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

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

 Data updated on Saturday, December 07, 2013 When playing Texas 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 TexasDaily 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.

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

TexasDaily 4winnig numbers by category
From Monday, October 01, 2007 to Saturday, December 07, 2013)

• Total number of draws             = 3875
• Number of non-repeats drawn   = 1951 (50.35%)
• Number of one-repeating drawn = 1643 (42.40%)
• Number of dual-doubles drawn   = 109 (2.81%)
• Number of one-tripled drawn     = 169 (4.36%)
• Number of quadruples drawn      = 3 (0.08%)

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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 9 942 0124 9 607 0125 7 676 0126 5 122 0127 6 789 0128 4 264 0129 9 111 0134 10 384 0135 12 28 0136 11 564 0137 11 69 0138 6 1755 0139 9 351 0145 8 827 0146 8 24 0147 6 764 0148 11 551 0149 9 229 0156 12 261 0157 15 108 0158 7 9 0159 9 406 0167 7 721 0168 8 525 0169 13 152 0178 9 159 0179 11 401 0189 9 190 0234 11 248 0235 5 560 0236 7 442 0237 8 306 0238 9 985 0239 5 365 0245 9 236 0246 7 87 0247 9 479 0248 6 1631 0249 9 582 0256 17 84 0257 10 72 0258 15 68

 Number ND NDSLA 0259 11 32 0267 13 38 0268 10 512 0269 7 79 0278 10 271 0279 9 288 0289 7 947 0345 13 178 0346 5 2468 0347 14 175 0348 9 154 0349 7 861 0356 10 321 0357 7 660 0358 10 115 0359 7 71 0367 10 63 0368 6 1152 0369 9 341 0378 7 727 0379 14 4 0389 10 137 0456 4 265 0457 10 273 0458 6 310 0459 6 693 0467 8 793 0468 9 102 0469 6 131 0478 12 90 0479 8 176 0489 10 201 0567 12 76 0568 10 225 0569 7 1154 0578 9 242 0579 8 710 0589 6 156 0678 10 486 0679 9 287 0689 7 396 0789 9 385

 Number ND NDSLA 1234 8 811 1235 9 245 1236 12 252 1237 11 733 1238 8 395 1239 7 256 1245 13 915 1246 7 21 1247 8 228 1248 17 166 1249 13 304 1256 11 315 1257 9 232 1258 10 500 1259 9 503 1267 11 566 1268 11 1087 1269 7 791 1278 13 353 1279 6 436 1289 13 6 1345 9 1462 1346 10 218 1347 9 596 1348 5 106 1349 5 1119 1356 10 56 1357 7 303 1358 9 350 1359 5 148 1367 9 434 1368 7 8 1369 20 23 1378 9 168 1379 7 781 1389 9 88 1456 9 661 1457 11 1148 1458 16 35 1459 8 173 1467 12 526 1468 7 388

 Number ND NDSLA 1469 15 1073 1478 11 1105 1479 11 44 1489 6 268 1567 12 747 1568 11 39 1569 17 164 1578 8 51 1579 8 468 1589 11 65 1678 11 322 1679 16 17 1689 7 1695 1789 9 893 2345 7 297 2346 7 92 2347 11 104 2348 8 462 2349 6 1600 2356 7 109 2357 8 515 2358 12 16 2359 10 404 2367 7 1276 2368 5 170 2369 13 430 2378 6 101 2379 7 538 2389 9 3 2456 7 707 2457 10 127 2458 8 138 2459 7 1391 2467 5 427 2468 14 94 2469 11 592 2478 8 900 2479 12 519 2489 5 946 2567 15 97 2568 18 55 2569 9 60

 Number ND NDSLA 2578 10 293 2579 8 712 2589 7 96 2678 6 1949 2679 7 922 2689 9 300 2789 12 280 3456 11 130 3457 7 2 3458 6 458 3459 10 200 3467 7 179 3468 7 1559 3469 8 259 3478 9 151 3479 11 435 3489 11 112 3567 5 640 3568 8 119 3569 8 1886 3578 13 95 3579 15 182 3589 12 393 3678 12 444 3679 11 85 3689 11 884 3789 13 270 4567 10 570 4568 10 409 4569 7 1 4578 7 472 4579 5 729 4589 15 402 4678 10 177 4679 7 858 4689 14 116 4789 9 356 5678 9 275 5679 11 267 5689 9 196 5789 3 461 6789 12 364

