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 22, 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.

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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 22, 2014)

  • Total number of draws             = 15905
  • Number of non-repeats drawn   = 7991 (50.24%)
  • Number of one-repeating drawn = 6840 (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
012345104
01243662
012535303
012635224
012741734
012838289
012938441
0134347
013528380
01363536
013746471
013836609
0139311783
014537613
0146454
0147431859
014834875
01493420
015648352
015745515
015833667
015937173
016740124
016840631
01693716
01783937
017937188
018936517
023435880
023543484
023633831
023727391
023843640
023928731
02455424
024635969
02474298
02483975
024943176
025623424
02574089
025838679
  
NumberNDNDSLA
02593145
02674711
026849294
0269431253
027835253
0279491254
028928216
034522809
03463866
03475154
034841378
034947118
035637933
0357391319
035842748
03594071
03674094
0368361750
036939387
03784227
037938544
038939562
04563415
045741420
045831797
0459441
046745601
046837948
046936491
04783261
04793679
048940204
056726852
056846287
056938100
057844297
057939148
0589442
067848167
067935120
068949177
078929212
  
NumberNDNDSLA
123440892
123543300
123635122
123744126
123845269
12393363
124539395
124636206
124741186
124840321
12492952
125640445
12574074
125836598
125934728
126726463
12684110
126941236
12784121
127943228
12893251
134531490
134638410
134724673
13483492
134942767
135649856
1357381524
135831930
135948855
136735109
136832627
13694168
137824479
13793523
13893787
145637611
1457411401
14584022
1459371477
146737574
146852377
  
NumberNDNDSLA
14692678
147831650
147938276
148928980
156730190
1568380
156935181
15783755
15795491
158931795
167838587
167936209
168950401
178943439
234540125
234642531
234744367
234831605
234936282
235631727
235729579
2358271102
235942278
23674783
236841784
2369161579
23784053
2379221040
238946408
24564135
2457391333
245834848
24594117
246736370
2468431049
246947116
247847699
247937210
24893582
2567411411
256846513
25693788
  
NumberNDNDSLA
257829706
25793228
258940535
267835669
267944629
268939160
27894040
345643200
345741394
34584150
34593860
34672842
346838575
346946295
347832615
34794685
348943106
356738743
35683849
35694548
357841335
357926523
358937943
367837143
3679371138
368939709
378931265
4567446
45685284
456939419
457835299
457936449
4589411870
4678451012
467932578
468935111
478929267
567832242
56793759
56894658
578928123
67894829
  

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

NumberNDNDSLA
001216450
001315150
00142372
001526110
001619277
001722524
001818105
001919685
002327382
002420745
002520646
002623337
002725334
002824146
0029171176
003417365
003527185
003623747
003718127
003821264
003914138
004516448
004617610
004721979
0048171367
00491997
00561970
0057241345
005824435
005916249
006719107
0068221612
006916453
007820996
007920423
008922320
011218810
011314670
011418838
011524711
011627429
011726165
011821255
011916668
012224692
013315589
014428817
01551844
016616632
017721560
0188201953
019925119
022317131
022424250
0225171542
022619505
022715379
022825259
022923502
023313920
02441857
025513219
026618211
027718315
02881746
0299161371
033417752
033526273
03362295
033724361
033810495
033914201
  
NumberNDNDSLA
034416713
035517867
0366162224
037721142
038818128
0399121753
044517285
0446191255
0447171193
0448171625
044912158
045521281
046619229
047711141
0488174343
049920681
055617581
055718135
0558201252
055923457
056618417
057725247
058824558
0599131285
066715413
0668243
0669181035
0677259
068813355
0699191489
077823754
077913691
0788121541
079918114
088920182
0899201239
112317440
112419458
1125154389
1126171287
1127221756
112826742
112917357
113416551
113519652
1136161141
11371933
113817749
113920759
114518235
114614701
114719333
114819703
1149163430
1156181256
115718421
1158192245
115973130
116714261
11682512
1169241410
117818169
117923213
118920717
122322483
1224161303
122526689
1226261382
122717451
1228191284
122923291
1233123294
  
