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

New Hampshire lottery Pick 4 Boxes(numbers in any order) Data

 Data updated on Thursday, December 12, 2013 When playing New Hampshire Pick 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 Pick 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 Hampshire Pick 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; Pick 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 Pick 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 Pick 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 Hampshire Pick 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 Hampshire Pick 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 Hampshire Pick 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 Hampshire Pick 4 Boxes (Combos) Analysis for a more elaborate analysis of boxes.

New Hampshire Pick 4winnig numbers by category
From Tuesday, September 03, 1985 to Thursday, December 12, 2013)

• Total number of draws             = 13478
• Number of non-repeats drawn   = 6732 (49.95%)
• Number of one-repeating drawn = 5868 (43.54%)
• Number of dual-doubles drawn   = 371 (2.75%)
• Number of one-tripled drawn     = 490 (3.64%)
• Number of quadruples drawn      = 17 (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 40 696 0124 32 752 0125 27 175 0126 33 421 0127 31 711 0128 24 489 0129 17 632 0134 30 328 0135 32 531 0136 25 1799 0137 34 1547 0138 22 895 0139 30 545 0145 40 84 0146 41 137 0147 22 894 0148 23 429 0149 33 21 0156 27 553 0157 32 43 0158 25 68 0159 38 725 0167 29 187 0168 30 32 0169 24 542 0178 29 731 0179 33 1085 0189 34 292 0234 34 1 0235 38 285 0236 45 358 0237 28 80 0238 31 60 0239 34 242 0245 27 324 0246 36 299 0247 35 320 0248 39 819 0249 37 831 0256 32 28 0257 28 634 0258 25 581

 Number ND NDSLA 0259 37 409 0267 30 957 0268 43 35 0269 30 509 0278 28 605 0279 34 204 0289 31 1381 0345 35 59 0346 36 151 0347 35 404 0348 23 1613 0349 32 257 0356 33 314 0357 38 110 0358 36 349 0359 26 129 0367 39 18 0368 37 75 0369 28 49 0378 41 355 0379 29 212 0389 30 42 0456 33 76 0457 31 492 0458 29 558 0459 26 1319 0467 37 56 0468 29 296 0469 33 261 0478 27 112 0479 32 206 0489 27 271 0567 25 295 0568 33 781 0569 45 197 0578 36 772 0579 25 630 0589 24 872 0678 41 140 0679 35 372 0689 36 246 0789 23 877

 Number ND NDSLA 1234 34 331 1235 26 48 1236 33 1034 1237 30 1699 1238 30 19 1239 47 760 1245 50 119 1246 22 628 1247 42 442 1248 43 582 1249 19 47 1256 39 70 1257 29 450 1258 27 426 1259 37 13 1267 33 220 1268 26 347 1269 32 350 1278 28 128 1279 28 406 1289 30 268 1345 24 290 1346 31 208 1347 36 44 1348 33 486 1349 38 1174 1356 33 106 1357 45 36 1358 32 1510 1359 35 109 1367 28 231 1368 31 289 1369 40 125 1378 41 142 1379 29 1006 1389 30 272 1456 33 557 1457 23 2119 1458 33 190 1459 39 12 1467 31 439 1468 33 574

 Number ND NDSLA 1469 30 2387 1478 35 11 1479 23 81 1489 34 141 1567 27 326 1568 37 31 1569 34 346 1578 39 8 1579 34 644 1589 29 22 1678 42 139 1679 27 332 1689 20 157 1789 29 311 2345 24 336 2346 32 279 2347 38 30 2348 39 7 2349 27 471 2356 32 340 2357 34 202 2358 21 5 2359 30 165 2367 28 757 2368 24 65 2369 18 72 2378 28 1353 2379 36 100 2389 36 1086 2456 40 162 2457 36 472 2458 41 150 2459 38 633 2467 34 388 2468 36 254 2469 35 3 2478 35 676 2479 35 91 2489 29 386 2567 27 1088 2568 38 485 2569 38 193

 Number ND NDSLA 2578 32 63 2579 33 159 2589 22 249 2678 27 707 2679 42 216 2689 26 412 2789 35 1858 3456 20 301 3457 25 687 3458 24 408 3459 26 1680 3467 28 530 3468 39 121 3469 34 1027 3478 35 95 3479 28 54 3489 30 207 3567 36 46 3568 33 33 3569 21 1186 3578 39 560 3579 35 738 3589 33 740 3678 45 69 3679 34 217 3689 28 437 3789 37 250 4567 38 34 4568 30 107 4569 33 25 4578 37 321 4579 31 10 4589 34 9 4678 31 316 4679 27 434 4689 29 86 4789 30 17 5678 35 6 5679 32 344 5689 37 55 5789 29 511 6789 36 14

