157717670
1588154413
1599211530
166718975
166818616
1669141363
1677231134
168811257
169920550
1778261013
177919535
178811361
17991987
188921382
189922324
223419219
223522165
223616242
2237181757
223825589
223924372
224526468
224624569
2247161518
2248241261
2249271122
225626614
225720246
225818103
225915130
226722311
226814226
226916873
2278191111
227918464
228920131
233416446
233519523
2336171171
  
NumberNDNDSLA
233727486
233823628
233911302
2344201680
235523768
2366151505
2377142354
238819336
239911668
244522448
244630539
2447261064
2448171828
244917723
2455241942
246619461
2477184002
248818225
2499231563
2556171814
255724194
255814612
255917475
2566161743
257714383
25881766
25992079
266720640
26681950
26692018
267720914
2688181135
2699232256
2778221036
2779172438
27881816
279918154
288922152
2899201126
3345231283
3346171460
334721676
3348182699
334916188
335612466
3357152031
335815388
335914140
336718691
336822293
336916249
3378182024
3379163119
338925395
3445241233
344617166
344715333
3448145
344918588
345514467
346624133
347717724
3488142058
349917248
355618610
355718169
35582153
355921772
3566121157
35771762
358816928
359925327
  
NumberNDNDSLA
366719634
366817120
3669153857
367721237
368820826
36991989
3778172140
3779181547
378831985
379928747
3889182496
3899134080
445620160
445726586
445817489
445915290
4467223217
4468191007
446919178
447813184
447919635
448914862
455625182
455724325
455811256
455920971
45661627
457719209
458822317
4599251099
4667181536
46682025
4669153636
467724142
468819203
4699190
477827299
477926149
4788161110
479920300
4889104521
489916797
5567192267
556820310
5569131944
55782463
557913170
558920551
566720220
5668201128
5669192703
567716107
5688161251
569923274
577814101
577919282
578821775
579920611
588922459
589913682
6678192271
667921494
668924879
677816629
67792098
678813218
679916943
688924276
6899261081
77891842
788916541
7899191307
  

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

NumberNDNDSLA
001173347
002210334
003393342
0044161288
00558996
006618774
00778471
008812874
009961391
  
NumberNDNDSLA
112211495
113393981
114481115
1155132840
116642865
11771312
1188122717
119961908
223314525
  
NumberNDNDSLA
224412542
22558340
226610792
227711960
2288125585
229910284
3344888
335551133
336641654
  
NumberNDNDSLA
3377112074
338810252
3399111924
445511240
446610357
447791276
4488112893
449981999
556613761
  
NumberNDNDSLA
557782879
5588811
55998630
667710454
668813870
669912639
7788111256
779911177
8899833
  

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

NumberNDNDSLA
0001559
00029208
0003520
000471086
0005123680
0006112042
00077519
000854995
000934580
011162478
022273504
033366676
044422220
055581285
06668189
077764025
08886812
09998483
  
NumberNDNDSLA
111253913
111336868
111471692
11157207
111653118
11174229
1118513374
111981360
12226736
133371619
14446905
155562497
166642395
177751315
188874174
19996119
2223794
222475596
  
NumberNDNDSLA
22256295
222671725
222713183
2228113489
222983033
233377280
244473187
255563918
266661312
277792013
2888312457
2999102217
3334102105
33355836
33361682
33377429
333874078
333971409
  
NumberNDNDSLA
344441639
355556797
366663666
377763500
38888543
399981631
44458335
444641263
444771466
444891350
444943875
455514505
466638701
4777610071
48889337
499981863
555651192
55579417
  
NumberNDNDSLA
555892425
55596917
566652083
57771285
588821637
599912882
666763216
66684886
666953423
67777579
688852563
69997344
777834115
777961090
788852684
799963049
888941206
899981515
  

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

NumberNDNDSLA
000063015
111142153
222221163
3333110488
444411284
555516718
666613931
777724453
88880-
9999311895

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