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 Saturday, May 25, 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 Saturday, May 25, 2013)

• Total number of draws             = 15240
• Number of non-repeats drawn   = 7674 (50.35%)
• Number of one-repeating drawn = 6542 (42.93%)
• Number of dual-doubles drawn   = 424 (2.78%)
• Number of one-tripled drawn     = 579 (3.80%)
• Number of quadruples drawn      = 21 (0.14%)

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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 1087 0124 34 744 0125 31 641 0126 33 343 0127 41 69 0128 36 131 0129 37 160 0134 30 261 0135 27 533 0136 33 650 0137 45 220 0138 35 120 0139 31 1118 0145 36 280 0146 42 355 0147 43 1194 0148 34 210 0149 33 323 0156 47 489 0157 44 433 0158 33 2 0159 36 1280 0167 38 99 0168 39 644 0169 35 192 0178 37 308 0179 36 51 0189 34 165 0234 35 215 0235 42 293 0236 33 166 0237 25 655 0238 42 224 0239 28 66 0245 52 23 0246 35 304 0247 38 842 0248 36 55 0249 42 296 0256 22 773 0257 37 336 0258 38 14

 Number ND NDSLA 0259 30 107 0267 44 234 0268 44 37 0269 43 588 0278 32 426 0279 49 589 0289 26 189 0345 22 144 0346 36 365 0347 48 447 0348 40 493 0349 42 350 0356 37 268 0357 39 654 0358 42 83 0359 39 193 0367 37 200 0368 36 1085 0369 35 213 0378 40 546 0379 37 458 0389 38 226 0456 32 1204 0457 40 1434 0458 31 132 0459 41 450 0467 44 284 0468 37 283 0469 35 1537 0478 29 21 0479 34 240 0489 37 335 0567 26 187 0568 44 0 0569 35 404 0578 42 90 0579 36 714 0589 42 776 0678 45 402 0679 34 230 0689 47 184 0789 26 1129

 Number ND NDSLA 1234 40 227 1235 40 65 1236 33 321 1237 43 75 1238 44 22 1239 29 2421 1245 38 523 1246 34 1411 1247 39 1 1248 39 503 1249 27 71 1256 38 1077 1257 37 13 1258 35 352 1259 34 63 1267 25 116 1268 37 56 1269 40 498 1278 38 359 1279 40 643 1289 30 603 1345 30 325 1346 37 499 1347 24 8 1348 31 1195 1349 42 102 1356 49 191 1357 38 859 1358 31 265 1359 48 190 1367 31 18 1368 31 688 1369 39 882 1378 23 432 1379 34 133 1389 36 660 1456 35 208 1457 41 736 1458 38 214 1459 37 812 1467 36 422 1468 51 423

 Number ND NDSLA 1469 24 194 1478 30 30 1479 36 928 1489 28 315 1567 29 258 1568 36 367 1569 34 60 1578 36 733 1579 52 287 1589 31 130 1678 37 609 1679 34 218 1689 48 351 1789 41 9 2345 36 534 2346 40 318 2347 43 103 2348 30 693 2349 35 1797 2356 31 62 2357 28 95 2358 27 437 2359 41 54 2367 45 136 2368 41 119 2369 16 914 2378 39 158 2379 22 375 2389 45 329 2456 38 86 2457 39 668 2458 34 183 2459 38 561 2467 35 150 2468 43 384 2469 46 59 2478 47 34 2479 33 81 2489 33 7 2567 41 746 2568 44 156 2569 35 2071

 Number ND NDSLA 2578 29 41 2579 30 517 2589 39 88 2678 35 4 2679 42 43 2689 37 47 2789 37 970 3456 41 98 3457 39 237 3458 39 32 3459 35 126 3467 24 10 3468 37 201 3469 44 122 3478 31 851 3479 44 61 3489 41 114 3567 38 78 3568 32 282 3569 42 443 3578 40 28 3579 25 256 3589 37 278 3678 36 93 3679 37 473 3689 39 44 3789 29 906 4567 39 139 4568 50 396 4569 35 790 4578 34 148 4579 35 729 4589 41 1205 4678 45 347 4679 31 127 4689 32 330 4789 27 147 5678 30 239 5679 35 179 5689 43 306 5789 27 559 6789 46 305