NumberNDNDSLA
124422178
1255241553
126617733
127723171
1288243186
129925308
133414393
133519639
1336182312
1337131535
133820220
1339168
1344171484
135521659
136614512
1377231133
138813252
139920274
14451986
144622398
144714323
144817113
144927139
145512890
146616824
147714227
148823427
149922343
155625496
155720137
155818412
1559151648
1566143985
157717684
1588154427
1599211544
166718989
166818630
1669141377
1677231148
168811271
169920564
1778261027
177919549
178811375
179919101
188921396
189922338
223419233
223522179
223616256
2237181771
223825603
223924386
224526482
224624583
2247161532
2248241275
2249271136
225626628
225720260
225818117
225915144
226722325
226814240
226916887
2278191125
227918478
228920145
233416460
233519537
2336171185
  
NumberNDNDSLA
233727500
233823642
233911316
2344201694
235523782
2366151519
2377142368
238819350
239911682
244522462
244630553
2447261078
2448171842
244917737
2455241956
246619475
2477184016
248818239
2499231577
2556171828
255724208
255814626
255917489
2566161757
257714397
25881780
25992093
266720654
26681964
26692032
267720928
2688181149
2699232270
2778221050
2779172452
27881830
279918168
288922166
2899201140
3345231297
3346171474
334721690
3348182713
334916202
335612480
3357152045
335815402
335914154
336718705
336822307
336916263
3378182038
3379163133
338925409
3445241247
344617180
344715347
34481419
344918602
345514481
346624147
347717738
3488155
349917262
355618624
355718183
35582167
355921786
3566121171
35771776
358816942
359925341
  
NumberNDNDSLA
366719648
366817134
3669153871
367721251
368820840
369919103
3778172154
3779181561
378831999
379928761
3889182510
3899134094
445620174
445726600
445817503
445915304
4467223231
4468191021
446919192
447813198
447919649
448914876
455625196
455724339
455811270
455920985
45661641
457719223
458822331
4599251113
4667181550
46682039
4669153650
467724156
468819217
46991914
477827313
477926163
4788161124
479920314
4889104535
489916811
5567192281
556820324
5569131958
55782477
557913184
558920565
566720234
5668201142
5669192717
567716121
5688161265
569923288
577814115
577919296
578821789
579920625
588922473
589913696
6678192285
66792213
668924893
677816643
677920112
678813232
679916957
688924290
6899261095
77891856
788916555
7899191321
  

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

NumberNDNDSLA
001173361
002210348
003393356
0044161302
005581010
006618788
00778485
008812888
009961405
  
NumberNDNDSLA
112211509
113393995
114481129
1155132854
116642879
11771326
1188122731
119961922
223314539
  
NumberNDNDSLA
224412556
22558354
226610806
227711974
2288125599
229910298
33448102
335551147
336641668
  
NumberNDNDSLA
3377112088
338810266
3399111938
445511254
446610371
447791290
4488112907
449982013
556613775
  
NumberNDNDSLA
557782893
5588825
55998644
667710468
668813884
669912653
7788111270
779911191
8899847
  

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

NumberNDNDSLA
0001573
00029222
0003534
000471100
0005123694
0006112056
00077533
000855009
000934594
011162492
022273518
033366690
044422234
055581299
06668203
077764039
08886826
09998497
  
NumberNDNDSLA
111253927
111336882
111471706
11157221
111653132
11174243
1118513388
111981374
12226750
133371633
14446919
155562511
166642409
177751329
188874188
19996133
22237108
222475610
  
NumberNDNDSLA
22256309
222671739
222713197
2228113503
222983047
233377294
244473201
255563932
266661326
277792027
2888312471
2999102231
3334102119
33355850
33361696
33377443
333874092
333971423
  
NumberNDNDSLA
344441653
355556811
366663680
377763514
38888557
399981645
44458349
444641277
444771480
444891364
444943889
455514519
466638715
4777610085
48889351
499981877
555651206
55579431
  
NumberNDNDSLA
555892439
55596931
566652097
57771299
588821651
599912896
666763230
66684900
666953437
67777593
688852577
69997358
777834129
777961104
788852698
799963063
888941220
899981529
  

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

NumberNDNDSLA
000063029
111142167
222221177
3333110502
444411298
555516732
666613945
777724467
88880-
9999311909

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