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

# Michigan Lottery Daily 4 Boxes(numbers in any order) Data

 Data updated on Wednesday, June 19, 2013 When playing Michigan Daily 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 Daily 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 MichiganDaily 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; Daily 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 Daily 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 Daily 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.

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

MichiganDaily 4winnig numbers by category
From Saturday, September 01, 1984 to Wednesday, June 19, 2013)

• Total number of draws             = 15253
• Number of non-repeats drawn   = 7722 (50.63%)
• Number of one-repeating drawn = 6598 (43.26%)
• Number of dual-doubles drawn   = 395 (2.59%)
• Number of one-tripled drawn     = 525 (3.44%)
• Number of quadruples drawn      = 13 (0.09%)

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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 38 92 0124 38 240 0125 43 18 0126 32 216 0127 36 727 0128 46 227 0129 30 1464 0134 43 602 0135 22 575 0136 29 1284 0137 42 68 0138 40 116 0139 34 209 0145 41 322 0146 48 205 0147 31 790 0148 45 128 0149 45 163 0156 40 661 0157 41 912 0158 31 99 0159 50 1087 0167 35 524 0168 31 151 0169 29 77 0178 43 102 0179 29 14 0189 36 1073 0234 35 118 0235 41 370 0236 41 666 0237 36 1849 0238 35 352 0239 45 54 0245 38 291 0246 40 551 0247 41 600 0248 39 407 0249 38 127 0256 29 168 0257 32 90 0258 31 893

 Number ND NDSLA 0259 35 746 0267 36 165 0268 39 590 0269 29 241 0278 36 109 0279 40 231 0289 42 720 0345 47 279 0346 40 398 0347 38 62 0348 44 111 0349 42 324 0356 45 181 0357 38 376 0358 33 32 0359 34 709 0367 26 257 0368 42 51 0369 44 112 0378 38 248 0379 31 749 0389 40 350 0456 32 365 0457 29 2194 0458 19 135 0459 44 12 0467 35 255 0468 46 39 0469 32 126 0478 40 34 0479 39 359 0489 38 5 0567 38 946 0568 32 451 0569 37 96 0578 27 81 0579 25 131 0589 40 86 0678 36 346 0679 32 1218 0689 30 354 0789 45 565

 Number ND NDSLA 1234 33 474 1235 33 504 1236 42 454 1237 36 965 1238 43 613 1239 27 362 1245 20 411 1246 39 3 1247 41 80 1248 38 1055 1249 43 212 1256 34 544 1257 46 196 1258 47 26 1259 29 292 1267 38 137 1268 38 141 1269 31 477 1278 34 17 1279 37 48 1289 46 153 1345 38 120 1346 23 957 1347 46 274 1348 30 8 1349 46 541 1356 38 271 1357 34 76 1358 43 622 1359 34 63 1367 32 259 1368 36 72 1369 44 142 1378 41 223 1379 36 29 1389 32 52 1456 29 56 1457 36 1975 1458 39 64 1459 40 467 1467 29 174 1468 38 237

 Number ND NDSLA 1469 47 273 1478 40 479 1479 33 604 1489 39 904 1567 43 606 1568 35 303 1569 42 65 1578 30 1348 1579 34 471 1589 37 33 1678 52 30 1679 44 528 1689 40 37 1789 32 67 2345 38 107 2346 49 280 2347 40 236 2348 52 186 2349 35 1230 2356 25 355 2357 46 691 2358 32 803 2359 31 333 2367 29 872 2368 28 201 2369 45 106 2378 35 335 2379 42 69 2389 52 444 2456 32 184 2457 38 74 2458 46 23 2459 34 754 2467 27 319 2468 27 1313 2469 32 372 2478 33 1042 2479 38 300 2489 28 198 2567 37 172 2568 26 1008 2569 52 482

 Number ND NDSLA 2578 36 1165 2579 34 75 2589 30 9 2678 27 840 2679 44 2840 2689 32 145 2789 29 158 3456 39 412 3457 36 1310 3458 30 204 3459 45 674 3467 44 110 3468 47 59 3469 27 159 3478 34 21 3479 27 13 3489 34 1196 3567 22 288 3568 31 115 3569 49 550 3578 26 160 3579 33 53 3589 48 36 3678 38 831 3679 30 1446 3689 29 230 3789 44 360 4567 27 289 4568 40 45 4569 37 449 4578 33 22 4579 46 193 4589 33 507 4678 31 598 4679 47 281 4689 38 101 4789 37 496 5678 41 443 5679 35 569 5689 36 1268 5789 33 442 6789 43 31

