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

# Tennessee Lottery Cash 4 Boxes(numbers in any order) Data

 Data updated on Friday, December 13, 2013 When playing Tennessee Cash 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 Cash 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 TennesseeCash 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; Cash 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 Cash 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 Cash 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.

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

TennesseeCash 4winnig numbers by category
From Monday, April 18, 2005 to Friday, December 13, 2013)

• Total number of draws             = 5686
• Number of non-repeats drawn   = 2931 (51.55%)
• Number of one-repeating drawn = 2397 (42.16%)
• Number of dual-doubles drawn   = 149 (2.62%)
• Number of one-tripled drawn     = 206 (3.62%)
• Number of quadruples drawn      = 3 (0.05%)

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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 14 94 0124 10 229 0125 12 334 0126 11 8 0127 9 379 0128 18 180 0129 13 91 0134 19 541 0135 11 325 0136 15 36 0137 18 38 0138 10 299 0139 25 15 0145 11 704 0146 10 963 0147 16 865 0148 14 319 0149 16 70 0156 22 18 0157 8 774 0158 18 350 0159 12 562 0167 13 680 0168 18 599 0169 10 720 0178 15 280 0179 14 9 0189 6 31 0234 12 1049 0235 14 333 0236 17 126 0237 22 115 0238 12 368 0239 11 1823 0245 14 271 0246 7 288 0247 14 1490 0248 14 245 0249 14 137 0256 8 537 0257 11 268 0258 10 128

 Number ND NDSLA 0259 9 502 0267 14 382 0268 22 198 0269 11 45 0278 15 623 0279 11 978 0289 11 615 0345 13 257 0346 10 76 0347 14 568 0348 11 604 0349 19 56 0356 19 14 0357 17 145 0358 13 708 0359 11 161 0367 15 515 0368 6 422 0369 13 551 0378 17 10 0379 11 72 0389 11 251 0456 14 287 0457 14 446 0458 17 469 0459 19 323 0467 30 454 0468 14 733 0469 16 1163 0478 15 553 0479 15 810 0489 14 163 0567 16 715 0568 13 146 0569 20 122 0578 11 66 0579 8 202 0589 13 5 0678 12 470 0679 11 168 0689 6 1528 0789 16 77

 Number ND NDSLA 1234 7 525 1235 8 552 1236 22 808 1237 19 637 1238 12 17 1239 13 534 1245 12 411 1246 10 28 1247 12 867 1248 12 960 1249 12 647 1256 12 361 1257 13 153 1258 13 322 1259 12 802 1267 9 520 1268 14 357 1269 12 346 1278 16 419 1279 16 61 1289 15 306 1345 9 1233 1346 11 60 1347 14 95 1348 14 965 1349 12 104 1356 12 204 1357 8 1281 1358 9 239 1359 17 1650 1367 13 374 1368 14 110 1369 17 67 1378 13 339 1379 19 402 1389 18 148 1456 15 336 1457 10 24 1458 10 1772 1459 18 42 1467 11 1185 1468 18 232

 Number ND NDSLA 1469 7 1273 1478 12 12 1479 13 450 1489 14 35 1567 16 554 1568 17 199 1569 14 224 1578 14 276 1579 12 88 1589 16 181 1678 15 613 1679 15 561 1689 12 150 1789 14 418 2345 18 4 2346 15 215 2347 15 241 2348 13 263 2349 23 312 2356 10 295 2357 20 273 2358 14 131 2359 7 516 2367 21 238 2368 13 1226 2369 13 546 2378 18 116 2379 16 97 2389 9 109 2456 12 358 2457 11 728 2458 17 57 2459 15 84 2467 17 157 2468 15 360 2469 17 1422 2478 11 844 2479 9 248 2489 16 50 2567 13 139 2568 15 457 2569 15 22

 Number ND NDSLA 2578 18 166 2579 21 172 2589 16 133 2678 16 190 2679 14 40 2689 17 757 2789 14 533 3456 21 160 3457 17 709 3458 17 136 3459 6 2242 3467 12 459 3468 10 997 3469 10 1119 3478 19 82 3479 19 332 3489 18 285 3567 15 1051 3568 11 132 3569 15 284 3578 17 945 3579 15 778 3589 11 870 3678 18 584 3679 11 489 3689 16 1017 3789 10 1187 4567 20 302 4568 10 475 4569 16 192 4578 16 102 4579 13 832 4589 13 3 4678 14 87 4679 12 458 4689 13 474 4789 16 33 5678 19 580 5679 12 787 5689 16 13 5789 14 264 6789 16 521