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

 Number ND NDSLA 0012 13 99 0013 18 852 0014 16 4262 0015 17 1318 0016 12 1468 0017 17 1630 0018 11 1740 0019 14 841 0023 19 1795 0024 13 694 0025 11 2081 0026 22 79 0027 21 1224 0028 25 716 0029 16 578 0034 13 2366 0035 12 278 0036 9 1949 0037 15 1978 0038 12 464 0039 15 1883 0045 30 491 0046 12 2775 0047 14 758 0048 15 493 0049 22 1407 0056 14 1321 0057 16 148 0058 9 1774 0059 18 307 0067 18 51 0068 13 89 0069 12 858 0078 21 305 0079 16 659 0089 13 415 0112 22 626 0113 18 431 0114 14 122 0115 10 879 0116 18 4 0117 24 2777 0118 11 2 0119 14 864 0122 13 681 0133 18 746 0144 18 1067 0155 14 432 0166 14 762 0177 14 280 0188 19 398 0199 14 155 0223 17 1511 0224 18 3328 0225 20 286 0226 15 603 0227 13 631 0228 18 1430 0229 19 270 0233 20 179 0244 18 873 0255 16 1726 0266 19 0 0277 15 1675 0288 10 1284 0299 9 1512 0334 10 697 0335 8 85 0336 11 510 0337 14 1372 0338 20 941 0339 12 383

 Number ND NDSLA 0344 21 67 0355 26 837 0366 13 488 0377 17 702 0388 12 188 0399 20 229 0445 13 448 0446 16 1294 0447 24 152 0448 13 15 0449 24 742 0455 15 88 0466 14 736 0477 18 1062 0488 26 158 0499 17 1957 0556 18 198 0557 17 194 0558 19 682 0559 16 960 0566 16 27 0577 22 260 0588 25 812 0599 20 183 0667 16 1074 0668 22 435 0669 19 245 0677 26 366 0688 12 105 0699 11 219 0778 18 239 0779 16 118 0788 19 528 0799 15 706 0889 15 169 0899 19 102 1123 17 200 1124 17 1855 1125 13 1244 1126 10 233 1127 15 1194 1128 15 339 1129 18 240 1134 13 2171 1135 15 548 1136 23 244 1137 9 2128 1138 12 2525 1139 18 251 1145 9 904 1146 18 39 1147 17 170 1148 17 308 1149 9 525 1156 26 467 1157 17 2757 1158 11 765 1159 13 98 1167 16 775 1168 16 1233 1169 18 1281 1178 13 1769 1179 15 2382 1189 15 946 1223 13 1960 1224 19 2484 1225 22 319 1226 20 443 1227 21 596 1228 13 374 1229 17 228 1233 15 337

 Number ND NDSLA 1244 8 410 1255 15 370 1266 21 1398 1277 21 322 1288 19 1073 1299 12 641 1334 18 330 1335 20 209 1336 15 1787 1337 20 93 1338 13 923 1339 25 213 1344 20 556 1355 15 227 1366 27 210 1377 15 933 1388 11 195 1399 16 709 1445 12 24 1446 20 2707 1447 20 1962 1448 12 1683 1449 20 400 1455 13 225 1466 17 1498 1477 13 41 1488 17 342 1499 17 944 1556 13 959 1557 22 182 1558 11 1402 1559 18 379 1566 22 83 1577 14 416 1588 24 1376 1599 20 172 1667 17 133 1668 12 1394 1669 11 851 1677 17 232 1688 21 470 1699 13 189 1778 16 354 1779 15 401 1788 23 695 1799 12 101 1889 17 3431 1899 19 291 2234 23 413 2235 12 1031 2236 26 234 2237 23 973 2238 19 20 2239 25 664 2245 10 2364 2246 15 274 2247 15 538 2248 19 939 2249 11 2334 2256 10 1442 2257 22 724 2258 11 166 2259 13 1840 2267 10 1420 2268 14 1220 2269 5 880 2278 12 1411 2279 12 1882 2289 18 2815 2334 13 1386 2335 16 564 2336 22 691

 Number ND NDSLA 2337 15 440 2338 18 185 2339 15 111 2344 23 345 2355 15 184 2366 21 334 2377 12 1422 2388 18 16 2399 14 595 2445 12 663 2446 11 77 2447 11 1765 2448 17 26 2449 9 624 2455 14 956 2466 22 454 2477 12 1997 2488 16 820 2499 15 351 2556 14 113 2557 12 57 2558 19 517 2559 12 132 2566 20 144 2577 7 2954 2588 14 45 2599 23 643 2667 13 1748 2668 15 526 2669 12 293 2677 9 2500 2688 14 2796 2699 15 494 2778 17 699 2779 18 127 2788 16 135 2799 17 1712 2889 19 832 2899 12 1010 3345 20 174 3346 17 667 3347 23 255 3348 22 796 3349 16 1410 3356 13 516 3357 23 164 3358 14 1311 3359 14 1521 3367 22 284 3368 11 23 3369 15 385 3378 17 1807 3379 17 264 3389 20 881 3445 17 1024 3446 22 262 3447 17 1529 3448 19 313 3449 18 845 3455 19 364 3466 16 646 3477 18 1208 3488 17 815 3499 12 2062 3556 23 729 3557 24 38 3558 16 167 3559 17 546 3566 13 407 3577 20 273 3588 19 300 3599 15 243