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

 Number ND NDSLA 0012 20 202 0013 23 865 0014 17 567 0015 25 1586 0016 8 1166 0017 22 1993 0018 23 1002 0019 17 494 0023 21 913 0024 12 3233 0025 18 561 0026 18 977 0027 19 1045 0028 16 298 0029 23 79 0034 13 925 0035 21 1054 0036 15 1044 0037 14 1654 0038 15 1065 0039 17 326 0045 26 40 0046 14 1970 0047 17 538 0048 19 313 0049 17 678 0056 26 1376 0057 19 1362 0058 18 239 0059 15 1900 0067 15 733 0068 19 2303 0069 16 400 0078 26 27 0079 20 2049 0089 17 219 0112 24 1655 0113 21 1546 0114 23 424 0115 17 1099 0116 13 1528 0117 21 261 0118 23 170 0119 23 302 0122 21 735 0133 18 694 0144 21 44 0155 16 1380 0166 22 1291 0177 15 886 0188 24 182 0199 26 314 0223 23 410 0224 29 2459 0225 14 862 0226 22 222 0227 21 295 0228 13 797 0229 17 502 0233 17 1935 0244 23 1489 0255 21 19 0266 23 499 0277 21 418 0288 13 562 0299 13 226 0334 13 215 0335 15 930 0336 21 774 0337 18 764 0338 16 2525 0339 22 420

 Number ND NDSLA 0344 14 2335 0355 19 456 0366 12 325 0377 15 305 0388 22 645 0399 16 638 0445 19 387 0446 22 843 0447 14 1782 0448 19 3143 0449 18 1453 0455 27 543 0466 19 10 0477 15 157 0488 13 1612 0499 15 610 0556 18 208 0557 15 260 0558 17 60 0559 23 1014 0566 12 0 0577 19 1343 0588 14 836 0599 21 1584 0667 26 95 0668 21 197 0669 21 465 0677 20 15 0688 19 469 0699 23 35 0778 18 539 0779 27 682 0788 16 2162 0799 22 138 0889 14 1418 0899 14 2453 1123 18 706 1124 19 268 1125 16 20 1126 31 731 1127 21 784 1128 22 161 1129 15 238 1134 27 199 1135 21 249 1136 16 264 1137 19 3032 1138 16 38 1139 27 42 1145 14 1179 1146 15 4882 1147 13 1151 1148 11 3864 1149 27 433 1156 18 722 1157 20 61 1158 22 767 1159 9 25 1167 27 703 1168 15 898 1169 11 2259 1178 20 1609 1179 20 1115 1189 18 1825 1223 18 394 1224 14 783 1225 16 210 1226 17 1602 1227 23 211 1228 13 175 1229 15 520 1233 13 3209

 Number ND NDSLA 1244 19 1931 1255 23 1526 1266 31 1298 1277 14 192 1288 19 1085 1299 24 1202 1334 10 133 1335 13 593 1336 19 294 1337 21 518 1338 24 97 1339 14 834 1344 14 869 1355 18 512 1366 16 243 1377 23 406 1388 15 880 1399 20 818 1445 21 557 1446 17 233 1447 19 378 1448 17 547 1449 22 154 1455 21 487 1466 19 272 1477 15 152 1488 16 1347 1499 18 6 1556 10 148 1557 15 432 1558 22 2614 1559 20 402 1566 19 401 1577 26 11 1588 12 513 1599 18 381 1667 12 3352 1668 14 328 1669 16 16 1677 19 47 1688 11 1498 1699 10 1859 1778 17 1458 1779 18 178 1788 15 695 1799 16 287 1889 21 1023 1899 18 156 2234 22 149 2235 16 348 2236 12 2236 2237 19 1506 2238 20 428 2239 23 615 2245 19 2880 2246 21 716 2247 15 1227 2248 22 94 2249 24 634 2256 14 66 2257 17 318 2258 18 2006 2259 12 942 2267 11 2678 2268 13 1751 2269 17 123 2278 17 89 2279 15 1283 2289 14 740 2334 20 472 2335 23 556 2336 19 1020

 Number ND NDSLA 2337 20 1274 2338 21 568 2339 18 235 2344 15 1242 2355 21 877 2366 28 336 2377 20 299 2388 14 136 2399 21 635 2445 23 533 2446 18 1148 2447 22 607 2448 23 684 2449 13 1762 2455 25 228 2466 13 690 2477 8 1486 2488 17 78 2499 22 379 2556 17 1598 2557 20 1052 2558 19 194 2559 23 772 2566 14 2061 2577 19 1118 2588 23 2438 2599 13 497 2667 20 100 2668 13 1936 2669 19 1200 2677 22 1675 2688 9 269 2699 16 698 2778 16 1952 2779 15 618 2788 22 1293 2799 18 824 2889 21 113 2899 18 91 3345 23 1221 3346 23 416 3347 12 98 3348 21 24 3349 13 356 3356 14 1314 3357 16 232 3358 16 415 3359 13 4308 3367 15 434 3368 14 928 3369 21 1 3378 18 2204 3379 20 270 3389 9 1629 3445 27 1539 3446 18 85 3447 22 724 3448 17 206 3449 13 2403 3455 14 83 3466 16 3125 3477 18 486 3488 19 49 3499 28 1120 3556 11 4673 3557 19 380 3558 11 1075 3559 17 224 3566 18 810 3577 16 762 3588 22 187 3599 21 1171

