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

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

 Data updated on Tuesday, December 10, 2013 When playing Maryland 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 MarylandPick 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.

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

MarylandPick 4winnig numbers by category
From Friday, April 08, 1983 to Tuesday, December 10, 2013)

• Total number of draws             = 17004
• Number of non-repeats drawn   = 8563 (50.36%)
• Number of one-repeating drawn = 7356 (43.26%)
• Number of dual-doubles drawn   = 465 (2.73%)
• Number of one-tripled drawn     = 598 (3.52%)
• Number of quadruples drawn      = 22 (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 54 436 0124 43 115 0125 39 162 0126 35 57 0127 33 586 0128 30 174 0129 32 276 0134 40 131 0135 38 1110 0136 47 992 0137 38 14 0138 32 630 0139 47 552 0145 43 37 0146 37 246 0147 42 38 0148 48 184 0149 44 123 0156 28 648 0157 43 441 0158 30 232 0159 43 30 0167 43 624 0168 45 25 0169 48 65 0178 37 40 0179 44 339 0189 41 805 0234 40 111 0235 36 492 0236 37 224 0237 28 292 0238 37 265 0239 46 435 0245 35 28 0246 37 864 0247 41 308 0248 32 74 0249 47 170 0256 41 43 0257 40 820 0258 42 23

 Number ND NDSLA 0259 46 31 0267 40 1096 0268 30 640 0269 57 596 0278 51 451 0279 46 12 0289 30 577 0345 33 881 0346 45 166 0347 53 80 0348 42 315 0349 34 515 0356 40 1023 0357 40 194 0358 40 208 0359 42 90 0367 48 465 0368 45 143 0369 48 9 0378 41 485 0379 38 795 0389 42 364 0456 39 1431 0457 43 95 0458 44 299 0459 32 44 0467 37 694 0468 51 27 0469 42 5 0478 37 3 0479 41 116 0489 30 844 0567 39 271 0568 34 382 0569 40 119 0578 38 346 0579 44 112 0589 45 649 0678 42 213 0679 51 429 0689 41 138 0789 43 262

 Number ND NDSLA 1234 42 235 1235 32 544 1236 42 24 1237 36 327 1238 47 185 1239 39 158 1245 38 341 1246 41 473 1247 38 84 1248 45 149 1249 29 147 1256 53 1 1257 47 237 1258 50 75 1259 23 442 1267 37 875 1268 35 36 1269 47 384 1278 40 603 1279 35 69 1289 36 625 1345 44 421 1346 53 546 1347 51 117 1348 35 26 1349 41 1062 1356 41 806 1357 41 252 1358 39 183 1359 35 286 1367 42 779 1368 39 200 1369 52 409 1378 46 631 1379 43 196 1389 42 736 1456 40 85 1457 35 238 1458 63 61 1459 35 233 1467 42 302 1468 36 68

 Number ND NDSLA 1469 38 614 1478 44 483 1479 48 13 1489 42 370 1567 42 122 1568 37 340 1569 41 526 1578 34 197 1579 42 727 1589 27 836 1678 30 774 1679 38 67 1689 50 338 1789 41 413 2345 42 245 2346 35 70 2347 37 110 2348 39 510 2349 42 62 2356 48 217 2357 36 1224 2358 40 288 2359 40 132 2367 41 50 2368 42 195 2369 49 66 2378 45 192 2379 29 623 2389 42 331 2456 32 53 2457 49 718 2458 33 1146 2459 36 293 2467 45 410 2468 50 477 2469 50 72 2478 43 305 2479 42 218 2489 33 257 2567 41 628 2568 29 514 2569 31 1428

 Number ND NDSLA 2578 48 528 2579 46 398 2589 39 562 2678 38 1453 2679 41 22 2689 39 1432 2789 49 198 3456 31 300 3457 48 353 3458 37 895 3459 38 205 3467 48 1386 3468 47 89 3469 40 229 3478 45 481 3479 45 0 3489 31 1983 3567 48 190 3568 39 309 3569 40 177 3578 43 658 3579 28 1552 3589 28 35 3678 53 16 3679 31 797 3689 38 17 3789 43 20 4567 43 590 4568 38 21 4569 44 6 4578 37 236 4579 48 10 4589 44 73 4678 40 373 4679 45 33 4689 36 940 4789 44 489 5678 45 568 5679 45 838 5689 50 500 5789 48 1353 6789 46 347