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

 Number ND NDSLA 0012 14 721 0013 14 807 0014 21 1796 0015 22 979 0016 17 92 0017 21 548 0018 15 418 0019 19 20 0023 26 735 0024 20 80 0025 19 12 0026 21 134 0027 23 1398 0028 22 236 0029 17 511 0034 16 288 0035 24 504 0036 23 82 0037 15 403 0038 19 1790 0039 13 1262 0045 15 1412 0046 16 209 0047 21 314 0048 17 702 0049 18 1176 0056 18 2704 0057 24 680 0058 23 749 0059 14 731 0067 17 153 0068 22 947 0069 15 1143 0078 20 331 0079 18 151 0089 20 247 0112 18 145 0113 14 5 0114 18 173 0115 24 46 0116 26 137 0117 25 177 0118 20 564 0119 16 3 0122 24 27 0133 14 333 0144 28 152 0155 17 1258 0166 15 3282 0177 20 112 0188 20 1288 0199 23 1626 0223 16 2043 0224 22 700 0225 17 877 0226 18 1443 0227 14 496 0228 22 515 0229 22 39 0233 13 255 0244 17 981 0255 12 262 0266 16 253 0277 17 106 0288 16 207 0299 16 706 0334 17 87 0335 25 174 0336 20 560 0337 23 363 0338 9 2407 0339 12 2685

 Number ND NDSLA 0344 16 48 0355 17 202 0366 16 1559 0377 19 1500 0388 16 1552 0399 12 1088 0445 16 2282 0446 19 590 0447 17 528 0448 17 960 0449 11 1493 0455 20 639 0466 18 2051 0477 10 1116 0488 17 3678 0499 20 16 0556 16 1695 0557 16 176 0558 20 587 0559 22 301 0566 17 270 0577 23 538 0588 22 397 0599 13 620 0667 13 2315 0668 22 390 0669 18 370 0677 23 204 0688 12 104 0699 19 824 0778 23 89 0779 13 26 0788 12 876 0799 16 76 0889 18 217 0899 20 574 1123 16 662 1124 17 307 1125 15 3724 1126 17 622 1127 22 1091 1128 26 77 1129 16 395 1134 15 1223 1135 18 1666 1136 16 476 1137 18 299 1138 17 84 1139 20 94 1145 17 992 1146 14 36 1147 18 1234 1148 19 38 1149 16 2765 1156 18 591 1157 17 1122 1158 19 1580 1159 7 2465 1167 13 353 1168 23 935 1169 24 745 1178 17 312 1179 22 454 1189 20 52 1223 21 651 1224 16 638 1225 26 24 1226 26 717 1227 16 2116 1228 19 619 1229 21 944 1233 12 2629

 Number ND NDSLA 1244 19 795 1255 24 888 1266 17 68 1277 21 1198 1288 24 2521 1299 22 310 1334 13 1597 1335 18 955 1336 18 1647 1337 13 870 1338 18 1274 1339 15 843 1344 17 819 1355 20 732 1366 13 1247 1377 23 468 1388 12 1024 1399 18 572 1445 18 252 1446 21 1225 1447 13 317 1448 16 197 1449 26 6 1455 12 225 1466 16 159 1477 13 135 1488 22 157 1499 21 834 1556 24 1832 1557 17 2414 1558 17 816 1559 15 983 1566 14 3320 1577 17 19 1588 15 3762 1599 21 879 1667 18 324 1668 17 97 1669 14 712 1677 23 483 1688 10 838 1699 19 300 1778 26 362 1779 18 474 1788 10 2327 1799 18 905 1889 20 206 1899 21 11 2234 18 1322 2235 20 963 2236 15 774 2237 18 1106 2238 24 29 2239 23 388 2245 25 1586 2246 22 49 2247 16 867 2248 24 610 2249 27 471 2256 25 953 2257 19 341 2258 16 2131 2259 14 2089 2267 21 845 2268 13 649 2269 16 222 2278 19 460 2279 17 3663 2289 19 243 2334 15 1072 2335 17 959 2336 17 520

 Number ND NDSLA 2337 26 302 2338 22 373 2339 10 33 2344 20 1029 2355 23 117 2366 15 854 2377 14 1703 2388 18 1025 2399 11 17 2445 21 374 2446 29 64 2447 26 413 2448 17 1177 2449 17 72 2455 24 1291 2466 18 550 2477 18 3351 2488 17 553 2499 23 912 2556 17 1163 2557 23 238 2558 13 42 2559 16 1376 2566 16 1092 2577 13 138 2588 15 196 2599 19 495 2667 19 1875 2668 17 1778 2669 18 327 2677 20 263 2688 18 484 2699 23 1605 2778 22 385 2779 17 1787 2788 17 1303 2799 17 2232 2889 20 584 2899 20 475 3345 23 632 3346 17 809 3347 21 25 3348 18 2048 3349 15 808 3356 10 510 3357 15 1380 3358 14 203 3359 13 505 3367 18 40 3368 21 143 3369 13 2440 3378 18 1373 3379 16 2468 3389 24 3191 3445 24 582 3446 15 822 3447 14 163 3448 13 274 3449 17 1353 3455 13 1046 3466 23 427 3477 17 73 3488 14 1407 3499 16 1343 3556 17 382 3557 17 342 3558 19 199 3559 21 121 3566 12 506 3577 16 1160 3588 16 277 3599 24 171

