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

• Total number of draws             = 17375
• Number of non-repeats drawn   = 8763 (50.43%)
• Number of one-repeating drawn = 7448 (42.87%)
• Number of dual-doubles drawn   = 484 (2.79%)
• Number of one-tripled drawn     = 660 (3.80%)
• Number of quadruples drawn      = 20 (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 48 99 0124 47 26 0125 54 621 0126 47 988 0127 32 194 0128 58 682 0129 51 366 0134 39 944 0135 43 44 0136 29 14 0137 46 1364 0138 48 953 0139 38 341 0145 32 615 0146 46 451 0147 36 40 0148 33 114 0149 42 33 0156 32 50 0157 35 113 0158 42 141 0159 42 278 0167 43 874 0168 48 380 0169 24 117 0178 34 2498 0179 41 527 0189 40 320 0234 43 0 0235 43 488 0236 40 588 0237 35 150 0238 30 816 0239 40 839 0245 42 365 0246 46 16 0247 38 427 0248 52 31 0249 39 72 0256 45 785 0257 37 282 0258 43 254

 Number ND NDSLA 0259 48 638 0267 46 302 0268 36 441 0269 38 1 0278 51 501 0279 51 145 0289 28 90 0345 48 10 0346 40 815 0347 37 66 0348 44 742 0349 35 1829 0356 43 58 0357 43 534 0358 40 214 0359 41 304 0367 41 353 0368 44 155 0369 43 102 0378 50 144 0379 35 157 0389 40 171 0456 49 351 0457 55 247 0458 41 96 0459 37 236 0467 36 75 0468 48 907 0469 36 221 0478 40 263 0479 52 690 0489 46 222 0567 52 280 0568 35 272 0569 36 110 0578 42 1985 0579 55 6 0589 37 134 0678 37 183 0679 44 181 0689 36 60 0789 44 437

 Number ND NDSLA 1234 41 7 1235 31 446 1236 55 226 1237 40 18 1238 37 37 1239 48 1239 1245 54 980 1246 45 138 1247 51 207 1248 42 500 1249 45 206 1256 41 163 1257 48 123 1258 42 256 1259 33 232 1267 48 781 1268 42 27 1269 44 229 1278 43 83 1279 38 292 1289 32 20 1345 48 1078 1346 41 555 1347 36 718 1348 32 281 1349 50 225 1356 40 587 1357 36 68 1358 29 425 1359 48 893 1367 36 2084 1368 42 309 1369 40 3 1378 32 972 1379 45 579 1389 46 1148 1456 49 466 1457 44 1330 1458 56 248 1459 34 356 1467 40 11 1468 27 2057

 Number ND NDSLA 1469 53 645 1478 36 185 1479 36 702 1489 34 101 1567 49 1279 1568 41 598 1569 42 1020 1578 37 1139 1579 37 632 1589 53 201 1678 35 91 1679 44 939 1689 57 17 1789 41 1745 2345 35 210 2346 40 179 2347 44 165 2348 47 464 2349 32 652 2356 42 1241 2357 42 613 2358 43 329 2359 43 173 2367 46 139 2368 37 877 2369 48 392 2378 47 67 2379 48 231 2389 31 193 2456 41 1087 2457 37 65 2458 44 599 2459 51 142 2467 45 359 2468 38 714 2469 35 156 2478 41 30 2479 32 721 2489 30 414 2567 39 143 2568 44 132 2569 45 1516

 Number ND NDSLA 2578 41 121 2579 49 419 2589 46 406 2678 37 308 2679 38 1141 2689 41 199 2789 41 252 3456 45 257 3457 44 264 3458 37 478 3459 41 160 3467 40 697 3468 41 498 3469 34 622 3478 28 243 3479 53 104 3489 39 237 3567 46 439 3568 36 233 3569 44 401 3578 47 189 3579 45 47 3589 41 76 3678 51 339 3679 46 372 3689 34 455 3789 31 844 4567 47 403 4568 48 828 4569 44 105 4578 36 131 4579 48 997 4589 36 1948 4678 57 399 4679 52 747 4689 40 152 4789 37 565 5678 39 255 5679 35 389 5689 52 55 5789 36 238 6789 44 283

