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

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

 Data updated on Friday, December 06, 2013 When playing Arkansas 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 ArkansasCash 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.

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

ArkansasCash 4winnig numbers by category
From Monday, July 12, 2010 to Friday, December 06, 2013)

• Total number of draws             = 2311
• Number of non-repeats drawn   = 1164 (50.37%)
• Number of one-repeating drawn = 1005 (43.49%)
• Number of dual-doubles drawn   = 62 (2.68%)
• Number of one-tripled drawn     = 77 (3.33%)
• Number of quadruples drawn      = 3 (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 1 2268 0124 7 5 0125 9 228 0126 3 8 0127 6 749 0128 6 183 0129 9 218 0134 9 1256 0135 7 299 0136 6 132 0137 3 415 0138 5 77 0139 7 520 0145 3 597 0146 5 102 0147 3 2054 0148 5 185 0149 7 124 0156 9 82 0157 6 440 0158 3 662 0159 7 38 0167 3 58 0168 8 604 0169 3 204 0178 5 62 0179 2 1758 0189 4 188 0234 4 336 0235 2 1229 0236 8 23 0237 4 100 0238 5 1158 0239 2 433 0245 5 198 0246 5 110 0247 5 726 0248 5 2 0249 4 238 0256 5 289 0257 7 239 0258 4 181

 Number ND NDSLA 0259 3 654 0267 4 151 0268 5 333 0269 9 13 0278 7 127 0279 4 74 0289 3 447 0345 6 260 0346 8 329 0347 9 633 0348 4 95 0349 6 71 0356 8 405 0357 6 766 0358 5 721 0359 4 335 0367 5 772 0368 4 837 0369 9 195 0378 6 199 0379 1 550 0389 5 131 0456 6 39 0457 6 115 0458 6 762 0459 3 19 0467 6 403 0468 4 693 0469 6 92 0478 6 86 0479 4 779 0489 9 178 0567 5 709 0568 4 618 0569 6 146 0578 8 66 0579 8 68 0589 6 187 0678 7 286 0679 5 24 0689 6 52 0789 2 1272

 Number ND NDSLA 1234 5 220 1235 9 29 1236 4 1074 1237 6 997 1238 8 586 1239 0 - 1245 9 282 1246 3 589 1247 9 332 1248 5 477 1249 5 90 1256 2 1898 1257 6 158 1258 6 465 1259 7 652 1267 12 159 1268 6 192 1269 6 331 1278 6 215 1279 3 1105 1289 8 279 1345 3 205 1346 4 10 1347 6 821 1348 4 650 1349 5 288 1356 6 293 1357 11 28 1358 10 42 1359 5 318 1367 6 625 1368 2 140 1369 5 99 1378 6 308 1379 8 138 1389 11 441 1456 3 909 1457 2 258 1458 5 45 1459 4 273 1467 5 507 1468 8 287

 Number ND NDSLA 1469 7 219 1478 4 30 1479 5 98 1489 4 445 1567 8 516 1568 8 566 1569 3 1249 1578 4 352 1579 6 270 1589 10 353 1678 5 51 1679 4 616 1689 7 458 1789 1 2190 2345 5 364 2346 10 517 2347 4 103 2348 5 6 2349 3 1202 2356 4 300 2357 8 136 2358 1 27 2359 4 908 2367 9 314 2368 5 369 2369 4 411 2378 6 359 2379 6 113 2389 8 60 2456 8 40 2457 4 1597 2458 2 1159 2459 3 342 2467 8 79 2468 6 56 2469 7 296 2478 6 14 2479 8 253 2489 3 121 2567 8 963 2568 4 179 2569 5 555

 Number ND NDSLA 2578 2 685 2579 6 463 2589 7 69 2678 4 22 2679 5 88 2689 7 791 2789 7 344 3456 8 73 3457 0 - 3458 7 96 3459 2 558 3467 3 542 3468 5 3 3469 10 739 3478 3 213 3479 2 1425 3489 2 1520 3567 8 256 3568 8 285 3569 9 41 3578 7 142 3579 4 1340 3589 5 527 3678 5 15 3679 9 118 3689 9 81 3789 7 18 4567 6 4 4568 4 384 4569 3 888 4578 6 105 4579 5 49 4589 2 189 4678 9 144 4679 7 425 4689 9 163 4789 7 338 5678 9 9 5679 2 590 5689 3 723 5789 7 184 6789 10 207