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

 Number ND NDSLA 0012 23 1847 0013 17 650 0014 20 1005 0015 24 493 0016 19 259 0017 24 369 0018 21 82 0019 13 1585 0023 30 1126 0024 23 1937 0025 22 749 0026 19 1032 0027 15 748 0028 21 1119 0029 27 160 0034 14 1960 0035 17 59 0036 25 760 0037 25 541 0038 26 1762 0039 20 699 0045 20 1075 0046 26 1861 0047 21 144 0048 19 3261 0049 14 1060 0056 22 374 0057 28 509 0058 18 1503 0059 22 164 0067 20 1175 0068 16 120 0069 20 105 0078 20 81 0079 20 1145 0089 30 472 0112 23 3583 0113 18 186 0114 21 1415 0115 23 888 0116 19 4689 0117 21 227 0118 20 1071 0119 16 403 0122 23 345 0133 17 636 0144 22 2615 0155 27 52 0166 20 2085 0177 18 349 0188 20 107 0199 18 713 0223 22 818 0224 16 4552 0225 19 981 0226 13 1135 0227 22 961 0228 21 434 0229 21 152 0233 19 479 0244 28 337 0255 14 136 0266 18 685 0277 32 171 0288 14 2707 0299 20 503 0334 23 55 0335 13 1095 0336 17 1371 0337 20 287 0338 23 42 0339 22 396

 Number ND NDSLA 0344 18 993 0355 23 228 0366 20 45 0377 25 664 0388 25 450 0399 18 1205 0445 17 153 0446 35 1262 0447 23 129 0448 28 202 0449 20 794 0455 23 1167 0466 19 1404 0477 23 15 0488 15 604 0499 21 344 0556 22 998 0557 20 328 0558 19 83 0559 13 1979 0566 16 139 0577 25 378 0588 18 2010 0599 24 281 0667 37 365 0668 23 721 0669 20 569 0677 24 1015 0688 19 644 0699 18 244 0778 26 264 0779 15 258 0788 16 216 0799 16 1594 0889 22 2399 0899 15 133 1123 23 97 1124 21 431 1125 23 125 1126 26 937 1127 15 621 1128 23 995 1129 16 290 1134 14 277 1135 29 99 1136 25 54 1137 10 1192 1138 17 2164 1139 17 2203 1145 26 566 1146 20 91 1147 23 519 1148 17 786 1149 14 587 1156 24 1115 1157 27 871 1158 15 1347 1159 20 3297 1167 26 1688 1168 32 455 1169 18 558 1178 25 60 1179 25 127 1189 13 565 1223 16 1800 1224 20 145 1225 25 785 1226 19 316 1227 12 2017 1228 17 904 1229 13 2532 1233 16 535

 Number ND NDSLA 1244 20 934 1255 28 913 1266 18 317 1277 20 1094 1288 19 180 1299 21 1091 1334 20 1301 1335 21 2137 1336 24 325 1337 21 918 1338 27 737 1339 20 926 1344 20 242 1355 19 924 1366 13 211 1377 26 912 1388 22 894 1399 16 551 1445 16 343 1446 17 506 1447 13 476 1448 23 1178 1449 12 1631 1455 18 389 1466 17 671 1477 22 134 1488 17 745 1499 25 100 1556 25 437 1557 14 1108 1558 17 11 1559 17 1672 1566 23 86 1577 19 1570 1588 12 1548 1599 19 1210 1667 23 759 1668 26 447 1669 9 3781 1677 19 88 1688 10 1183 1699 24 947 1778 17 376 1779 26 330 1788 23 560 1799 27 350 1889 25 616 1899 18 3504 2234 13 3426 2235 18 4074 2236 23 1081 2237 22 29 2238 28 531 2239 22 58 2245 20 1529 2246 14 56 2247 24 529 2248 26 1201 2249 19 2845 2256 18 1088 2257 20 1152 2258 24 256 2259 20 469 2267 23 883 2268 18 523 2269 26 191 2278 27 94 2279 16 2616 2289 24 253 2334 26 193 2335 18 296 2336 24 1783

 Number ND NDSLA 2337 19 1919 2338 18 513 2339 16 466 2344 20 3137 2355 18 629 2366 17 261 2377 17 285 2388 17 909 2399 20 534 2445 24 231 2446 18 352 2447 16 303 2448 22 4 2449 24 230 2455 22 480 2466 22 163 2477 25 357 2488 20 291 2499 18 1046 2556 23 2089 2557 33 8 2558 25 113 2559 25 665 2566 26 118 2577 23 1591 2588 19 49 2599 18 1221 2667 21 93 2668 25 1510 2669 18 1346 2677 20 1891 2688 21 175 2699 21 755 2778 22 733 2779 32 732 2788 18 106 2799 9 1187 2889 24 1362 2899 19 776 3345 18 103 3346 14 19 3347 17 176 3348 21 521 3349 23 758 3356 21 223 3357 25 2044 3358 21 561 3359 31 135 3367 19 1687 3368 31 189 3369 20 207 3378 24 677 3379 25 98 3389 20 114 3445 17 7 3446 23 688 3447 16 240 3448 19 458 3449 26 411 3455 15 3308 3466 17 775 3477 13 179 3488 18 846 3499 19 1164 3556 21 474 3557 25 642 3558 16 462 3559 20 847 3566 12 351 3577 23 657 3588 17 301 3599 18 51

