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.

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

 Data updated on Thursday, December 12, 2013 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 Thursday, December 12, 2013)

• Total number of draws             = 15643
• Number of non-repeats drawn   = 7860 (50.25%)
• Number of one-repeating drawn = 6726 (43.00%)
• Number of dual-doubles drawn   = 441 (2.82%)
• Number of one-tripled drawn     = 595 (3.80%)
• 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

 Number ND NDSLA 0123 44 1490 0124 34 1147 0125 35 41 0126 34 121 0127 41 472 0128 38 27 0129 38 179 0134 33 70 0135 28 118 0136 34 372 0137 46 209 0138 36 347 0139 31 1521 0145 37 351 0146 42 758 0147 43 1597 0148 34 613 0149 33 726 0156 48 90 0157 45 253 0158 33 405 0159 36 1683 0167 39 260 0168 40 369 0169 35 595 0178 38 84 0179 36 454 0189 36 255 0234 35 618 0235 43 222 0236 33 569 0237 27 129 0238 43 378 0239 28 469 0245 53 171 0246 35 707 0247 41 192 0248 38 22 0249 42 699 0256 23 162 0257 39 56 0258 38 417

 Number ND NDSLA 0259 30 510 0267 45 396 0268 49 32 0269 43 991 0278 34 13 0279 49 992 0289 26 592 0345 22 547 0346 37 395 0347 50 203 0348 41 116 0349 44 64 0356 37 671 0357 39 1057 0358 42 486 0359 39 596 0367 39 252 0368 36 1488 0369 39 125 0378 40 949 0379 38 282 0389 39 300 0456 33 102 0457 41 158 0458 31 535 0459 43 100 0467 45 339 0468 37 686 0469 36 229 0478 29 424 0479 34 643 0489 39 82 0567 26 590 0568 46 25 0569 37 226 0578 44 35 0579 38 154 0589 43 66 0678 47 278 0679 34 633 0689 48 305 0789 28 237

 Number ND NDSLA 1234 40 630 1235 43 38 1236 34 91 1237 43 478 1238 45 7 1239 30 55 1245 39 133 1246 35 225 1247 39 404 1248 40 59 1249 28 60 1256 40 183 1257 39 143 1258 36 336 1259 34 466 1267 26 201 1268 37 459 1269 40 901 1278 40 172 1279 42 244 1289 31 263 1345 31 228 1346 38 148 1347 24 411 1348 33 166 1349 42 505 1356 49 594 1357 38 1262 1358 31 668 1359 48 593 1367 31 421 1368 32 365 1369 39 1285 1378 24 217 1379 34 536 1389 36 1063 1456 37 349 1457 41 1139 1458 38 617 1459 37 1215 1467 37 312 1468 52 115

 Number ND NDSLA 1469 24 597 1478 31 388 1479 38 14 1489 28 718 1567 29 661 1568 37 314 1569 34 463 1578 36 1136 1579 53 376 1589 31 533 1678 38 325 1679 35 174 1689 50 139 1789 43 177 2345 38 215 2346 42 269 2347 44 105 2348 31 343 2349 36 20 2356 31 465 2357 29 317 2358 27 840 2359 42 16 2367 45 539 2368 41 522 2369 16 1317 2378 39 561 2379 22 778 2389 46 146 2456 39 127 2457 39 1071 2458 34 586 2459 38 964 2467 36 108 2468 43 787 2469 46 462 2478 47 437 2479 36 80 2489 33 410 2567 41 1149 2568 46 251 2569 36 193

 Number ND NDSLA 2578 29 444 2579 31 332 2589 40 273 2678 35 407 2679 44 367 2689 38 249 2789 38 112 3456 42 104 3457 41 132 3458 39 435 3459 35 529 3467 26 106 3468 38 313 3469 46 33 3478 32 353 3479 45 315 3489 42 326 3567 38 481 3568 37 145 3569 44 138 3578 41 73 3579 26 261 3589 37 681 3678 36 496 3679 37 876 3689 39 447 3789 31 3 4567 41 6 4568 51 17 4569 39 157 4578 35 37 4579 36 187 4589 41 1608 4678 45 750 4679 32 316 4689 33 97 4789 29 5 5678 31 199 5679 36 18 5689 45 180 5789 27 962 6789 47 78

