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

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

 Data updated on Wednesday, December 11, 2013 When playing Missouri 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 MissouriPick 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.

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

MissouriPick 4winnig numbers by category
From Monday, November 09, 1998 to Wednesday, December 11, 2013)

• Total number of draws             = 8935
• Number of non-repeats drawn   = 4555 (50.98%)
• Number of one-repeating drawn = 3808 (42.62%)
• Number of dual-doubles drawn   = 237 (2.65%)
• Number of one-tripled drawn     = 329 (3.68%)
• Number of quadruples drawn      = 6 (0.07%)

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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 21 433 0124 28 44 0125 16 420 0126 29 218 0127 26 131 0128 18 133 0129 27 173 0134 17 517 0135 27 521 0136 23 213 0137 20 1392 0138 25 155 0139 27 120 0145 20 428 0146 25 15 0147 17 323 0148 26 221 0149 26 108 0156 23 200 0157 14 242 0158 19 1079 0159 16 158 0167 24 871 0168 18 717 0169 18 324 0178 15 104 0179 34 43 0189 24 71 0234 21 273 0235 20 313 0236 14 723 0237 29 7 0238 21 236 0239 28 451 0245 14 83 0246 17 230 0247 23 751 0248 25 89 0249 17 9 0256 19 176 0257 26 121 0258 29 208

 Number ND NDSLA 0259 27 930 0267 23 798 0268 15 78 0269 9 537 0278 18 170 0279 19 344 0289 18 21 0345 28 540 0346 19 431 0347 23 206 0348 19 1750 0349 27 70 0356 12 478 0357 23 378 0358 18 861 0359 24 186 0367 22 164 0368 15 524 0369 18 389 0378 26 212 0379 17 132 0389 24 470 0456 24 8 0457 16 562 0458 25 308 0459 17 648 0467 22 372 0468 23 474 0469 29 19 0478 20 239 0479 14 581 0489 23 509 0567 22 234 0568 24 201 0569 21 253 0578 23 1245 0579 19 310 0589 25 481 0678 26 147 0679 17 883 0689 19 333 0789 23 564

 Number ND NDSLA 1234 17 347 1235 22 98 1236 13 1307 1237 20 362 1238 28 244 1239 20 33 1245 18 339 1246 19 1125 1247 22 817 1248 27 10 1249 29 306 1256 32 28 1257 25 18 1258 22 462 1259 21 49 1267 24 1401 1268 23 210 1269 16 494 1278 21 37 1279 31 146 1289 34 82 1345 20 51 1346 19 291 1347 23 472 1348 27 25 1349 22 459 1356 23 373 1357 20 835 1358 25 75 1359 18 761 1367 23 72 1368 20 415 1369 19 292 1378 22 398 1379 16 1122 1389 21 65 1456 32 607 1457 19 69 1458 17 223 1459 30 143 1467 19 139 1468 29 493

 Number ND NDSLA 1469 14 0 1478 23 40 1479 16 309 1489 26 235 1567 27 68 1568 19 374 1569 11 1571 1578 20 216 1579 19 286 1589 28 46 1678 23 194 1679 22 280 1689 17 1053 1789 26 32 2345 21 732 2346 25 56 2347 20 447 2348 18 341 2349 22 697 2356 23 336 2357 19 165 2358 23 274 2359 21 188 2367 15 63 2368 21 767 2369 20 3 2378 29 355 2379 21 62 2389 23 464 2456 28 430 2457 18 368 2458 22 263 2459 24 240 2467 16 1528 2468 15 190 2469 14 769 2478 22 321 2479 23 440 2489 18 903 2567 13 1208 2568 16 541 2569 18 595

 Number ND NDSLA 2578 23 48 2579 28 364 2589 19 436 2678 25 1695 2679 21 77 2689 24 289 2789 26 690 3456 21 102 3457 25 643 3458 21 144 3459 19 287 3467 22 109 3468 19 896 3469 28 202 3478 18 363 3479 19 36 3489 30 171 3567 23 112 3568 21 599 3569 26 224 3578 24 11 3579 23 39 3589 21 17 3678 30 111 3679 22 27 3689 23 182 3789 23 34 4567 24 60 4568 33 151 4569 15 449 4578 22 16 4579 23 22 4589 20 93 4678 18 1340 4679 15 199 4689 14 222 4789 30 99 5678 24 790 5679 27 359 5689 14 821 5789 19 548 6789 24 38

