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

# District Of Columbia Lottery DC-4 Boxes(numbers in any order) Data

 Data updated on Friday, May 24, 2013 When playing District Of Columbia DC-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 DC-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 District Of ColumbiaDC-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; DC-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 DC-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 DC-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.

## District Of ColumbiaDC-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 District Of ColumbiaDC-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 District Of ColumbiaDC-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 District Of ColumbiaDC-4 Boxes (Combos) Analysis for a more elaborate analysis of boxes.

District Of ColumbiaDC-4winnig numbers by category
From Monday, March 25, 1985 to Friday, May 24, 2013)

• Total number of draws             = 16982
• Number of non-repeats drawn   = 8564 (50.43%)
• Number of one-repeating drawn = 7281 (42.87%)
• Number of dual-doubles drawn   = 470 (2.77%)
• Number of one-tripled drawn     = 648 (3.82%)
• Number of quadruples drawn      = 19 (0.11%)

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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 46 706 0124 45 47 0125 54 228 0126 47 595 0127 30 849 0128 58 289 0129 50 270 0134 39 551 0135 42 253 0136 27 212 0137 46 971 0138 48 560 0139 37 507 0145 32 222 0146 46 58 0147 35 891 0148 32 247 0149 41 909 0156 30 2375 0157 32 839 0158 39 254 0159 41 806 0167 43 481 0168 47 106 0169 23 11 0178 34 2105 0179 41 134 0189 39 594 0234 40 650 0235 43 95 0236 40 195 0237 34 648 0238 30 423 0239 40 446 0245 41 148 0246 45 480 0247 38 34 0248 50 131 0249 37 257 0256 45 392 0257 36 981 0258 42 1130

 Number ND NDSLA 0259 48 245 0267 45 1548 0268 36 48 0269 37 557 0278 51 108 0279 50 211 0289 27 187 0345 46 164 0346 40 422 0347 35 56 0348 44 349 0349 35 1436 0356 40 79 0357 43 141 0358 39 552 0359 40 236 0367 40 361 0368 43 547 0369 42 178 0378 48 138 0379 32 101 0389 39 291 0456 48 150 0457 53 1 0458 39 489 0459 36 109 0467 32 585 0468 48 514 0469 35 889 0478 39 558 0479 52 297 0489 44 203 0567 51 181 0568 34 331 0569 34 224 0578 42 1592 0579 52 655 0589 36 22 0678 36 31 0679 43 98 0689 34 828 0789 44 44

 Number ND NDSLA 1234 37 682 1235 31 53 1236 54 744 1237 37 391 1238 36 466 1239 48 846 1245 54 587 1246 42 410 1247 48 4 1248 42 107 1249 44 892 1256 40 749 1257 45 676 1258 41 147 1259 31 142 1267 48 388 1268 39 81 1269 42 189 1278 42 77 1279 37 41 1289 29 1394 1345 48 685 1346 41 162 1347 36 325 1348 31 675 1349 49 260 1356 40 194 1357 33 476 1358 29 32 1359 48 500 1367 36 1691 1368 41 296 1369 39 18 1378 32 579 1379 45 186 1389 46 755 1456 49 73 1457 44 937 1458 54 193 1459 33 202 1467 38 70 1468 27 1664

 Number ND NDSLA 1469 53 252 1478 35 143 1479 36 309 1489 33 770 1567 49 886 1568 41 205 1569 42 627 1578 37 746 1579 37 239 1589 51 468 1678 34 535 1679 44 546 1689 55 386 1789 41 1352 2345 34 365 2346 37 2 2347 43 317 2348 47 71 2349 32 259 2356 42 848 2357 42 220 2358 42 957 2359 42 440 2367 45 175 2368 37 484 2369 47 227 2378 46 355 2379 47 86 2389 30 548 2456 41 694 2457 33 1161 2458 44 206 2459 50 64 2467 44 531 2468 38 321 2469 34 37 2478 39 261 2479 32 328 2489 30 21 2567 37 787 2568 43 1666 2569 45 1123

 Number ND NDSLA 2578 40 724 2579 49 26 2589 46 13 2678 36 66 2679 38 748 2689 39 110 2789 39 1745 3456 44 28 3457 43 122 3458 37 85 3459 40 45 3467 40 304 3468 41 105 3469 34 229 3478 27 1000 3479 51 80 3489 38 315 3567 46 46 3568 34 1456 3569 44 8 3578 45 599 3579 43 68 3589 40 738 3678 50 734 3679 45 774 3689 34 62 3789 31 451 4567 47 10 4568 48 435 4569 40 76 4578 35 359 4579 48 604 4589 36 1555 4678 57 6 4679 52 354 4689 39 377 4789 37 172 5678 37 427 5679 34 49 5689 49 235 5789 34 199 6789 43 183