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

 Number ND NDSLA 0012 4 782 0013 5 374 0014 3 261 0015 3 500 0016 1 943 0017 0 - 0018 1 385 0019 6 196 0023 2 1975 0024 2 290 0025 5 330 0026 5 638 0027 2 518 0028 0 - 0029 5 503 0034 2 799 0035 4 37 0036 2 471 0037 3 174 0038 2 464 0039 5 430 0045 4 112 0046 3 700 0047 1 1848 0048 6 647 0049 3 829 0056 0 - 0057 2 578 0058 4 916 0059 4 43 0067 3 226 0068 3 201 0069 1 1310 0078 4 154 0079 1 891 0089 1 193 0112 4 428 0113 3 1301 0114 2 312 0115 2 1694 0116 4 171 0117 5 561 0118 2 825 0119 4 161 0122 2 532 0133 2 1164 0144 4 283 0155 3 959 0166 2 1594 0177 4 21 0188 2 157 0199 3 547 0223 1 933 0224 1 1279 0225 3 488 0226 4 348 0227 3 946 0228 4 563 0229 4 252 0233 2 539 0244 3 152 0255 2 1029 0266 0 - 0277 2 767 0288 2 120 0299 2 438 0334 4 569 0335 3 1119 0336 5 310 0337 3 242 0338 4 587 0339 1 1891

 Number ND NDSLA 0344 2 571 0355 1 78 0366 5 54 0377 4 519 0388 0 - 0399 1 1662 0445 1 1207 0446 2 1151 0447 2 835 0448 1 475 0449 1 794 0455 3 104 0466 3 224 0477 3 1580 0488 1 765 0499 3 965 0556 1 528 0557 3 733 0558 3 409 0559 5 237 0566 4 377 0577 5 514 0588 3 623 0599 1 1581 0667 2 856 0668 6 80 0669 4 106 0677 1 2099 0688 4 128 0699 4 59 0778 6 676 0779 1 1372 0788 1 134 0799 2 887 0889 5 117 0899 4 222 1123 2 1837 1124 4 540 1125 5 93 1126 2 326 1127 2 1064 1128 2 50 1129 1 1346 1134 2 402 1135 2 1004 1136 3 164 1137 6 108 1138 3 1121 1139 2 250 1145 1 1519 1146 5 941 1147 6 236 1148 3 523 1149 2 186 1156 1 783 1157 3 191 1158 3 396 1159 1 1524 1167 0 - 1168 3 533 1169 1 932 1178 3 574 1179 2 687 1189 7 160 1223 3 926 1224 2 889 1225 4 398 1226 4 248 1227 1 898 1228 1 468 1229 4 388 1233 7 259

 Number ND NDSLA 1244 3 1178 1255 3 871 1266 3 1342 1277 1 91 1288 4 1414 1299 4 139 1334 2 303 1335 4 732 1336 5 535 1337 0 - 1338 4 101 1339 5 7 1344 1 345 1355 4 472 1366 2 921 1377 4 663 1388 0 - 1399 4 297 1445 4 1104 1446 2 2036 1447 4 1156 1448 3 626 1449 4 17 1455 0 - 1466 3 26 1477 2 292 1488 2 389 1499 5 952 1556 3 311 1557 5 107 1558 1 1133 1559 7 147 1566 4 912 1577 2 35 1588 2 257 1599 4 269 1667 2 429 1668 5 962 1669 2 381 1677 2 636 1688 2 370 1699 1 2032 1778 5 729 1779 7 1233 1788 3 584 1799 2 1412 1889 2 245 1899 5 36 2234 1 452 2235 3 1199 2236 1 1815 2237 4 130 2238 5 119 2239 3 443 2245 1 211 2246 5 583 2247 2 1366 2248 2 537 2249 5 267 2256 2 1030 2257 0 - 2258 5 217 2259 0 - 2267 2 1260 2268 3 1353 2269 0 - 2278 0 - 2279 3 122 2289 4 65 2334 4 53 2335 0 - 2336 3 251

 Number ND NDSLA 2337 2 810 2338 4 190 2339 3 32 2344 2 923 2355 4 135 2366 5 175 2377 4 1008 2388 5 123 2399 4 168 2445 2 785 2446 3 1678 2447 0 - 2448 4 346 2449 0 - 2455 4 473 2466 3 0 2477 3 707 2488 0 - 2499 3 630 2556 6 400 2557 7 722 2558 1 1070 2559 4 599 2566 2 133 2577 3 2004 2588 3 33 2599 9 61 2667 1 1117 2668 5 16 2669 1 1073 2677 5 63 2688 4 44 2699 3 836 2778 4 751 2779 4 853 2788 2 12 2799 2 1245 2889 3 11 2899 2 1747 3345 3 1142 3346 2 459 3347 3 55 3348 2 525 3349 1 1324 3356 0 - 3357 4 393 3358 5 582 3359 2 1118 3367 1 1288 3368 3 454 3369 2 1751 3378 4 646 3379 3 1485 3389 6 502 3445 7 328 3446 5 200 3447 2 628 3448 0 - 3449 3 1094 3455 4 847 3466 1 1289 3477 5 593 3488 2 34 3499 1 634 3556 2 149 3557 3 1502 3558 3 176 3559 4 265 3566 1 2285 3577 4 509 3588 2 972 3599 2 366