 Number ND NDSLA 3667 18 910 3668 16 618 3669 15 3206 3677 20 232 3688 20 175 3699 18 1932 3778 17 1489 3779 18 896 3788 31 334 3799 28 96 3889 18 1845 3899 13 3429 4456 19 1689 4457 25 45 4458 16 1930 4459 14 246 4467 22 2566 4468 19 356 4469 18 172 4478 11 205 4479 18 164 4489 14 211 4556 24 3570 4557 21 170 4558 9 3793 4559 20 320 4566 15 1683 4577 18 250 4588 21 328 4599 25 448 4667 18 885 4668 18 857 4669 15 2985 4677 22 463 4688 18 513 4699 16 1894 4778 26 1369 4779 22 67 4788 16 459 4799 19 2206 4889 10 3870 4899 16 146 5567 19 1616 5568 17 221 5569 13 1293 5578 23 289 5579 11 162 5589 19 849 5667 19 527 5668 20 477 5669 19 2052 5677 14 832 5688 16 600 5699 22 298 5778 13 1366 5779 18 828 5788 21 124 5799 19 216 5889 21 2773 5899 13 31 6678 19 1620 6679 19 429 6689 24 228 6778 15 669 6779 18 794 6788 12 2847 6799 16 292 6889 23 142 6899 26 430 7789 14 1429 7889 15 53 7899 19 656

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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 2696 0022 9 3861 0033 9 2691 0044 16 637 0055 8 345 0066 18 123 0077 7 3519 0088 12 223 0099 6 740

 Number ND NDSLA 1122 10 1210 1133 9 3330 1144 8 464 1155 13 2189 1166 4 2214 1177 12 3076 1188 12 2066 1199 6 1257 2233 12 1939

 Number ND NDSLA 2244 11 57 2255 7 1688 2266 10 141 2277 11 309 2288 12 4934 2299 9 1078 3344 7 1510 3355 5 482 3366 4 1003

 Number ND NDSLA 3377 11 1423 3388 7 2126 3399 11 1273 4455 9 257 4466 9 3188 4477 9 625 4488 11 2242 4499 8 1348 5566 13 110

 Number ND NDSLA 5577 8 2228 5588 6 360 5599 7 1034 6677 9 1868 6688 13 219 6699 11 467 7788 11 605 7799 10 1187 8899 7 671

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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 2506 0002 8 4764 0003 4 4542 0004 7 435 0005 12 3029 0006 11 1391 0007 6 4628 0008 5 4344 0009 3 3929 0111 6 1827 0222 7 2853 0333 6 6025 0444 2 1569 0555 8 634 0666 7 4333 0777 6 3374 0888 6 161 0999 7 4758

 Number ND NDSLA 1112 5 3262 1113 3 6217 1114 7 1041 1115 6 1220 1116 5 2467 1117 3 4477 1118 5 12723 1119 8 709 1222 6 85 1333 7 968 1444 6 254 1555 6 1846 1666 4 1744 1777 5 664 1888 7 3523 1999 4 3354 2223 6 5702 2224 7 4945

 Number ND NDSLA 2225 5 358 2226 7 1074 2227 11 1305 2228 11 2838 2229 8 2382 2333 7 6629 2444 7 2536 2555 6 3267 2666 6 661 2777 9 1362 2888 3 11806 2999 10 1566 3334 10 1454 3335 5 185 3336 15 837 3337 6 399 3338 7 3427 3339 7 758

 Number ND NDSLA 3444 4 988 3555 5 6146 3666 6 3015 3777 6 2849 3888 6 3989 3999 8 980 4445 6 747 4446 4 612 4447 7 815 4448 9 699 4449 4 3224 4555 13 1699 4666 3 8050 4777 6 9420 4888 8 1971 4999 8 1212 5556 5 541 5557 8 2883

 Number ND NDSLA 5558 9 1774 5559 6 266 5666 5 1432 5777 11 349 5888 2 986 5999 12 231 6667 6 2565 6668 4 235 6669 5 2772 6777 6 1729 6888 5 1912 6999 5 902 7778 3 3464 7779 6 439 7888 5 2033 7999 6 2398 8889 4 555 8999 8 864

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

 Number ND NDSLA 0000 6 2364 1111 4 1502 2222 2 512 3333 1 9837 4444 1 633 5555 1 6067 6666 1 3280 7777 2 3802 8888 0 - 9999 3 11244

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