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

 Number ND NDSLA 0012 1 64 0013 7 219 0014 7 483 0015 5 1346 0016 6 1003 0017 4 149 0018 3 1080 0019 7 257 0023 4 685 0024 5 311 0025 3 2967 0026 1 2790 0027 6 405 0028 9 89 0029 4 227 0034 8 91 0035 3 906 0036 3 889 0037 4 363 0038 4 314 0039 3 26 0045 5 18 0046 6 470 0047 4 121 0048 6 556 0049 4 144 0056 4 1202 0057 5 1220 0058 4 34 0059 7 465 0067 6 652 0068 5 224 0069 5 987 0078 5 277 0079 3 2894 0089 6 415 0112 6 140 0113 3 1578 0114 3 1325 0115 1 1417 0116 4 33 0117 5 578 0118 4 125 0119 4 496 0122 4 586 0133 3 40 0144 6 1626 0155 6 645 0166 8 197 0177 5 290 0188 9 181 0199 4 157 0223 5 333 0224 5 1403 0225 1 2287 0226 4 457 0227 4 724 0228 3 759 0229 1 3359 0233 5 1135 0244 6 391 0255 9 142 0266 6 147 0277 2 339 0288 3 1147 0299 7 656 0334 2 3138 0335 9 158 0336 3 198 0337 1 1341 0338 8 81 0339 2 2463

 Number ND NDSLA 0344 4 1126 0355 6 894 0366 8 1642 0377 8 521 0388 2 1841 0399 3 3233 0445 2 1236 0446 3 1379 0447 6 126 0448 5 925 0449 1 2094 0455 7 398 0466 7 824 0477 8 883 0488 4 2019 0499 2 289 0556 3 2405 0557 4 238 0558 2 403 0559 4 372 0566 3 1751 0577 5 162 0588 7 41 0599 5 1175 0667 6 1441 0668 2 874 0669 2 324 0677 2 611 0688 5 2371 0699 3 2351 0778 4 167 0779 3 113 0788 3 2038 0799 5 223 0889 2 1807 0899 6 329 1123 5 254 1124 6 367 1125 6 49 1126 3 192 1127 3 110 1128 5 423 1129 4 1636 1134 3 93 1135 5 801 1136 4 61 1137 6 471 1138 6 825 1139 3 1554 1145 8 67 1146 6 1500 1147 7 284 1148 4 1420 1149 4 46 1156 5 665 1157 6 180 1158 5 52 1159 2 1115 1167 4 237 1168 6 191 1169 3 2384 1178 8 294 1179 4 425 1189 5 1038 1223 3 1376 1224 4 86 1225 5 625 1226 3 736 1227 6 859 1228 4 1449 1229 7 285 1233 3 2647

 Number ND NDSLA 1244 3 937 1255 4 679 1266 7 332 1277 7 490 1288 4 653 1299 4 1834 1334 7 748 1335 4 1809 1336 8 1565 1337 5 1251 1338 5 215 1339 2 715 1344 7 330 1355 5 649 1366 4 1499 1377 4 62 1388 4 80 1399 5 417 1445 5 1442 1446 0 - 1447 8 601 1448 3 141 1449 7 30 1455 8 100 1466 3 497 1477 3 161 1488 6 433 1499 7 812 1556 4 1402 1557 3 29 1558 2 2671 1559 5 136 1566 4 970 1577 3 274 1588 6 949 1599 7 589 1667 5 690 1668 3 488 1669 5 994 1677 2 1992 1688 3 1576 1699 3 1811 1778 4 513 1779 5 352 1788 4 59 1799 5 2520 1889 8 516 1899 6 247 2234 5 1131 2235 1 1913 2236 4 7 2237 2 1591 2238 6 103 2239 6 504 2245 3 2044 2246 5 1125 2247 4 213 2248 3 510 2249 4 209 2256 5 82 2257 6 738 2258 2 657 2259 2 1377 2267 9 233 2268 3 2851 2269 3 124 2278 3 2876 2279 3 1395 2289 2 2512 2334 7 22 2335 2 206 2336 4 66

 Number ND NDSLA 2337 7 214 2338 3 2228 2339 4 1090 2344 6 1424 2355 3 258 2366 8 105 2377 6 37 2388 6 1369 2399 5 1274 2445 3 478 2446 3 36 2447 2 571 2448 6 301 2449 5 967 2455 4 319 2466 8 42 2477 3 27 2488 6 203 2499 7 885 2556 3 1666 2557 8 123 2558 4 325 2559 3 677 2566 6 750 2577 6 1064 2588 11 338 2599 4 220 2667 6 792 2668 0 - 2669 3 1167 2677 3 298 2688 5 1006 2699 6 163 2778 10 47 2779 8 1013 2788 7 846 2799 4 328 2889 4 202 2899 3 1887 3345 5 866 3346 4 1124 3347 4 13 3348 4 15 3349 4 362 3356 7 663 3357 4 1492 3358 5 1233 3359 3 1896 3367 4 1275 3368 5 523 3369 4 1225 3378 3 0 3379 4 207 3389 6 296 3445 4 266 3446 3 776 3447 4 194 3448 12 244 3449 6 387 3455 4 666 3466 4 1143 3477 6 454 3488 3 432 3499 4 756 3556 4 788 3557 4 308 3558 4 1034 3559 9 370 3566 3 31 3577 8 25 3588 5 1078 3599 6 713

