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

# Wisconsin Lottery Pick 4 Boxes(numbers in any order) Data

 Data updated on Friday, May 24, 2013 When playing Wisconsin 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 WisconsinPick 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.

## WisconsinPick 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 WisconsinPick 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 WisconsinPick 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 WisconsinPick 4 Boxes (Combos) Analysis for a more elaborate analysis of boxes.

WisconsinPick 4winnig numbers by category
From Monday, September 15, 1997 to Friday, May 24, 2013)

• Total number of draws             = 5731
• Number of non-repeats drawn   = 2823 (49.26%)
• Number of one-repeating drawn = 2507 (43.74%)
• Number of dual-doubles drawn   = 179 (3.12%)
• Number of one-tripled drawn     = 215 (3.75%)
• Number of quadruples drawn      = 7 (0.12%)

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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 13 23 0124 18 699 0125 18 240 0126 16 42 0127 9 908 0128 13 64 0129 15 840 0134 11 264 0135 16 278 0136 17 307 0137 10 53 0138 11 196 0139 14 877 0145 15 593 0146 11 187 0147 20 84 0148 13 159 0149 16 120 0156 9 50 0157 7 642 0158 12 379 0159 10 1298 0167 10 330 0168 6 184 0169 10 611 0178 12 289 0179 16 229 0189 11 241 0234 19 635 0235 19 161 0236 10 764 0237 7 1113 0238 9 44 0239 15 254 0245 21 99 0246 9 937 0247 10 228 0248 12 1629 0249 10 785 0256 12 1825 0257 15 457 0258 17 250

 Number ND NDSLA 0259 19 693 0267 17 131 0268 16 73 0269 12 106 0278 13 354 0279 16 150 0289 10 11 0345 12 143 0346 12 349 0347 13 170 0348 11 112 0349 15 138 0356 11 369 0357 13 141 0358 18 497 0359 17 16 0367 7 1222 0368 16 176 0369 16 32 0378 15 123 0379 15 217 0389 18 136 0456 8 1652 0457 17 671 0458 12 541 0459 21 1143 0467 11 174 0468 14 39 0469 25 238 0478 18 4 0479 18 424 0489 19 485 0567 16 304 0568 13 152 0569 14 1414 0578 9 306 0579 11 20 0589 9 93 0678 13 233 0679 9 119 0689 13 27 0789 14 569

 Number ND NDSLA 1234 12 118 1235 16 281 1236 11 508 1237 11 967 1238 23 190 1239 16 157 1245 13 678 1246 11 815 1247 8 81 1248 12 102 1249 9 434 1256 14 245 1257 7 604 1258 15 277 1259 16 211 1267 13 574 1268 15 376 1269 15 1596 1278 16 70 1279 9 577 1289 8 34 1345 14 255 1346 17 243 1347 19 287 1348 20 599 1349 14 493 1356 17 221 1357 11 473 1358 14 65 1359 12 31 1367 20 21 1368 13 74 1369 11 219 1378 21 137 1379 14 130 1389 10 339 1456 22 113 1457 16 313 1458 13 115 1459 18 13 1467 15 107 1468 9 428

 Number ND NDSLA 1469 13 124 1478 12 146 1479 8 1963 1489 11 1373 1567 14 430 1568 19 248 1569 14 276 1578 13 17 1579 10 892 1589 20 429 1678 9 308 1679 15 234 1689 10 456 1789 12 731 2345 16 1160 2346 13 63 2347 14 90 2348 13 844 2349 18 3 2356 13 835 2357 13 1138 2358 11 57 2359 15 172 2367 7 1674 2368 15 470 2369 9 442 2378 10 186 2379 5 658 2389 13 46 2456 9 80 2457 10 371 2458 12 2199 2459 17 461 2467 10 1586 2468 16 89 2469 14 451 2478 10 445 2479 10 385 2489 15 55 2567 8 86 2568 11 1183 2569 13 1243

 Number ND NDSLA 2578 14 198 2579 18 8 2589 16 18 2678 17 68 2679 22 78 2689 15 10 2789 9 342 3456 9 327 3457 11 1024 3458 9 702 3459 12 331 3467 18 312 3468 13 706 3469 18 103 3478 14 418 3479 12 183 3489 14 12 3567 8 283 3568 9 816 3569 10 978 3578 11 490 3579 12 329 3589 17 1 3678 20 353 3679 16 680 3689 12 874 3789 15 298 4567 18 294 4568 19 36 4569 15 82 4578 9 664 4579 15 359 4589 7 253 4678 17 273 4679 13 62 4689 8 946 4789 11 876 5678 12 768 5679 17 386 5689 13 109 5789 12 132 6789 16 204