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

 Number ND NDSLA 0012 24 121 0013 24 91 0014 22 1185 0015 18 1190 0016 23 293 0017 20 214 0018 24 286 0019 19 27 0023 27 292 0024 21 52 0025 21 1766 0026 16 90 0027 19 1157 0028 18 788 0029 18 503 0034 20 385 0035 16 834 0036 20 1145 0037 30 313 0038 18 940 0039 15 337 0045 21 662 0046 23 14 0047 26 1196 0048 19 1309 0049 29 936 0056 21 411 0057 15 1222 0058 17 4587 0059 21 569 0067 19 219 0068 20 573 0069 12 550 0078 22 656 0079 18 768 0089 25 256 0112 19 333 0113 28 255 0114 18 1029 0115 36 207 0116 17 635 0117 30 50 0118 20 1671 0119 26 88 0122 22 372 0133 21 249 0144 17 1428 0155 16 1371 0166 21 279 0177 19 1679 0188 23 1034 0199 17 438 0223 19 30 0224 16 990 0225 12 1864 0226 15 1409 0227 18 1651 0228 19 782 0229 23 1899 0233 18 169 0244 25 506 0255 22 1500 0266 19 2011 0277 22 155 0288 20 2801 0299 19 1186 0334 19 160 0335 17 240 0336 26 2118 0337 16 353 0338 19 564 0339 19 2639

 Number ND NDSLA 0344 20 1010 0355 25 1129 0366 32 360 0377 25 1415 0388 25 301 0399 19 225 0445 19 149 0446 18 1122 0447 26 269 0448 22 1413 0449 14 524 0455 25 78 0466 18 166 0477 22 305 0488 18 683 0499 27 510 0556 22 1518 0557 27 1300 0558 13 907 0559 16 1003 0566 21 16 0577 19 124 0588 31 12 0599 15 483 0667 17 716 0668 24 701 0669 18 713 0677 22 154 0688 19 1483 0699 27 1408 0778 26 1708 0779 19 695 0788 20 1392 0799 21 197 0889 13 419 0899 15 1016 1123 9 33 1124 20 3764 1125 18 2077 1126 19 318 1127 18 1614 1128 25 2217 1129 13 234 1134 17 72 1135 23 554 1136 24 116 1137 12 431 1138 20 721 1139 20 368 1145 24 60 1146 23 690 1147 21 902 1148 17 1275 1149 22 287 1156 19 93 1157 22 1572 1158 15 161 1159 17 841 1167 17 115 1168 20 575 1169 22 1982 1178 26 135 1179 19 651 1189 22 2373 1223 19 382 1224 16 69 1225 24 129 1226 21 687 1227 26 879 1228 20 1074 1229 19 118 1233 19 215

 Number ND NDSLA 1244 27 950 1255 20 17 1266 18 771 1277 26 444 1288 24 96 1299 20 316 1334 29 127 1335 17 792 1336 20 42 1337 17 643 1338 16 2324 1339 25 1266 1344 20 453 1355 20 125 1366 15 1749 1377 14 680 1388 17 517 1399 29 754 1445 25 637 1446 14 216 1447 20 132 1448 15 472 1449 15 130 1455 16 869 1466 22 894 1477 21 530 1488 13 3711 1499 19 2023 1556 17 1384 1557 20 501 1558 20 23 1559 26 959 1566 23 233 1577 28 55 1588 17 237 1599 16 119 1667 23 1254 1668 20 906 1669 19 429 1677 18 1747 1688 15 1440 1699 15 1316 1778 17 1364 1779 22 1079 1788 24 518 1799 20 1414 1889 20 38 1899 26 454 2234 15 908 2235 19 696 2236 18 1496 2237 17 766 2238 20 2935 2239 21 1045 2245 12 2013 2246 20 39 2247 22 2953 2248 27 163 2249 26 326 2256 20 89 2257 25 1336 2258 20 614 2259 23 1857 2267 23 443 2268 30 383 2269 17 15 2278 24 677 2279 23 783 2289 14 532 2334 21 1084 2335 27 5 2336 21 875

 Number ND NDSLA 2337 20 498 2338 18 802 2339 11 366 2344 16 1093 2355 17 2128 2366 29 2379 2377 24 1492 2388 17 1299 2399 20 1040 2445 19 100 2446 19 190 2447 24 2647 2448 16 117 2449 19 238 2455 20 250 2466 13 173 2477 15 308 2488 18 945 2499 25 188 2556 17 810 2557 22 3066 2558 18 1281 2559 15 272 2566 17 1071 2577 19 369 2588 21 417 2599 20 753 2667 24 400 2668 17 542 2669 20 231 2677 17 2470 2688 31 570 2699 23 324 2778 18 2398 2779 20 290 2788 24 120 2799 19 574 2889 16 430 2899 22 200 3345 18 522 3346 26 448 3347 14 133 3348 25 1076 3349 16 393 3356 25 57 3357 28 1547 3358 12 36 3359 17 494 3367 15 43 3368 22 718 3369 25 433 3378 24 298 3379 17 461 3389 16 490 3445 15 1563 3446 22 572 3447 26 709 3448 13 1078 3449 21 1497 3455 16 294 3466 22 1823 3477 27 248 3488 12 3028 3499 22 583 3556 26 644 3557 25 29 3558 19 860 3559 19 426 3566 21 475 3577 11 264 3588 22 2032 3599 23 330