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

 Number ND NDSLA 0012 8 974 0013 17 777 0014 21 2163 0015 13 567 0016 4 353 0017 11 1442 0018 11 395 0019 12 750 0023 12 1954 0024 14 303 0025 18 358 0026 8 505 0027 6 2476 0028 14 73 0029 9 394 0034 7 319 0035 9 3289 0036 14 1246 0037 10 788 0038 12 1798 0039 11 174 0045 9 58 0046 7 2764 0047 7 679 0048 13 437 0049 13 159 0056 14 518 0057 9 1698 0058 6 2383 0059 15 452 0067 17 96 0068 14 5 0069 15 465 0078 11 156 0079 12 1112 0089 13 544 0112 9 1313 0113 11 123 0114 13 87 0115 15 1518 0116 13 380 0117 11 1555 0118 11 570 0119 16 557 0122 19 649 0133 9 396 0144 6 262 0155 6 662 0166 13 439 0177 11 739 0188 11 116 0199 7 84 0223 14 128 0224 16 181 0225 18 184 0226 10 337 0227 18 678 0228 16 157 0229 10 744 0233 12 2159 0244 7 4739 0255 13 533 0266 7 189 0277 10 1056 0288 6 594 0299 10 1545 0334 6 2496 0335 10 258 0336 7 2999 0337 13 41 0338 14 161 0339 9 508

 Number ND NDSLA 0344 10 1202 0355 6 1418 0366 3 498 0377 13 622 0388 9 2005 0399 14 106 0445 14 578 0446 12 305 0447 7 275 0448 15 576 0449 16 486 0455 10 745 0466 8 1072 0477 12 241 0488 14 114 0499 18 824 0556 10 1557 0557 12 153 0558 12 909 0559 10 2609 0566 14 256 0577 14 683 0588 9 1771 0599 8 2929 0667 10 393 0668 12 1437 0669 10 325 0677 12 300 0688 13 1592 0699 14 585 0778 13 862 0779 12 582 0788 11 1129 0799 7 1070 0889 4 226 0899 8 613 1123 9 489 1124 5 179 1125 13 2591 1126 9 2515 1127 6 1319 1128 6 972 1129 11 879 1134 15 935 1135 6 506 1136 9 1099 1137 10 1840 1138 11 551 1139 10 366 1145 13 2 1146 11 834 1147 10 385 1148 4 97 1149 18 122 1156 14 50 1157 9 530 1158 10 1158 1159 12 792 1167 12 314 1168 11 272 1169 12 61 1178 12 1824 1179 8 279 1189 13 958 1223 7 92 1224 8 154 1225 13 81 1226 9 238 1227 11 113 1228 4 1456 1229 12 590 1233 4 6607

 Number ND NDSLA 1244 16 719 1255 9 927 1266 12 1231 1277 13 29 1288 7 954 1299 10 735 1334 6 937 1335 7 741 1336 15 401 1337 13 469 1338 11 76 1339 10 136 1344 9 596 1355 11 20 1366 5 1284 1377 12 1949 1388 10 2050 1399 8 2563 1445 12 312 1446 6 1098 1447 20 247 1448 9 845 1449 10 432 1455 17 646 1466 11 928 1477 11 317 1488 12 869 1499 12 620 1556 9 257 1557 9 1470 1558 14 392 1559 8 1532 1566 11 30 1577 11 409 1588 14 31 1599 12 1807 1667 11 490 1668 8 475 1669 15 875 1677 8 100 1688 13 140 1699 14 1607 1778 11 584 1779 8 1194 1788 11 858 1799 4 1009 1889 12 615 1899 6 125 2234 13 6 2235 17 53 2236 10 460 2237 8 885 2238 8 1779 2239 8 453 2245 17 920 2246 10 1353 2247 18 24 2248 9 1363 2249 10 180 2256 8 1348 2257 13 225 2258 12 665 2259 13 847 2267 7 54 2268 6 3237 2269 7 718 2278 11 4 2279 12 681 2289 16 1174 2334 13 115 2335 10 105 2336 6 1455

 Number ND NDSLA 2337 13 207 2338 9 3440 2339 6 152 2344 9 1195 2355 8 1475 2366 4 1015 2377 11 145 2388 8 1281 2399 7 2192 2445 7 600 2446 8 964 2447 7 2684 2448 7 85 2449 8 673 2455 12 416 2466 6 2661 2477 12 516 2488 7 266 2499 11 13 2556 8 435 2557 11 616 2558 12 573 2559 14 532 2566 10 633 2577 8 715 2588 7 2047 2599 7 946 2667 15 233 2668 8 384 2669 7 2528 2677 7 268 2688 10 74 2699 11 497 2778 9 2189 2779 6 167 2788 16 713 2799 7 528 2889 11 1514 2899 10 2682 3345 7 693 3346 9 90 3347 12 110 3348 9 2188 3349 10 252 3356 14 948 3357 7 5433 3358 11 426 3359 15 967 3367 9 841 3368 10 488 3369 14 762 3378 8 45 3379 15 282 3389 8 877 3445 11 427 3446 9 826 3447 5 260 3448 9 270 3449 9 1235 3455 10 129 3466 6 342 3477 7 47 3488 16 379 3499 8 4340 3556 14 1215 3557 14 1793 3558 7 2291 3559 7 807 3566 12 1343 3577 12 52 3588 13 1163 3599 15 91