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

 Number ND NDSLA 0012 6 199 0013 11 127 0014 8 1527 0015 8 860 0016 9 829 0017 10 484 0018 3 1291 0019 5 1574 0023 7 6 0024 4 1428 0025 2 4106 0026 2 3326 0027 7 1037 0028 2 185 0029 10 1131 0034 2 2034 0035 13 955 0036 3 805 0037 5 1831 0038 5 1359 0039 9 964 0045 9 153 0046 9 160 0047 8 561 0048 8 209 0049 8 22 0056 8 222 0057 1 4411 0058 7 368 0059 1 2383 0067 8 133 0068 12 1156 0069 13 230 0078 5 362 0079 8 345 0089 8 1085 0112 8 394 0113 9 344 0114 6 9 0115 6 324 0116 6 1385 0117 6 1007 0118 8 302 0119 11 37 0122 5 1332 0133 13 101 0144 8 387 0155 0 - 0166 4 366 0177 10 206 0188 5 1251 0199 4 528 0223 6 519 0224 12 191 0225 6 2823 0226 5 674 0227 3 139 0228 10 179 0229 7 1136 0233 13 1082 0244 5 421 0255 8 149 0266 4 1162 0277 7 994 0288 9 408 0299 4 2415 0334 7 268 0335 3 3270 0336 9 623 0337 7 866 0338 7 1807 0339 5 335

 Number ND NDSLA 0344 7 2426 0355 9 597 0366 10 72 0377 4 1578 0388 5 350 0399 2 361 0445 5 540 0446 3 1074 0447 8 1377 0448 2 246 0449 11 1285 0455 9 1263 0466 5 2143 0477 2 3176 0488 6 566 0499 4 697 0556 13 30 0557 5 1046 0558 4 1301 0559 8 51 0566 0 - 0577 6 889 0588 10 14 0599 3 1172 0667 8 830 0668 7 301 0669 6 399 0677 8 128 0688 8 1978 0699 8 531 0778 6 201 0779 8 583 0788 3 2220 0799 9 35 0889 7 71 0899 7 311 1123 5 2705 1124 12 1512 1125 12 83 1126 7 29 1127 10 193 1128 5 1084 1129 5 986 1134 7 1520 1135 8 48 1136 9 69 1137 8 1679 1138 7 85 1139 3 3328 1145 5 1838 1146 10 988 1147 8 2050 1148 7 1000 1149 9 1176 1156 7 842 1157 5 220 1158 5 129 1159 8 1766 1167 4 352 1168 7 79 1169 9 164 1178 7 1078 1179 8 996 1189 10 92 1223 8 175 1224 9 1405 1225 7 265 1226 3 3479 1227 5 218 1228 8 227 1229 9 1133 1233 2 557

 Number ND NDSLA 1244 3 3516 1255 8 426 1266 8 956 1277 11 181 1288 7 756 1299 7 546 1334 7 94 1335 8 1266 1336 6 194 1337 5 726 1338 5 1731 1339 9 328 1344 6 772 1355 5 875 1366 5 447 1377 5 3526 1388 8 609 1399 10 1027 1445 9 494 1446 12 506 1447 3 1446 1448 7 56 1449 4 615 1455 6 24 1466 6 66 1477 10 504 1488 9 47 1499 7 77 1556 8 2254 1557 6 942 1558 7 1455 1559 11 1774 1566 6 1720 1577 5 465 1588 13 225 1599 4 1613 1667 11 1140 1668 3 791 1669 10 372 1677 6 879 1688 7 5 1699 6 884 1778 3 825 1779 10 156 1788 5 2019 1799 6 1672 1889 3 2 1899 11 491 2234 5 1792 2235 6 481 2236 5 838 2237 6 724 2238 8 188 2239 7 325 2245 2 2198 2246 4 406 2247 5 356 2248 8 1075 2249 9 645 2256 3 1017 2257 6 373 2258 14 389 2259 7 252 2267 4 0 2268 8 261 2269 6 1283 2278 5 1370 2279 4 851 2289 6 467 2334 8 503 2335 8 551 2336 4 2028

 Number ND NDSLA 2337 10 625 2338 8 2457 2339 9 7 2344 9 675 2355 8 126 2366 7 117 2377 9 180 2388 7 843 2399 12 475 2445 10 19 2446 7 1478 2447 6 1060 2448 7 648 2449 8 54 2455 5 169 2466 4 207 2477 11 644 2488 14 317 2499 6 148 2556 5 707 2557 6 288 2558 8 1965 2559 4 694 2566 6 921 2577 6 576 2588 8 627 2599 9 403 2667 14 189 2668 9 1989 2669 9 382 2677 1 2631 2688 1 1276 2699 8 478 2778 6 913 2779 9 364 2788 9 2762 2799 10 1158 2889 8 700 2899 12 216 3345 7 1281 3346 6 1759 3347 12 404 3348 3 40 3349 9 76 3356 8 15 3357 9 58 3358 6 1461 3359 7 1575 3367 9 740 3368 8 1032 3369 11 154 3378 7 1320 3379 5 158 3389 7 774 3445 11 529 3446 13 236 3447 2 2810 3448 7 1272 3449 4 1369 3455 2 2927 3466 8 262 3477 7 1056 3488 6 454 3499 6 683 3556 7 789 3557 6 239 3558 9 723 3559 5 1429 3566 9 275 3577 5 1274 3588 1 3833 3599 6 1360