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

 Number ND NDSLA 0012 25 78 0013 24 484 0014 22 1578 0015 18 1583 0016 24 383 0017 20 607 0018 25 38 0019 19 420 0023 27 685 0024 21 445 0025 22 227 0026 16 483 0027 19 1550 0028 20 94 0029 19 168 0034 21 56 0035 16 1227 0036 21 15 0037 32 97 0038 19 321 0039 16 289 0045 22 364 0046 23 407 0047 26 1589 0048 20 42 0049 29 1329 0056 21 804 0057 15 1615 0058 17 4980 0059 22 73 0067 19 612 0068 21 204 0069 12 943 0078 23 370 0079 18 1161 0089 27 212 0112 19 726 0113 28 648 0114 18 1422 0115 36 600 0116 17 1028 0117 30 443 0118 20 2064 0119 26 481 0122 22 765 0133 22 45 0144 18 172 0155 17 34 0166 21 672 0177 19 2072 0188 23 1427 0199 17 831 0223 20 80 0224 16 1383 0225 13 135 0226 16 347 0227 18 2044 0228 20 48 0229 23 2292 0233 18 562 0244 25 899 0255 22 1893 0266 19 2404 0277 22 548 0288 20 3194 0299 19 1579 0334 19 553 0335 18 269 0336 26 2511 0337 18 216 0338 19 957 0339 20 93

 Number ND NDSLA 0344 20 1403 0355 26 376 0366 32 753 0377 25 1808 0388 26 119 0399 19 618 0445 19 542 0446 18 1515 0447 26 662 0448 22 1806 0449 14 917 0455 27 5 0466 18 559 0477 22 698 0488 18 1076 0499 27 903 0556 22 1911 0557 28 161 0558 13 1300 0559 16 1396 0566 21 409 0577 19 517 0588 32 149 0599 16 188 0667 18 57 0668 24 1094 0669 18 1106 0677 22 547 0688 21 116 0699 27 1801 0778 26 2101 0779 19 1088 0788 20 1785 0799 21 590 0889 13 812 0899 15 1409 1123 10 313 1124 21 198 1125 19 2 1126 19 711 1127 18 2007 1128 25 2610 1129 13 627 1134 18 352 1135 23 947 1136 24 509 1137 15 192 1138 21 170 1139 20 761 1145 25 298 1146 24 137 1147 22 85 1148 17 1668 1149 24 287 1156 19 486 1157 23 224 1158 16 318 1159 18 326 1167 17 508 1168 20 968 1169 24 249 1178 26 528 1179 19 1044 1189 23 213 1223 19 775 1224 17 52 1225 24 522 1226 24 46 1227 26 1272 1228 20 1467 1229 20 340 1233 19 608

 Number ND NDSLA 1244 27 1343 1255 20 410 1266 18 1164 1277 26 837 1288 24 489 1299 20 709 1334 29 520 1335 17 1185 1336 20 435 1337 20 223 1338 16 2717 1339 26 88 1344 21 103 1355 21 118 1366 16 335 1377 14 1073 1388 17 910 1399 29 1147 1445 26 205 1446 14 609 1447 21 176 1448 16 25 1449 16 235 1455 18 140 1466 22 1287 1477 22 87 1488 13 4104 1499 20 115 1556 18 82 1557 20 894 1558 20 416 1559 26 1352 1566 23 626 1577 29 219 1588 18 374 1599 16 512 1667 23 1647 1668 20 1299 1669 20 153 1677 18 2140 1688 15 1833 1699 15 1709 1778 17 1757 1779 22 1472 1788 24 911 1799 21 332 1889 22 286 1899 26 847 2234 16 109 2235 19 1089 2236 18 1889 2237 17 1159 2238 22 12 2239 21 1438 2245 13 177 2246 20 432 2247 23 23 2248 28 325 2249 26 719 2256 20 482 2257 25 1729 2258 21 175 2259 24 333 2267 23 836 2268 30 776 2269 18 285 2278 24 1070 2279 24 128 2289 15 36 2334 22 268 2335 27 398 2336 21 1268

 Number ND NDSLA 2337 21 209 2338 18 1195 2339 12 328 2344 16 1486 2355 18 133 2366 30 288 2377 24 1885 2388 18 41 2399 20 1433 2445 19 493 2446 20 61 2447 24 3040 2448 16 510 2449 19 631 2455 21 310 2466 13 566 2477 15 701 2488 18 1338 2499 26 270 2556 19 53 2557 22 3459 2558 18 1674 2559 15 665 2566 18 276 2577 19 762 2588 21 810 2599 22 89 2667 24 793 2668 17 935 2669 21 69 2677 17 2863 2688 31 963 2699 23 717 2778 18 2791 2779 20 683 2788 25 147 2799 20 112 2889 17 342 2899 22 593 3345 18 915 3346 27 296 3347 15 350 3348 26 71 3349 16 786 3356 25 450 3357 28 1940 3358 12 429 3359 17 887 3367 16 294 3368 23 323 3369 26 59 3378 25 107 3379 17 854 3389 17 245 3445 16 4 3446 23 32 3447 26 1102 3448 13 1471 3449 23 81 3455 19 84 3466 22 2216 3477 28 334 3488 12 3421 3499 22 976 3556 26 1037 3557 25 422 3558 20 35 3559 21 124 3566 21 868 3577 11 657 3588 22 2425 3599 23 723

