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 Saturday, December 07, 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 Saturday, December 07, 2013)

• Total number of draws             = 5928
• Number of non-repeats drawn   = 2924 (49.33%)
• Number of one-repeating drawn = 2593 (43.74%)
• Number of dual-doubles drawn   = 184 (3.10%)
• Number of one-tripled drawn     = 220 (3.71%)
• 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 13 220 0124 18 896 0125 18 437 0126 17 133 0127 9 1105 0128 14 108 0129 15 1037 0134 12 45 0135 18 16 0136 18 53 0137 10 250 0138 11 393 0139 14 1074 0145 16 179 0146 11 384 0147 20 281 0148 13 356 0149 16 317 0156 9 247 0157 7 839 0158 12 576 0159 11 139 0167 10 527 0168 6 381 0169 10 808 0178 13 80 0179 16 426 0189 12 102 0234 19 832 0235 19 358 0236 10 961 0237 9 188 0238 11 92 0239 15 451 0245 21 296 0246 9 1134 0247 10 425 0248 13 37 0249 10 982 0256 13 22 0257 16 11 0258 17 447

 Number ND NDSLA 0259 19 890 0267 18 150 0268 17 132 0269 13 75 0278 14 29 0279 16 347 0289 10 208 0345 12 340 0346 12 546 0347 14 1 0348 11 309 0349 16 160 0356 12 195 0357 15 35 0358 18 694 0359 17 213 0367 7 1419 0368 17 13 0369 17 190 0378 15 320 0379 15 414 0389 20 18 0456 8 1849 0457 17 868 0458 13 30 0459 21 1340 0467 11 371 0468 17 19 0469 25 435 0478 19 164 0479 19 116 0489 19 682 0567 16 501 0568 14 46 0569 14 1611 0578 9 503 0579 11 217 0589 9 290 0678 13 430 0679 9 316 0689 13 224 0789 14 766

 Number ND NDSLA 1234 13 156 1235 17 107 1236 11 705 1237 12 134 1238 25 26 1239 17 100 1245 13 875 1246 12 55 1247 8 278 1248 12 299 1249 9 631 1256 14 442 1257 7 801 1258 16 77 1259 16 408 1267 13 771 1268 15 573 1269 15 1793 1278 16 267 1279 9 774 1289 9 182 1345 14 452 1346 17 440 1347 19 484 1348 20 796 1349 14 690 1356 17 418 1357 11 670 1358 16 23 1359 13 135 1367 22 168 1368 14 110 1369 12 39 1378 23 28 1379 14 327 1389 12 24 1456 22 310 1457 16 510 1458 13 312 1459 18 210 1467 15 304 1468 9 625

 Number ND NDSLA 1469 14 138 1478 12 343 1479 8 2160 1489 11 1570 1567 14 627 1568 20 94 1569 14 473 1578 14 20 1579 11 79 1589 21 60 1678 10 4 1679 16 59 1689 10 653 1789 13 47 2345 18 69 2346 13 260 2347 14 287 2348 13 1041 2349 18 200 2356 13 1032 2357 13 1335 2358 11 254 2359 15 369 2367 10 82 2368 16 6 2369 10 145 2378 12 65 2379 5 855 2389 13 243 2456 9 277 2457 10 568 2458 12 2396 2459 17 658 2467 10 1783 2468 16 286 2469 14 648 2478 10 642 2479 10 582 2489 15 252 2567 8 283 2568 11 1380 2569 13 1440

 Number ND NDSLA 2578 15 136 2579 18 205 2589 17 175 2678 17 265 2679 23 12 2689 15 207 2789 10 149 3456 10 78 3457 13 163 3458 11 15 3459 13 85 3467 18 509 3468 13 903 3469 18 300 3478 14 615 3479 14 31 3489 15 36 3567 8 480 3568 9 1013 3569 11 187 3578 12 129 3579 13 62 3589 20 114 3678 20 550 3679 16 877 3689 12 1071 3789 16 170 4567 19 51 4568 19 233 4569 15 279 4578 9 861 4579 15 556 4589 8 155 4678 18 9 4679 14 74 4689 9 166 4789 11 1073 5678 13 90 5679 17 583 5689 13 306 5789 13 113 6789 16 401