 Number ND NDSLA 3667 19 550 3668 11 597 3669 13 236 3677 23 97 3688 21 420 3699 16 1118 3778 18 475 3779 11 1146 3788 17 847 3799 16 394 3889 19 226 3899 10 1249 4456 16 1634 4457 14 359 4458 16 241 4459 16 780 4467 14 238 4468 24 247 4469 18 588 4478 20 58 4479 10 297 4489 7 4968 4556 11 1081 4557 19 579 4558 23 1180 4559 17 73 4566 15 1165 4577 17 1482 4588 11 1417 4599 13 1171 4667 16 571 4668 16 230 4669 15 1460 4677 18 147 4688 17 153 4699 10 974 4778 11 897 4779 21 396 4788 14 620 4799 13 356 4889 12 78 4899 16 134 5567 15 131 5568 25 1104 5569 18 186 5578 15 82 5579 16 1950 5589 12 1304 5667 11 1287 5668 20 161 5669 9 1595 5677 16 123 5688 18 180 5699 19 629 5778 18 126 5779 12 1082 5788 21 1594 5799 23 163 5889 19 478 5899 17 474 6678 15 87 6679 15 2036 6689 17 2629 6778 25 171 6779 18 50 6788 15 1028 6799 20 256 6889 19 203 6899 14 196 7789 18 979 7889 18 677 7899 21 436

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

 Number ND NDSLA 0011 11 1251 0022 9 1945 0033 11 1852 0044 5 3064 0055 9 1464 0066 8 5084 0077 11 418 0088 6 1812 0099 11 177

 Number ND NDSLA 1122 7 814 1133 5 4336 1144 9 1771 1155 15 669 1166 7 2466 1177 13 1002 1188 8 6812 1199 5 1051 2233 8 1122

 Number ND NDSLA 2244 7 1948 2255 7 1903 2266 7 813 2277 10 381 2288 10 619 2299 8 149 3344 15 1575 3355 6 671 3366 5 1984

 Number ND NDSLA 3377 12 1351 3388 8 1156 3399 2 5884 4455 8 1427 4466 11 672 4477 11 1098 4488 7 587 4499 8 130 5566 7 3512

 Number ND NDSLA 5577 5 1567 5588 5 3092 5599 9 371 6677 7 1653 6688 7 3182 6699 12 146 7788 12 192 7799 4 1257 8899 3 2678

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

 Number ND NDSLA 0001 5 800 0002 7 4133 0003 3 4511 0004 6 1874 0005 5 673 0006 5 2785 0007 7 1169 0008 3 1167 0009 4 2708 0111 7 1266 0222 3 2301 0333 5 1130 0444 6 712 0555 9 237 0666 8 1662 0777 8 1291 0888 8 6777 0999 2 789

 Number ND NDSLA 1112 5 1923 1113 4 4322 1114 2 2962 1115 2 2455 1116 3 2060 1117 4 3668 1118 5 74 1119 5 6275 1222 4 428 1333 6 1572 1444 4 649 1555 5 4036 1666 5 2477 1777 4 3554 1888 6 2794 1999 3 3625 2223 7 156 2224 6 3195

 Number ND NDSLA 2225 6 657 2226 5 2247 2227 6 1509 2228 8 2986 2229 7 4614 2333 7 3498 2444 8 1341 2555 7 2111 2666 7 638 2777 8 3890 2888 6 2730 2999 3 1785 3334 4 2134 3335 6 1922 3336 4 4286 3337 6 3067 3338 4 1234 3339 3 3398

 Number ND NDSLA 3444 6 1504 3555 9 688 3666 5 541 3777 7 2032 3888 2 798 3999 5 2987 4445 4 1686 4446 5 1035 4447 3 2432 4448 2 2741 4449 5 1722 4555 6 446 4666 5 1869 4777 4 1158 4888 4 1054 4999 3 8485 5556 8 267 5557 8 4613

 Number ND NDSLA 5558 8 3437 5559 7 1373 5666 7 176 5777 7 1154 5888 5 2497 5999 7 214 6667 6 90 6668 4 2884 6669 6 635 6777 7 3811 6888 7 1361 6999 8 3169 7778 7 352 7779 4 2132 7888 7 71 7999 5 998 8889 9 1607 8999 2 5254

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

 Number ND NDSLA 0000 3 2023 1111 1 3149 2222 1 12070 3333 0 - 4444 1 2932 5555 4 422 6666 1 10639 7777 0 - 8888 4 5113 9999 2 6581

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