 Number ND NDSLA 3667 1 879 3668 8 126 3669 1 990 3677 2 850 3688 2 1102 3699 0 - 3778 2 1494 3779 3 895 3788 1 1648 3799 1 424 3889 1 1737 3899 2 980 4456 1 1510 4457 1 1601 4458 3 1373 4459 4 172 4467 1 232 4468 4 1035 4469 4 262 4478 7 166 4479 0 - 4489 1 2200 4556 2 1661 4557 1 1729 4558 1 1922 4559 3 307 4566 2 432 4577 2 534 4588 2 792 4599 3 660 4667 7 327 4668 3 1017 4669 2 1404 4677 2 246 4688 2 1060 4699 1 499 4778 0 - 4779 3 162 4788 2 114 4799 0 - 4889 2 711 4899 3 31 5567 2 167 5568 6 276 5569 2 621 5578 3 591 5579 3 466 5589 5 320 5667 0 - 5668 4 1535 5669 3 474 5677 5 48 5688 2 1700 5699 1 209 5778 4 298 5779 0 - 5788 1 614 5799 3 1195 5889 5 141 5899 3 1332 6678 1 1635 6679 6 203 6689 1 1111 6778 2 1290 6779 3 169 6788 1 1698 6799 3 986 6889 3 156 6899 6 109 7789 2 553 7889 2 808 7899 2 944

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

 Number ND NDSLA 0011 1 678 0022 4 798 0033 2 367 0044 1 2279 0055 1 197 0066 0 - 0077 0 - 0088 1 84 0099 1 1972

 Number ND NDSLA 1122 1 457 1133 0 - 1144 1 2221 1155 1 2022 1166 1 2039 1177 6 877 1188 0 - 1199 3 720 2233 2 1901

 Number ND NDSLA 2244 2 777 2255 2 756 2266 2 347 2277 1 717 2288 3 401 2299 1 1795 3344 0 - 3355 2 1108 3366 2 575

 Number ND NDSLA 3377 3 899 3388 1 606 3399 2 1456 4455 3 322 4466 1 750 4477 0 - 4488 0 - 4499 1 351 5566 0 -

 Number ND NDSLA 5577 0 - 5588 1 1021 5599 2 820 6677 0 - 6688 1 860 6699 3 214 7788 2 1193 7799 0 - 8899 1 992

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

 Number ND NDSLA 0001 1 1500 0002 1 1788 0003 1 2230 0004 0 - 0005 1 1558 0006 3 480 0007 1 1750 0008 0 - 0009 1 1955 0111 0 - 0222 1 2280 0333 0 - 0444 0 - 0555 0 - 0666 1 20 0777 0 - 0888 0 - 0999 1 202

 Number ND NDSLA 1112 0 - 1113 0 - 1114 1 2238 1115 0 - 1116 0 - 1117 1 512 1118 0 - 1119 0 - 1222 2 557 1333 1 1327 1444 1 1495 1555 3 1214 1666 0 - 1777 0 - 1888 1 2277 1999 1 1821 2223 0 - 2224 1 1239

 Number ND NDSLA 2225 2 747 2226 1 1082 2227 2 1365 2228 0 - 2229 1 670 2333 0 - 2444 2 155 2555 0 - 2666 0 - 2777 0 - 2888 2 1964 2999 2 493 3334 0 - 3335 0 - 3336 0 - 3337 2 1596 3338 0 - 3339 2 1611

 Number ND NDSLA 3444 2 244 3555 1 249 3666 0 - 3777 0 - 3888 1 1417 3999 1 906 4445 1 1032 4446 1 75 4447 0 - 4448 1 919 4449 1 496 4555 1 1286 4666 2 323 4777 0 - 4888 2 278 4999 0 - 5556 0 - 5557 0 -

 Number ND NDSLA 5558 3 234 5559 2 284 5666 0 - 5777 2 315 5888 0 - 5999 1 667 6667 1 1 6668 0 - 6669 3 505 6777 2 72 6888 1 489 6999 1 1565 7778 1 1128 7779 1 46 7888 1 910 7999 2 522 8889 1 1026 8999 1 182

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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 2 1034 2222 1 1516 3333 0 - 4444 0 - 5555 0 - 6666 0 - 7777 0 - 8888 0 - 9999 0 -

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