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

 Number ND NDSLA 0012 6 396 0013 11 324 0014 9 127 0015 8 1057 0016 9 1026 0017 10 681 0018 3 1488 0019 5 1771 0023 7 203 0024 4 1625 0025 2 4303 0026 2 3523 0027 7 1234 0028 3 142 0029 10 1328 0034 2 2231 0035 13 1152 0036 3 1002 0037 6 174 0038 5 1556 0039 9 1161 0045 11 64 0046 10 115 0047 8 758 0048 8 406 0049 8 219 0056 8 419 0057 2 171 0058 7 565 0059 1 2580 0067 10 87 0068 13 104 0069 13 427 0078 6 124 0079 8 542 0089 8 1282 0112 8 591 0113 9 541 0114 6 206 0115 6 521 0116 6 1582 0117 6 1204 0118 8 499 0119 11 234 0122 5 1529 0133 13 298 0144 8 584 0155 0 - 0166 4 563 0177 10 403 0188 5 1448 0199 5 33 0223 6 716 0224 12 388 0225 6 3020 0226 5 871 0227 3 336 0228 11 10 0229 7 1333 0233 13 1279 0244 5 618 0255 9 151 0266 4 1359 0277 7 1191 0288 9 605 0299 4 2612 0334 7 465 0335 4 173 0336 9 820 0337 7 1063 0338 7 2004 0339 5 532

 Number ND NDSLA 0344 7 2623 0355 9 794 0366 10 269 0377 4 1775 0388 6 101 0399 2 558 0445 6 117 0446 3 1271 0447 8 1574 0448 2 443 0449 11 1482 0455 9 1460 0466 5 2340 0477 2 3373 0488 6 763 0499 4 894 0556 13 227 0557 5 1243 0558 4 1498 0559 9 196 0566 0 - 0577 6 1086 0588 10 211 0599 3 1369 0667 8 1027 0668 7 498 0669 6 596 0677 8 325 0688 8 2175 0699 8 728 0778 6 398 0779 8 780 0788 3 2417 0799 9 232 0889 7 268 0899 8 50 1123 5 2902 1124 12 1709 1125 12 280 1126 7 226 1127 10 390 1128 5 1281 1129 5 1183 1134 7 1717 1135 8 245 1136 9 266 1137 9 97 1138 7 282 1139 3 3525 1145 6 167 1146 10 1185 1147 9 159 1148 7 1197 1149 9 1373 1156 7 1039 1157 5 417 1158 5 326 1159 8 1963 1167 4 549 1168 7 276 1169 9 361 1178 7 1275 1179 8 1193 1189 10 289 1223 9 41 1224 9 1602 1225 7 462 1226 3 3676 1227 5 415 1228 8 424 1229 9 1330 1233 2 754

 Number ND NDSLA 1244 3 3713 1255 9 14 1266 8 1153 1277 11 378 1288 7 953 1299 7 743 1334 7 291 1335 9 54 1336 6 391 1337 5 923 1338 5 1928 1339 9 525 1344 7 143 1355 5 1072 1366 7 93 1377 5 3723 1388 8 806 1399 11 193 1445 10 140 1446 12 703 1447 3 1643 1448 7 253 1449 4 812 1455 7 66 1466 6 263 1477 10 701 1488 9 244 1499 7 274 1556 8 2451 1557 6 1139 1558 7 1652 1559 11 1971 1566 6 1917 1577 5 662 1588 13 422 1599 4 1810 1667 12 96 1668 4 137 1669 10 569 1677 6 1076 1688 7 202 1699 6 1081 1778 3 1022 1779 11 49 1788 5 2216 1799 6 1869 1889 3 199 1899 11 688 2234 5 1989 2235 7 72 2236 5 1035 2237 6 921 2238 9 180 2239 9 0 2245 3 7 2246 4 603 2247 5 553 2248 8 1272 2249 9 842 2256 3 1214 2257 6 570 2258 14 586 2259 8 118 2267 4 197 2268 9 154 2269 7 123 2278 5 1567 2279 4 1048 2289 6 664 2334 8 700 2335 9 40 2336 4 2225

 Number ND NDSLA 2337 12 81 2338 8 2654 2339 9 204 2344 10 86 2355 9 112 2366 7 314 2377 10 61 2388 7 1040 2399 12 672 2445 10 216 2446 7 1675 2447 6 1257 2448 7 845 2449 9 130 2455 5 366 2466 4 404 2477 11 841 2488 15 162 2499 6 345 2556 5 904 2557 6 485 2558 9 177 2559 4 891 2566 6 1118 2577 6 773 2588 8 824 2599 9 600 2667 14 386 2668 9 2186 2669 9 579 2677 2 119 2688 1 1473 2699 9 25 2778 6 1110 2779 9 561 2788 9 2959 2799 11 105 2889 9 63 2899 12 413 3345 7 1478 3346 7 158 3347 12 601 3348 3 237 3349 9 273 3356 8 212 3357 9 255 3358 6 1658 3359 8 38 3367 9 937 3368 8 1229 3369 12 89 3378 7 1517 3379 6 131 3389 7 971 3445 12 68 3446 13 433 3447 3 106 3448 7 1469 3449 5 161 3455 2 3124 3466 8 459 3477 7 1253 3488 7 153 3499 7 91 3556 7 986 3557 6 436 3558 9 920 3559 7 8 3566 9 472 3577 5 1471 3588 1 4030 3599 6 1557