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

 Number ND NDSLA 0012 16 188 0013 14 1210 0014 22 256 0015 24 126 0016 19 15 0017 22 262 0018 17 311 0019 19 423 0023 27 120 0024 20 483 0025 20 384 0026 23 75 0027 25 72 0028 23 259 0029 17 914 0034 17 103 0035 26 385 0036 23 485 0037 17 114 0038 21 2 0039 13 1665 0045 16 186 0046 17 348 0047 21 717 0048 17 1105 0049 18 1579 0056 18 3107 0057 24 1083 0058 24 173 0059 15 185 0067 18 258 0068 22 1350 0069 16 191 0078 20 734 0079 20 161 0089 22 58 0112 18 548 0113 14 408 0114 18 576 0115 24 449 0116 27 167 0117 25 580 0118 20 967 0119 16 406 0122 24 430 0133 15 327 0144 28 555 0155 17 1661 0166 16 370 0177 21 298 0188 20 1691 0199 23 2029 0223 16 2446 0224 23 39 0225 17 1280 0226 19 243 0227 15 117 0228 24 43 0229 23 240 0233 13 658 0244 17 1384 0255 12 665 0266 17 329 0277 18 53 0288 16 610 0299 16 1109 0334 17 490 0335 26 11 0336 20 963 0337 24 99 0338 10 233 0339 13 110

 Number ND NDSLA 0344 16 451 0355 17 605 0366 16 1962 0377 20 333 0388 17 31 0399 12 1491 0445 17 23 0446 19 993 0447 17 931 0448 17 1363 0449 11 1896 0455 21 19 0466 18 2454 0477 10 1519 0488 17 4081 0499 20 419 0556 17 319 0557 17 330 0558 20 990 0559 23 195 0566 18 155 0577 24 175 0588 24 296 0599 13 1023 0667 15 151 0668 22 793 0669 18 773 0677 23 607 0688 13 93 0699 19 1227 0778 23 492 0779 13 429 0788 12 1279 0799 17 299 0889 18 620 0899 20 977 1123 17 178 1124 19 196 1125 15 4127 1126 17 1025 1127 22 1494 1128 26 480 1129 17 95 1134 16 289 1135 19 390 1136 16 879 1137 18 702 1138 17 487 1139 20 497 1145 17 1395 1146 14 439 1147 19 71 1148 19 441 1149 16 3168 1156 18 994 1157 18 159 1158 19 1983 1159 7 2868 1167 13 756 1168 23 1338 1169 24 1148 1178 17 715 1179 22 857 1189 20 455 1223 22 221 1224 16 1041 1225 26 427 1226 26 1120 1227 17 189 1228 19 1022 1229 23 29 1233 12 3032

 Number ND NDSLA 1244 21 130 1255 24 1291 1266 17 471 1277 22 98 1288 24 2924 1299 25 46 1334 14 131 1335 19 377 1336 18 2050 1337 13 1273 1338 19 266 1339 15 1246 1344 17 1222 1355 21 397 1366 14 250 1377 23 871 1388 12 1427 1399 20 12 1445 18 655 1446 22 136 1447 14 61 1448 16 600 1449 26 409 1455 12 628 1466 16 562 1477 13 538 1488 23 165 1499 22 81 1556 25 234 1557 19 65 1558 18 150 1559 15 1386 1566 14 3723 1577 17 422 1588 15 4165 1599 21 1282 1667 18 727 1668 18 368 1669 14 1115 1677 23 886 1688 11 9 1699 20 302 1778 26 765 1779 19 287 1788 11 113 1799 18 1308 1889 21 134 1899 22 76 2234 18 1725 2235 21 281 2236 15 1177 2237 18 1509 2238 25 341 2239 24 124 2245 26 220 2246 24 321 2247 16 1270 2248 24 1013 2249 27 874 2256 26 366 2257 19 744 2258 17 44 2259 14 2492 2267 22 63 2268 13 1052 2269 16 625 2278 19 863 2279 18 216 2289 19 646 2334 16 198 2335 19 275 2336 17 923

 Number ND NDSLA 2337 27 238 2338 23 380 2339 11 54 2344 20 1432 2355 23 520 2366 15 1257 2377 14 2106 2388 19 88 2399 11 420 2445 22 200 2446 30 291 2447 26 816 2448 17 1580 2449 17 475 2455 24 1694 2466 19 213 2477 18 3754 2488 17 956 2499 23 1315 2556 17 1566 2557 23 641 2558 14 364 2559 17 227 2566 16 1495 2577 14 135 2588 16 283 2599 19 898 2667 20 392 2668 17 2181 2669 18 730 2677 20 666 2688 18 887 2699 23 2008 2778 22 788 2779 17 2190 2788 17 1706 2799 17 2635 2889 21 163 2899 20 878 3345 23 1035 3346 17 1212 3347 21 428 3348 18 2451 3349 15 1211 3356 12 218 3357 15 1783 3358 15 140 3359 13 908 3367 18 443 3368 22 45 3369 16 1 3378 18 1776 3379 16 2871 3389 25 147 3445 24 985 3446 16 358 3447 15 85 3448 13 677 3449 18 340 3455 14 219 3466 23 830 3477 17 476 3488 14 1810 3499 17 0 3556 18 362 3557 17 745 3558 20 68 3559 21 524 3566 12 909 3577 16 1563 3588 16 680 3599 25 79