 Number ND NDSLA 3667 22 153 3668 17 1434 3669 23 0 3677 25 523 3688 19 1097 3699 14 61 3778 22 226 3779 23 508 3788 19 916 3799 17 942 3889 20 761 3899 12 633 4456 20 185 4457 15 1127 4458 22 1070 4459 20 2103 4467 21 75 4468 14 35 4469 17 1011 4478 26 102 4479 21 2675 4489 11 678 4556 21 358 4557 25 182 4558 24 82 4559 28 20 4566 22 449 4577 15 198 4588 23 1274 4599 24 25 4667 21 1579 4668 18 209 4669 20 960 4677 16 339 4688 24 396 4699 24 230 4778 20 474 4779 30 63 4788 14 19 4799 19 469 4889 19 622 4899 17 818 5567 17 745 5568 21 723 5569 17 989 5578 19 597 5579 15 3477 5589 20 170 5667 22 3 5668 24 1399 5669 23 171 5677 17 2359 5688 19 1104 5699 19 103 5778 28 114 5779 20 968 5788 16 356 5799 20 924 5889 20 1305 5899 17 464 6678 20 402 6679 21 210 6689 22 762 6778 17 1727 6779 21 338 6788 21 335 6799 22 1460 6889 20 327 6899 24 267 7789 29 807 7889 17 613 7899 20 420

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

 Number ND NDSLA 0011 14 113 0022 13 2423 0033 10 482 0044 11 1026 0055 11 6288 0066 8 1636 0077 10 1772 0088 8 2970 0099 8 2781

 Number ND NDSLA 1122 13 2400 1133 8 2195 1144 17 844 1155 17 700 1166 12 1512 1177 12 1486 1188 16 947 1199 8 1800 2233 8 1301

 Number ND NDSLA 2244 10 596 2255 14 1087 2266 8 275 2277 13 2298 2288 4 3936 2299 7 1748 3344 8 5750 3355 12 3457 3366 7 2446

 Number ND NDSLA 3377 10 3026 3388 12 158 3399 13 3629 4455 9 273 4466 13 664 4477 14 1090 4488 3 8184 4499 17 697 5566 13 615

 Number ND NDSLA 5577 7 389 5588 6 1713 5599 6 319 6677 8 459 6688 9 1822 6699 12 600 7788 8 3994 7799 12 3581 8899 11 1388

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

 Number ND NDSLA 0001 12 512 0002 8 8135 0003 12 320 0004 6 861 0005 3 1886 0006 6 660 0007 1 11071 0008 11 515 0009 12 917 0111 18 977 0222 8 146 0333 9 3674 0444 7 1326 0555 4 2243 0666 4 1815 0777 4 6398 0888 9 83 0999 11 54

 Number ND NDSLA 1112 13 852 1113 4 2020 1114 5 3035 1115 4 1712 1116 10 379 1117 9 4317 1118 4 4756 1119 9 3377 1222 9 4316 1333 8 436 1444 9 858 1555 8 5746 1666 3 4515 1777 6 776 1888 5 586 1999 13 7 2223 6 5374 2224 6 1329

 Number ND NDSLA 2225 4 1205 2226 2 725 2227 9 2028 2228 12 1873 2229 6 3401 2333 9 1475 2444 2 10794 2555 8 4365 2666 13 1980 2777 4 1556 2888 6 278 2999 6 1287 3334 9 24 3335 7 2992 3336 7 241 3337 8 2304 3338 4 1693 3339 7 1684

 Number ND NDSLA 3444 8 123 3555 5 10326 3666 4 1593 3777 5 9 3888 6 1211 3999 4 380 4445 8 1489 4446 8 407 4447 8 413 4448 2 8104 4449 7 460 4555 10 1537 4666 11 663 4777 4 8830 4888 5 2449 4999 6 4003 5556 8 2579 5557 3 2412

 Number ND NDSLA 5558 10 176 5559 7 3000 5666 3 1072 5777 5 5081 5888 5 625 5999 10 2724 6667 9 534 6668 9 2323 6669 8 1017 6777 9 201 6888 10 670 6999 4 3237 7778 10 184 7779 5 2022 7888 9 1105 7999 7 3438 8889 12 1131 8999 5 2327

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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 15708 2222 2 659 3333 1 14564 4444 3 4581 5555 2 4095 6666 2 12036 7777 2 7445 8888 4 4620 9999 2 4504

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