 Number ND NDSLA 3667 7 172 3668 4 661 3669 11 590 3677 5 2529 3688 4 1479 3699 7 926 3778 11 2062 3779 5 183 3788 5 185 3799 8 649 3889 4 512 3899 10 125 4456 10 70 4457 7 1101 4458 11 17 4459 6 256 4467 6 727 4468 8 511 4469 6 740 4478 4 821 4479 10 958 4489 11 32 4556 7 3 4557 5 1597 4558 8 128 4559 6 487 4566 6 1483 4577 11 1019 4588 14 529 4599 8 342 4667 9 3932 4668 7 348 4669 10 192 4677 12 489 4688 9 5 4699 3 2617 4778 5 460 4779 13 284 4788 10 225 4799 6 238 4889 7 750 4899 2 240 5567 10 734 5568 8 635 5569 5 1545 5578 6 2026 5579 4 1377 5589 8 230 5667 5 144 5668 10 944 5669 9 147 5677 3 1126 5688 5 516 5699 10 374 5778 10 44 5779 3 1539 5788 4 629 5799 6 611 5889 10 595 5899 11 88 6678 8 67 6679 15 1768 6689 8 420 6778 4 73 6779 2 3106 6788 8 479 6799 13 76 6889 3 3395 6899 12 849 7789 6 717 7889 5 592 7899 6 52

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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 1052 0022 3 1461 0033 4 2311 0044 4 860 0055 3 2 0066 7 411 0077 2 4504 0088 4 856 0099 2 1642

 Number ND NDSLA 1122 1 834 1133 7 538 1144 3 1436 1155 5 630 1166 7 795 1177 8 1278 1188 2 1660 1199 7 755 2233 3 991

 Number ND NDSLA 2244 3 1674 2255 2 1437 2266 4 322 2277 4 186 2288 1 3880 2299 5 878 3344 8 1358 3355 3 2238 3366 3 893

 Number ND NDSLA 3377 5 1120 3388 2 297 3399 3 2167 4455 2 2576 4466 4 985 4477 8 1544 4488 2 3737 4499 4 488 5566 7 901

 Number ND NDSLA 5577 6 56 5588 3 915 5599 4 95 6677 3 339 6688 5 543 6699 5 851 7788 1 313 7799 2 57 8899 6 222

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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 2863 0002 1 4798 0003 1 2250 0004 2 1502 0005 4 1750 0006 3 2903 0007 1 1703 0008 2 932 0009 3 394 0111 1 898 0222 3 1686 0333 5 2110 0444 1 5392 0555 2 246 0666 0 - 0777 3 2909 0888 3 1607 0999 2 2881

 Number ND NDSLA 1112 2 285 1113 4 3253 1114 1 5760 1115 2 3462 1116 0 - 1117 1 3324 1118 2 121 1119 1 4073 1222 1 5266 1333 0 - 1444 3 1680 1555 2 375 1666 5 344 1777 3 2691 1888 2 1389 1999 4 963 2223 2 1831 2224 2 3650

 Number ND NDSLA 2225 5 993 2226 3 1269 2227 3 293 2228 5 709 2229 1 5338 2333 1 5267 2444 2 555 2555 2 1837 2666 4 1679 2777 2 471 2888 3 410 2999 4 3260 3334 3 779 3335 4 258 3336 3 865 3337 0 - 3338 7 439 3339 3 1241

 Number ND NDSLA 3444 5 1619 3555 4 400 3666 1 3415 3777 1 689 3888 2 2173 3999 2 58 4445 2 829 4446 2 2555 4447 3 1326 4448 0 - 4449 3 671 4555 2 1934 4666 1 557 4777 3 1535 4888 0 - 4999 5 1131 5556 1 698 5557 5 84

 Number ND NDSLA 5558 1 634 5559 0 - 5666 1 4111 5777 7 544 5888 5 191 5999 3 599 6667 5 98 6668 0 - 6669 1 4614 6777 4 1594 6888 3 457 6999 1 4107 7778 0 - 7779 4 1728 7888 1 3289 7999 5 747 8889 1 2476 8999 4 1299

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

 Number ND NDSLA 0000 3 257 1111 0 - 2222 0 - 3333 0 - 4444 1 3024 5555 1 4250 6666 2 3640 7777 0 - 8888 0 - 9999 0 -

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