 Number ND NDSLA 3667 23 971 3668 18 1721 3669 13 2584 3677 22 157 3688 20 41 3699 20 461 3778 16 319 3779 18 819 3788 20 611 3799 19 2667 3889 24 104 3899 18 511 4456 26 314 4457 22 188 4458 23 371 4459 20 723 4467 23 613 4468 19 267 4469 21 1233 4478 21 537 4479 19 151 4489 30 64 4556 20 225 4557 19 39 4558 16 368 4559 24 425 4566 20 1245 4577 17 756 4588 13 1573 4599 23 1457 4667 25 329 4668 20 212 4669 17 1030 4677 22 1716 4688 21 1465 4699 27 708 4778 19 580 4779 22 47 4788 18 324 4799 22 387 4889 26 600 4899 16 643 5567 22 360 5568 19 1629 5569 17 1480 5578 17 812 5579 14 2037 5589 19 920 5667 18 1422 5668 11 3200 5669 17 34 5677 22 1922 5688 23 102 5699 26 424 5778 13 1675 5779 14 124 5788 17 530 5799 24 1999 5889 17 892 5899 22 939 6678 23 1212 6679 13 1491 6689 16 1456 6778 22 78 6779 20 201 6788 21 468 6799 24 1737 6889 30 553 6899 26 209 7789 21 167 7889 16 313 7899 22 1310

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

 Number ND NDSLA 0011 9 239 0022 10 3863 0033 8 415 0044 8 575 0055 11 2101 0066 12 1493 0077 11 2756 0088 10 1507 0099 12 2995

 Number ND NDSLA 1122 18 108 1133 11 2304 1144 11 3410 1155 9 394 1166 16 222 1177 12 4809 1188 6 2744 1199 7 4903 2233 11 964

 Number ND NDSLA 2244 13 362 2255 8 860 2266 6 1128 2277 6 1052 2288 12 280 2299 8 1832 3344 18 1148 3355 7 2760 3366 4 4965

 Number ND NDSLA 3377 6 92 3388 10 527 3399 16 1879 4455 7 602 4466 5 4367 4477 16 467 4488 7 608 4499 11 2859 5566 15 4354

 Number ND NDSLA 5577 8 2199 5588 9 1916 5599 8 2763 6677 11 1608 6688 12 1450 6699 14 3713 7788 9 420 7799 13 270 8899 14 4588

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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 3904 0002 6 5555 0003 4 5295 0004 8 5417 0005 5 3419 0006 4 1103 0007 11 417 0008 10 872 0009 8 1020 0111 2 7126 0222 5 354 0333 8 3244 0444 4 1054 0555 7 1603 0666 9 3111 0777 10 632 0888 9 4949 0999 4 249

 Number ND NDSLA 1112 3 9957 1113 14 1138 1114 7 986 1115 7 1989 1116 7 2664 1117 10 923 1118 5 6157 1119 6 1787 1222 11 181 1333 1 6081 1444 4 7374 1555 8 633 1666 11 6192 1777 6 1395 1888 5 4890 1999 4 2599 2223 6 2535 2224 5 987

 Number ND NDSLA 2225 12 765 2226 4 2704 2227 18 525 2228 10 471 2229 7 2453 2333 7 3943 2444 5 2438 2555 7 4967 2666 5 4356 2777 9 605 2888 4 2328 2999 8 1105 3334 6 725 3335 6 1502 3336 6 1350 3337 8 48 3338 4 3028 3339 6 140

 Number ND NDSLA 3444 4 6594 3555 7 1048 3666 8 63 3777 7 5668 3888 2 7151 3999 5 2015 4445 11 1602 4446 11 2694 4447 7 1843 4448 6 4598 4449 7 342 4555 3 1282 4666 10 169 4777 8 76 4888 5 2897 4999 3 2511 5556 7 2178 5557 5 1710

 Number ND NDSLA 5558 3 2144 5559 3 4020 5666 7 2005 5777 6 392 5888 12 2477 5999 5 3876 6667 5 1275 6668 3 3964 6669 5 322 6777 6 7207 6888 8 1172 6999 8 3854 7778 11 2088 7779 6 491 7888 6 1802 7999 9 863 8889 5 1826 8999 3 10335

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

 Number ND NDSLA 0000 2 2823 1111 4 359 2222 2 203 3333 4 7632 4444 4 2036 5555 1 13621 6666 1 11390 7777 1 7926 8888 2 2653 9999 1 5062

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