 Number ND NDSLA 3667 3 160 3668 8 743 3669 3 680 3677 7 45 3688 3 1727 3699 7 326 3778 2 1146 3779 0 - 3788 4 1720 3799 4 1398 3889 2 3084 3899 4 429 4456 6 671 4457 5 779 4458 2 153 4459 3 1640 4467 2 114 4468 3 604 4469 4 249 4478 6 20 4479 0 - 4489 1 3655 4556 8 195 4557 6 605 4558 6 70 4559 7 651 4566 5 155 4577 7 323 4588 1 2489 4599 5 1593 4667 6 302 4668 5 83 4669 5 973 4677 4 1613 4688 1 2151 4699 4 1018 4778 4 187 4779 3 1330 4788 3 1360 4799 4 1974 4889 5 600 4899 6 382 5567 5 392 5568 4 10 5569 3 240 5578 6 347 5579 3 243 5589 3 493 5667 7 335 5668 4 1776 5669 6 1414 5677 3 295 5688 9 380 5699 4 5 5778 8 174 5779 6 1464 5788 4 797 5799 3 1320 5889 2 477 5899 4 1941 6678 1 2032 6679 6 12 6689 5 1460 6778 3 354 6779 5 1337 6788 6 770 6799 6 75 6889 4 530 6899 5 773 7789 6 57 7889 2 1734 7899 2 3651

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

 Number ND NDSLA 0011 3 547 0022 1 1165 0033 3 428 0044 1 1045 0055 3 567 0066 3 2211 0077 1 3561 0088 2 722 0099 3 14

 Number ND NDSLA 1122 4 19 1133 1 1334 1144 5 1049 1155 0 - 1166 3 1370 1177 3 1028 1188 5 369 1199 4 276 2233 4 1474

 Number ND NDSLA 2244 2 1362 2255 7 211 2266 4 1022 2277 2 2703 2288 1 1791 2299 2 2572 3344 1 983 3355 1 3851 3366 4 11

 Number ND NDSLA 3377 0 - 3388 3 920 3399 2 358 4455 0 - 4466 1 992 4477 0 - 4488 2 975 4499 4 959 5566 1 597

 Number ND NDSLA 5577 1 1213 5588 1 2576 5599 3 250 6677 3 480 6688 1 2288 6699 3 376 7788 6 455 7799 4 1457 8899 1 3667

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

 Number ND NDSLA 0001 3 845 0002 3 349 0003 4 1117 0004 1 775 0005 3 78 0006 0 - 0007 4 77 0008 0 - 0009 2 2296 0111 2 2141 0222 2 637 0333 1 681 0444 1 961 0555 1 129 0666 0 - 0777 1 3234 0888 3 999 0999 2 2867

 Number ND NDSLA 1112 1 366 1113 3 1364 1114 3 694 1115 0 - 1116 1 48 1117 0 - 1118 5 98 1119 2 767 1222 1 1904 1333 1 318 1444 2 1166 1555 5 312 1666 2 1133 1777 2 1201 1888 1 2343 1999 2 1693 2223 3 260 2224 2 837

 Number ND NDSLA 2225 3 559 2226 0 - 2227 4 186 2228 1 368 2229 3 1316 2333 0 - 2444 3 1076 2555 0 - 2666 4 895 2777 2 212 2888 6 54 2999 3 655 3334 4 939 3335 1 1056 3336 0 - 3337 2 1254 3338 2 1588 3339 1 208

 Number ND NDSLA 3444 2 286 3555 3 1219 3666 0 - 3777 1 3339 3888 1 1696 3999 1 1718 4445 2 711 4446 2 1725 4447 3 787 4448 3 508 4449 1 3274 4555 0 - 4666 2 1030 4777 2 1999 4888 1 1110 4999 2 583 5556 2 2340 5557 2 3492

 Number ND NDSLA 5558 3 2933 5559 0 - 5666 3 706 5777 0 - 5888 3 305 5999 0 - 6667 3 2364 6668 0 - 6669 3 2902 6777 1 1361 6888 3 552 6999 2 911 7778 2 1435 7779 2 3275 7888 2 899 7999 2 120 8889 1 1421 8999 1 3048

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

 Number ND NDSLA 0000 1 135 1111 0 - 2222 0 - 3333 1 882 4444 0 - 5555 0 - 6666 1 1289 7777 0 - 8888 0 - 9999 0 -

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