 Number ND NDSLA 3667 19 386 3668 16 1021 3669 15 3609 3677 20 635 3688 20 578 3699 18 2335 3778 17 1892 3779 18 1299 3788 31 737 3799 28 499 3889 18 2248 3899 13 3832 4456 19 2092 4457 26 338 4458 17 241 4459 15 42 4467 22 2969 4468 19 759 4469 18 575 4478 12 232 4479 19 387 4489 14 614 4556 24 3973 4557 24 77 4558 11 8 4559 20 723 4566 15 2086 4577 18 653 4588 22 69 4599 25 851 4667 18 1288 4668 19 24 4669 15 3388 4677 22 866 4688 18 916 4699 17 137 4778 27 51 4779 25 67 4788 16 862 4799 20 52 4889 10 4273 4899 16 549 5567 19 2019 5568 20 62 5569 13 1696 5578 23 692 5579 12 122 5589 20 303 5667 19 930 5668 20 880 5669 19 2455 5677 15 236 5688 16 1003 5699 23 26 5778 13 1769 5779 19 34 5788 21 527 5799 20 363 5889 22 211 5899 13 434 6678 19 2023 6679 21 246 6689 24 631 6778 16 381 6779 18 1197 6788 12 3250 6799 16 695 6889 24 28 6899 26 833 7789 17 30 7889 16 293 7899 19 1059

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

 Number ND NDSLA 0011 7 3099 0022 10 86 0033 9 3094 0044 16 1040 0055 8 748 0066 18 526 0077 8 223 0088 12 626 0099 6 1143

 Number ND NDSLA 1122 11 247 1133 9 3733 1144 8 867 1155 13 2592 1166 4 2617 1177 12 3479 1188 12 2469 1199 6 1660 2233 14 277

 Number ND NDSLA 2244 12 294 2255 8 92 2266 10 544 2277 11 712 2288 12 5337 2299 10 36 3344 7 1913 3355 5 885 3366 4 1406

 Number ND NDSLA 3377 11 1826 3388 10 4 3399 11 1676 4455 10 337 4466 10 109 4477 9 1028 4488 11 2645 4499 8 1751 5566 13 513

 Number ND NDSLA 5577 8 2631 5588 7 274 5599 8 382 6677 10 206 6688 13 622 6699 12 391 7788 11 1008 7799 10 1590 8899 7 1074

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

 Number ND NDSLA 0001 4 2909 0002 8 5167 0003 4 4945 0004 7 838 0005 12 3432 0006 11 1794 0007 7 271 0008 5 4747 0009 3 4332 0111 6 2230 0222 7 3256 0333 6 6428 0444 2 1972 0555 8 1037 0666 7 4736 0777 6 3777 0888 6 564 0999 8 235

 Number ND NDSLA 1112 5 3665 1113 3 6620 1114 7 1444 1115 6 1623 1116 5 2870 1117 3 4880 1118 5 13126 1119 8 1112 1222 6 488 1333 7 1371 1444 6 657 1555 6 2249 1666 4 2147 1777 5 1067 1888 7 3926 1999 5 123 2223 6 6105 2224 7 5348

 Number ND NDSLA 2225 6 47 2226 7 1477 2227 12 383 2228 11 3241 2229 8 2785 2333 7 7032 2444 7 2939 2555 6 3670 2666 6 1064 2777 9 1765 2888 3 12209 2999 10 1969 3334 10 1857 3335 5 588 3336 15 1240 3337 7 181 3338 7 3830 3339 7 1161

 Number ND NDSLA 3444 4 1391 3555 5 6549 3666 6 3418 3777 6 3252 3888 8 295 3999 8 1383 4445 8 87 4446 4 1015 4447 7 1218 4448 9 1102 4449 4 3627 4555 14 257 4666 3 8453 4777 6 9823 4888 9 89 4999 8 1615 5556 5 944 5557 9 169

 Number ND NDSLA 5558 9 2177 5559 6 669 5666 5 1835 5777 11 752 5888 2 1389 5999 12 634 6667 6 2968 6668 4 638 6669 5 3175 6777 7 331 6888 5 2315 6999 7 96 7778 3 3867 7779 6 842 7888 5 2436 7999 6 2801 8889 4 958 8999 8 1267

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

 Number ND NDSLA 0000 6 2767 1111 4 1905 2222 2 915 3333 1 10240 4444 1 1036 5555 1 6470 6666 1 3683 7777 2 4205 8888 0 - 9999 3 11647

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