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

 Number ND NDSLA 0012 7 369 0013 7 1538 0014 9 16 0015 5 0 0016 4 1982 0017 6 2157 0018 5 1380 0019 5 208 0023 7 335 0024 4 2334 0025 8 309 0026 4 621 0027 8 383 0028 4 1272 0029 8 211 0034 6 397 0035 5 39 0036 11 183 0037 4 754 0038 1 2950 0039 9 579 0045 1 3943 0046 6 43 0047 9 1543 0048 8 2408 0049 9 400 0056 5 608 0057 6 237 0058 10 32 0059 7 65 0067 4 946 0068 13 73 0069 7 44 0078 9 93 0079 5 701 0089 7 869 0112 7 490 0113 7 518 0114 7 107 0115 9 92 0116 11 272 0117 6 1607 0118 1 1546 0119 5 120 0122 6 23 0133 7 329 0144 7 494 0155 10 345 0166 9 1438 0177 2 1713 0188 9 90 0199 3 78 0223 3 743 0224 8 159 0225 5 19 0226 8 1020 0227 4 598 0228 3 1302 0229 7 1074 0233 5 1555 0244 6 85 0255 8 58 0266 7 177 0277 7 632 0288 5 2119 0299 8 326 0334 7 1239 0335 7 1576 0336 7 430 0337 7 376 0338 4 658 0339 4 766

 Number ND NDSLA 0344 5 986 0355 8 549 0366 13 487 0377 6 59 0388 11 635 0399 3 638 0445 6 686 0446 5 281 0447 12 80 0448 8 617 0449 11 2189 0455 4 266 0466 8 699 0477 9 356 0488 7 739 0499 9 230 0556 4 1485 0557 9 406 0558 6 2459 0559 5 2604 0566 5 905 0577 7 1 0588 7 646 0599 7 1011 0667 6 37 0668 11 385 0669 6 2072 0677 8 55 0688 6 992 0699 4 952 0778 3 462 0779 6 173 0788 7 711 0799 8 69 0889 4 99 0899 9 1619 1123 4 816 1124 10 413 1125 4 587 1126 8 162 1127 7 338 1128 5 2042 1129 9 625 1134 4 442 1135 12 100 1136 8 468 1137 4 1004 1138 6 89 1139 7 710 1145 6 426 1146 6 1397 1147 2 318 1148 8 235 1149 3 277 1156 3 48 1157 4 964 1158 6 423 1159 6 845 1167 8 628 1168 4 141 1169 5 362 1178 4 602 1179 5 1937 1189 6 1997 1223 7 1428 1224 7 359 1225 5 2336 1226 5 2204 1227 8 1458 1228 7 49 1229 10 764 1233 8 1368

 Number ND NDSLA 1244 5 388 1255 9 681 1266 10 1021 1277 11 492 1288 10 416 1299 6 723 1334 9 1159 1335 3 365 1336 3 1932 1337 8 118 1338 1 2808 1339 5 862 1344 7 1039 1355 6 896 1366 6 676 1377 8 793 1388 9 482 1399 4 188 1445 13 113 1446 6 305 1447 1 3860 1448 13 53 1449 9 2 1455 2 1299 1466 8 367 1477 7 387 1488 8 363 1499 5 386 1556 4 11 1557 7 187 1558 11 395 1559 6 293 1566 3 684 1577 7 3346 1588 6 1201 1599 10 1175 1667 12 176 1668 6 1491 1669 4 1565 1677 11 752 1688 7 114 1699 3 3267 1778 7 106 1779 7 2208 1788 9 283 1799 5 779 1889 7 907 1899 8 557 2234 6 1461 2235 7 213 2236 8 297 2237 6 760 2238 10 167 2239 12 324 2245 4 690 2246 6 1835 2247 6 2145 2248 9 1124 2249 11 310 2256 4 957 2257 5 1687 2258 6 1392 2259 6 20 2267 8 857 2268 9 96 2269 4 542 2278 7 68 2279 11 71 2289 10 548 2334 6 898 2335 6 210 2336 6 1708

 Number ND NDSLA 2337 8 165 2338 8 384 2339 9 795 2344 6 1668 2355 5 138 2366 7 398 2377 8 142 2388 4 240 2399 7 2123 2445 4 456 2446 6 535 2447 8 915 2448 11 178 2449 9 174 2455 4 262 2466 6 105 2477 8 200 2488 5 695 2499 5 25 2556 8 572 2557 3 6 2558 12 258 2559 5 732 2566 4 1143 2577 3 1785 2588 10 399 2599 5 573 2667 4 1739 2668 8 214 2669 4 2728 2677 5 1640 2688 9 370 2699 5 1036 2778 6 169 2779 7 736 2788 8 101 2799 13 242 2889 8 124 2899 9 328 3345 9 692 3346 8 514 3347 2 670 3348 7 1117 3349 8 54 3356 5 539 3357 6 958 3358 5 1678 3359 4 30 3367 9 1202 3368 4 2270 3369 4 1045 3378 6 949 3379 11 216 3389 9 1006 3445 6 253 3446 9 1441 3447 6 1106 3448 6 1372 3449 7 203 3455 7 1112 3466 5 233 3477 7 26 3488 9 1321 3499 7 2502 3556 9 307 3557 3 512 3558 4 127 3559 9 47 3566 7 364 3577 10 2520 3588 5 260 3599 9 34