 Number ND NDSLA 3667 22 546 3668 17 1827 3669 23 393 3677 26 136 3688 19 1490 3699 15 241 3778 22 619 3779 23 901 3788 19 1309 3799 17 1335 3889 20 1154 3899 12 1026 4456 20 578 4457 15 1520 4458 22 1463 4459 20 2496 4467 21 468 4468 15 355 4469 17 1404 4478 27 324 4479 23 19 4489 11 1071 4556 21 751 4557 26 361 4558 24 475 4559 28 413 4566 22 842 4577 15 591 4588 24 348 4599 24 418 4667 24 196 4668 18 602 4669 21 148 4677 16 732 4688 26 64 4699 25 250 4778 20 867 4779 30 456 4788 15 151 4799 19 862 4889 20 167 4899 19 349 5567 18 387 5568 21 1116 5569 17 1382 5578 22 106 5579 15 3870 5589 22 13 5667 23 28 5668 24 1792 5669 23 564 5677 18 49 5688 19 1497 5699 20 111 5778 28 507 5779 21 9 5788 16 749 5799 20 1317 5889 20 1698 5899 17 857 6678 21 129 6679 21 603 6689 22 1155 6778 17 2120 6779 21 731 6788 21 728 6799 22 1853 6889 20 720 6899 24 660 7789 30 284 7889 18 86 7899 20 813

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

 Number ND NDSLA 0011 14 506 0022 13 2816 0033 10 875 0044 12 125 0055 11 6681 0066 9 228 0077 10 2165 0088 9 127 0099 8 3174

 Number ND NDSLA 1122 13 2793 1133 9 24 1144 17 1237 1155 17 1093 1166 13 164 1177 12 1879 1188 16 1340 1199 8 2193 2233 9 375

 Number ND NDSLA 2244 11 200 2255 14 1480 2266 8 668 2277 14 360 2288 4 4329 2299 8 174 3344 8 6143 3355 12 3850 3366 7 2839

 Number ND NDSLA 3377 10 3419 3388 13 62 3399 14 253 4455 10 260 4466 14 43 4477 14 1483 4488 3 8577 4499 17 1090 5566 14 51

 Number ND NDSLA 5577 7 782 5588 6 2106 5599 6 712 6677 8 852 6688 9 2215 6699 12 993 7788 8 4387 7799 12 3974 8899 11 1781

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

 Number ND NDSLA 0001 12 905 0002 9 251 0003 12 713 0004 6 1254 0005 3 2279 0006 6 1053 0007 1 11464 0008 11 908 0009 13 218 0111 18 1370 0222 8 539 0333 9 4067 0444 7 1719 0555 4 2636 0666 4 2208 0777 4 6791 0888 9 476 0999 11 447

 Number ND NDSLA 1112 13 1245 1113 4 2413 1114 6 299 1115 4 2105 1116 10 772 1117 9 4710 1118 4 5149 1119 9 3770 1222 9 4709 1333 9 190 1444 9 1251 1555 8 6139 1666 3 4908 1777 6 1169 1888 6 122 1999 13 400 2223 6 5767 2224 6 1722

 Number ND NDSLA 2225 4 1598 2226 2 1118 2227 9 2421 2228 12 2266 2229 6 3794 2333 9 1868 2444 2 11187 2555 8 4758 2666 13 2373 2777 4 1949 2888 7 39 2999 7 363 3334 9 417 3335 7 3385 3336 7 634 3337 8 2697 3338 4 2086 3339 7 2077

 Number ND NDSLA 3444 9 8 3555 5 10719 3666 4 1986 3777 5 402 3888 6 1604 3999 4 773 4445 8 1882 4446 8 800 4447 8 806 4448 2 8497 4449 7 853 4555 10 1930 4666 12 203 4777 5 274 4888 5 2842 4999 7 21 5556 8 2972 5557 3 2805

 Number ND NDSLA 5558 10 569 5559 7 3393 5666 3 1465 5777 5 5474 5888 5 1018 5999 10 3117 6667 9 927 6668 9 2716 6669 8 1410 6777 9 594 6888 10 1063 6999 4 3630 7778 11 371 7779 5 2415 7888 9 1498 7999 7 3831 8889 12 1524 8999 5 2720

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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 16101 2222 2 1052 3333 1 14957 4444 4 98 5555 2 4488 6666 2 12429 7777 2 7838 8888 4 5013 9999 2 4897

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