 Number ND NDSLA 3667 6 1212 3668 4 464 3669 11 393 3677 5 2332 3688 4 1282 3699 7 729 3778 11 1865 3779 4 1294 3788 4 2306 3799 8 452 3889 4 315 3899 9 947 4456 9 295 4457 7 904 4458 10 466 4459 6 59 4467 6 530 4468 8 314 4469 6 543 4478 4 624 4479 10 761 4489 10 858 4556 6 251 4557 5 1400 4558 7 1418 4559 6 290 4566 6 1286 4577 11 822 4588 14 332 4599 8 145 4667 9 3735 4668 7 151 4669 9 580 4677 12 292 4688 7 1179 4699 3 2420 4778 5 263 4779 13 87 4788 10 28 4799 6 41 4889 7 553 4899 2 43 5567 10 537 5568 8 438 5569 5 1348 5578 6 1829 5579 4 1180 5589 8 33 5667 4 1043 5668 10 747 5669 8 584 5677 3 929 5688 5 319 5699 10 177 5778 9 410 5779 3 1342 5788 4 432 5799 6 414 5889 10 398 5899 10 98 6678 7 542 6679 15 1571 6689 8 223 6778 3 212 6779 2 2909 6788 8 282 6799 12 351 6889 3 3198 6899 12 652 7789 6 520 7889 5 395 7899 5 1077

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

 Number ND NDSLA 0011 7 855 0022 3 1264 0033 4 2114 0044 4 663 0055 2 2099 0066 7 214 0077 2 4307 0088 4 659 0099 2 1445

 Number ND NDSLA 1122 1 637 1133 7 341 1144 3 1239 1155 5 433 1166 7 598 1177 8 1081 1188 2 1463 1199 7 558 2233 3 794

 Number ND NDSLA 2244 3 1477 2255 2 1240 2266 4 125 2277 3 284 2288 1 3683 2299 5 681 3344 8 1161 3355 3 2041 3366 3 696

 Number ND NDSLA 3377 5 923 3388 2 100 3399 3 1970 4455 2 2379 4466 4 788 4477 8 1347 4488 2 3540 4499 4 291 5566 7 704

 Number ND NDSLA 5577 5 460 5588 3 718 5599 3 38 6677 3 142 6688 5 346 6699 5 654 7788 1 116 7799 1 5093 8899 6 25

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

 Number ND NDSLA 0001 3 2666 0002 1 4601 0003 1 2053 0004 2 1305 0005 4 1553 0006 3 2706 0007 1 1506 0008 2 735 0009 3 197 0111 1 701 0222 3 1489 0333 5 1913 0444 1 5195 0555 2 49 0666 0 - 0777 3 2712 0888 3 1410 0999 2 2684

 Number ND NDSLA 1112 2 88 1113 4 3056 1114 1 5563 1115 2 3265 1116 0 - 1117 1 3127 1118 1 3856 1119 1 3876 1222 1 5069 1333 0 - 1444 3 1483 1555 2 178 1666 5 147 1777 3 2494 1888 2 1192 1999 4 766 2223 2 1634 2224 2 3453

 Number ND NDSLA 2225 5 796 2226 3 1072 2227 3 96 2228 5 512 2229 1 5141 2333 1 5070 2444 2 358 2555 2 1640 2666 4 1482 2777 2 274 2888 3 213 2999 4 3063 3334 3 582 3335 4 61 3336 3 668 3337 0 - 3338 7 242 3339 3 1044

 Number ND NDSLA 3444 5 1422 3555 4 203 3666 1 3218 3777 1 492 3888 2 1976 3999 1 1851 4445 2 632 4446 2 2358 4447 3 1129 4448 0 - 4449 3 474 4555 2 1737 4666 1 360 4777 3 1338 4888 0 - 4999 5 934 5556 1 501 5557 4 26

 Number ND NDSLA 5558 1 437 5559 0 - 5666 1 3914 5777 7 347 5888 4 614 5999 3 402 6667 4 1488 6668 0 - 6669 1 4417 6777 4 1397 6888 3 260 6999 1 3910 7778 0 - 7779 4 1531 7888 1 3092 7999 5 550 8889 1 2279 8999 4 1102

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

 Number ND NDSLA 0000 3 60 1111 0 - 2222 0 - 3333 0 - 4444 1 2827 5555 1 4053 6666 2 3443 7777 0 - 8888 0 - 9999 0 -

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