 Number ND NDSLA 3667 5 455 3668 6 780 3669 4 3141 3677 7 223 3688 8 1122 3699 6 392 3778 4 129 3779 3 103 3788 10 431 3799 4 506 3889 8 523 3899 5 348 4456 10 1292 4457 3 434 4458 4 111 4459 10 221 4467 7 859 4468 5 83 4469 11 62 4478 7 286 4479 6 156 4489 3 1058 4556 8 762 4557 9 193 4558 10 1048 4559 4 517 4566 8 405 4577 6 1462 4588 7 1522 4599 7 2116 4667 9 948 4668 5 1770 4669 10 484 4677 14 117 4688 7 226 4699 5 1050 4778 5 1231 4779 9 320 4788 5 2648 4799 4 1127 4889 4 1554 4899 4 1913 5567 6 1289 5568 6 427 5569 8 337 5578 9 403 5579 1 4959 5589 7 41 5667 6 1816 5668 7 817 5669 6 619 5677 10 377 5688 7 74 5699 5 1037 5778 8 1520 5779 4 4202 5788 8 179 5799 3 1388 5889 4 2338 5899 8 112 6678 9 63 6679 6 313 6689 9 21 6778 6 982 6779 9 246 6788 4 2079 6799 7 147 6889 9 522 6899 10 134 7789 7 555 7889 6 252 7899 2 52

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

 Number ND NDSLA 0011 2 505 0022 2 740 0033 3 2644 0044 2 3805 0055 2 2366 0066 3 1966 0077 3 1904 0088 0 - 0099 3 1375

 Number ND NDSLA 1122 4 1533 1133 3 164 1144 2 933 1155 2 722 1166 1 1436 1177 5 1338 1188 5 481 1199 2 2132 2233 2 1313

 Number ND NDSLA 2244 7 7 2255 2 2139 2266 5 389 2277 1 3466 2288 4 3338 2299 3 1955 3344 6 51 3355 5 500 3366 8 1116

 Number ND NDSLA 3377 2 538 3388 2 4771 3399 4 1263 4455 2 1002 4466 5 2499 4477 6 1374 4488 3 1307 4499 4 1294 5566 4 108

 Number ND NDSLA 5577 0 - 5588 4 659 5599 8 547 6677 3 1784 6688 4 3902 6699 1 206 7788 4 243 7799 3 2652 8899 3 550

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

 Number ND NDSLA 0001 2 1691 0002 1 4207 0003 0 - 0004 2 1370 0005 3 838 0006 0 - 0007 1 1295 0008 2 2494 0009 5 2135 0111 0 - 0222 4 1905 0333 3 1170 0444 0 - 0555 1 712 0666 3 2161 0777 3 1557 0888 2 340 0999 1 5260

 Number ND NDSLA 1112 2 597 1113 1 2686 1114 2 2611 1115 3 354 1116 1 225 1117 2 2505 1118 4 244 1119 2 564 1222 1 5066 1333 2 559 1444 2 212 1555 2 483 1666 2 1310 1777 2 2022 1888 1 5564 1999 2 2885 2223 3 1774 2224 1 691

 Number ND NDSLA 2225 2 3283 2226 2 805 2227 3 1632 2228 0 - 2229 3 3456 2333 2 2380 2444 0 - 2555 2 3737 2666 1 1135 2777 5 601 2888 0 - 2999 2 151 3334 2 3319 3335 3 1434 3336 0 - 3337 3 1028 3338 2 4182 3339 2 2765

 Number ND NDSLA 3444 4 718 3555 4 1208 3666 3 944 3777 3 510 3888 1 4567 3999 4 414 4445 5 391 4446 4 1801 4447 5 2439 4448 1 2621 4449 4 1019 4555 1 1501 4666 2 889 4777 5 925 4888 5 488 4999 5 349 5556 2 2008 5557 4 1746

 Number ND NDSLA 5558 4 2618 5559 5 1248 5666 2 393 5777 2 344 5888 1 2310 5999 1 785 6667 5 79 6668 5 135 6669 3 3213 6777 1 5676 6888 1 3796 6999 1 5374 7778 3 491 7779 5 1274 7888 0 - 7999 2 1016 8889 0 - 8999 1 1146

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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 3559 2222 0 - 3333 1 64 4444 0 - 5555 0 - 6666 1 1339 7777 0 - 8888 0 - 9999 0 -

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