 Number ND NDSLA 3667 13 294 3668 18 203 3669 12 326 3677 12 94 3688 17 1263 3699 10 1317 3778 15 285 3779 12 661 3788 9 634 3799 12 3150 3889 7 35 3899 20 178 4456 15 421 4457 6 1184 4458 12 1841 4459 9 1065 4467 9 789 4468 9 95 4469 9 301 4478 13 480 4479 4 3925 4489 12 318 4556 12 483 4557 7 838 4558 9 611 4559 8 192 4566 13 365 4577 7 1188 4588 10 1 4599 9 1135 4667 7 117 4668 9 67 4669 12 849 4677 12 1622 4688 20 42 4699 8 839 4778 14 403 4779 7 809 4788 13 635 4799 9 527 4889 9 293 4899 7 119 5567 11 417 5568 17 1648 5569 10 1238 5578 8 657 5579 6 411 5589 13 444 5667 12 2110 5668 9 1071 5669 8 229 5677 5 3187 5688 6 3878 5699 15 283 5778 5 752 5779 4 994 5788 13 655 5799 9 624 5889 14 248 5899 7 2423 6678 8 118 6679 8 1128 6689 15 127 6778 12 945 6779 12 1337 6788 15 589 6799 9 1090 6889 9 785 6899 15 12 7789 8 1160 7889 10 191 7899 11 514

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

 Number ND NDSLA 0011 5 801 0022 4 1214 0033 5 1579 0044 6 794 0055 6 535 0066 4 1405 0077 8 836 0088 5 547 0099 3 1819

 Number ND NDSLA 1122 9 103 1133 3 999 1144 10 495 1155 4 2666 1166 4 754 1177 4 2688 1188 2 2553 1199 9 680 2233 5 1411

 Number ND NDSLA 2244 2 5219 2255 7 956 2266 5 1539 2277 2 1590 2288 6 484 2299 4 2898 3344 4 810 3355 3 1529 3366 5 844

 Number ND NDSLA 3377 5 1371 3388 7 962 3399 6 3454 4455 11 1052 4466 6 614 4477 3 397 4488 3 2498 4499 7 360 5566 8 311

 Number ND NDSLA 5577 8 1274 5588 5 763 5599 3 2616 6677 4 3340 6688 5 2607 6699 6 86 7788 4 284 7799 6 3326 8899 6 169

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

 Number ND NDSLA 0001 4 855 0002 3 1723 0003 3 4365 0004 1 5973 0005 3 3691 0006 5 1171 0007 6 138 0008 4 1292 0009 3 4378 0111 8 1218 0222 3 1630 0333 2 1113 0444 1 1243 0555 3 3854 0666 5 307 0777 2 7282 0888 3 6187 0999 1 2685

 Number ND NDSLA 1112 4 2608 1113 1 5586 1114 5 934 1115 6 265 1116 5 865 1117 3 3122 1118 3 5808 1119 6 973 1222 2 504 1333 3 3226 1444 4 7961 1555 2 1101 1666 3 6934 1777 4 3248 1888 4 142 1999 4 2985 2223 3 3138 2224 8 177

 Number ND NDSLA 2225 4 1576 2226 3 1057 2227 4 3564 2228 9 1230 2229 8 1474 2333 3 59 2444 2 7444 2555 2 2235 2666 5 130 2777 1 917 2888 3 3631 2999 2 387 3334 3 783 3335 8 243 3336 2 3363 3337 3 828 3338 5 1362 3339 4 696

 Number ND NDSLA 3444 1 4016 3555 1 278 3666 4 1167 3777 2 388 3888 5 791 3999 4 1244 4445 2 7410 4446 5 644 4447 5 4211 4448 3 2122 4449 3 876 4555 1 4841 4666 5 126 4777 5 3007 4888 4 1564 4999 5 1822 5556 7 758 5557 3 412

 Number ND NDSLA 5558 2 539 5559 3 57 5666 6 499 5777 3 1914 5888 5 3495 5999 3 2329 6667 8 14 6668 2 137 6669 3 1400 6777 3 3990 6888 6 531 6999 5 269 7778 2 970 7779 4 1707 7888 3 2635 7999 1 1359 8889 3 4566 8999 1 5203

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

 Number ND NDSLA 0000 1 196 1111 0 - 2222 0 - 3333 0 - 4444 0 - 5555 2 2529 6666 1 2428 7777 0 - 8888 2 88 9999 0 -

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