 Number ND NDSLA 3667 26 509 3668 14 41 3669 22 371 3677 20 566 3688 12 143 3699 18 571 3778 18 28 3779 17 321 3788 25 82 3799 24 419 3889 15 570 3899 29 103 4456 14 461 4457 20 1199 4458 12 104 4459 11 952 4467 12 1303 4468 17 2683 4469 18 1106 4478 24 213 4479 18 1072 4489 3 1086 4556 24 55 4557 19 2521 4558 13 180 4559 15 958 4566 23 653 4577 16 438 4588 19 621 4599 15 225 4667 23 297 4668 29 914 4669 17 421 4677 23 246 4688 13 4 4699 22 2519 4778 19 1079 4779 21 351 4788 16 50 4799 21 1391 4889 14 330 4899 26 473 5567 23 517 5568 10 639 5569 20 1279 5578 15 2539 5579 25 515 5589 20 310 5667 22 250 5668 19 150 5669 20 173 5677 19 870 5688 18 937 5699 20 307 5778 22 807 5779 16 1203 5788 19 57 5799 18 334 5889 20 1499 5899 15 3379 6678 21 944 6679 12 3128 6689 20 577 6778 24 516 6779 22 1332 6788 20 1183 6799 15 7 6889 21 2 6899 15 923 7789 23 130 7889 18 866 7899 21 349

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

 Number ND NDSLA 0011 12 2176 0022 4 2010 0033 11 488 0044 9 813 0055 8 124 0066 3 4287 0077 11 46 0088 5 7654 0099 7 2667

 Number ND NDSLA 1122 6 2687 1133 5 448 1144 10 2275 1155 4 4495 1166 10 1201 1177 9 2074 1188 10 430 1199 8 254 2233 10 579

 Number ND NDSLA 2244 14 2251 2255 6 1037 2266 13 883 2277 7 166 2288 10 492 2299 11 2858 3344 3 9082 3355 13 681 3366 15 2381

 Number ND NDSLA 3377 11 5531 3388 11 183 3399 9 311 4455 10 781 4466 5 1124 4477 7 1836 4488 13 583 4499 6 501 5566 7 5890

 Number ND NDSLA 5577 12 1897 5588 7 792 5599 11 1433 6677 11 588 6688 5 1831 6699 8 132 7788 4 969 7799 20 475 8899 4 3340

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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 1522 0002 3 649 0003 5 147 0004 7 1256 0005 8 1282 0006 5 2184 0007 4 43 0008 2 1760 0009 9 1568 0111 7 6599 0222 9 1523 0333 3 7446 0444 3 3731 0555 6 1366 0666 4 1028 0777 3 340 0888 6 921 0999 7 6197

 Number ND NDSLA 1112 5 2861 1113 6 2246 1114 8 2820 1115 5 162 1116 9 1643 1117 5 587 1118 6 1053 1119 15 2079 1222 9 563 1333 8 3388 1444 6 3680 1555 4 1441 1666 1 14986 1777 7 389 1888 3 4834 1999 4 4729 2223 2 1693 2224 1 12329

 Number ND NDSLA 2225 5 3336 2226 1 14248 2227 5 3742 2228 5 9374 2229 3 258 2333 4 4867 2444 8 1149 2555 8 437 2666 9 582 2777 8 3016 2888 5 5219 2999 10 500 3334 3 1497 3335 7 1021 3336 7 3838 3337 5 155 3338 6 2442 3339 4 739

 Number ND NDSLA 3444 6 815 3555 7 936 3666 6 140 3777 2 6319 3888 7 1618 3999 7 1316 4445 2 7848 4446 4 532 4447 5 2536 4448 7 537 4449 6 826 4555 7 185 4666 8 3896 4777 6 3958 4888 3 6758 4999 10 2722 5556 3 244 5557 9 3877

 Number ND NDSLA 5558 6 591 5559 8 218 5666 4 5055 5777 6 5053 5888 11 2510 5999 4 4949 6667 5 1426 6668 8 624 6669 7 3706 6777 5 2750 6888 4 4019 6999 7 8379 7778 3 9146 7779 13 1560 7888 5 3072 7999 10 5262 8889 5 495 8999 6 891

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

 Number ND NDSLA 0000 0 - 1111 1 5936 2222 1 7594 3333 1 5532 4444 1 10591 5555 4 4660 6666 1 5646 7777 2 4765 8888 1 10132 9999 1 9318

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