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

# Oklahoma Lottery Pick 4 Boxes(numbers in any order) Data

 Data updated on Saturday, September 14, 2013 When playing Oklahoma Pick 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 Pick 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 OklahomaPick 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; Pick 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 Pick 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 Pick 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.

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

OklahomaPick 4winnig numbers by category
From Tuesday, July 05, 2011 to Saturday, September 14, 2013)

• Total number of draws             = 803
• Number of non-repeats drawn   = 411 (51.18%)
• Number of one-repeating drawn = 347 (43.21%)
• Number of dual-doubles drawn   = 20 (2.49%)
• Number of one-tripled drawn     = 23 (2.86%)
• Number of quadruples drawn      = 2 (0.25%)

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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 1 340 0124 1 607 0125 0 - 0126 4 139 0127 1 233 0128 3 61 0129 0 - 0134 2 360 0135 3 9 0136 1 399 0137 2 313 0138 2 83 0139 1 774 0145 0 - 0146 1 333 0147 4 35 0148 6 253 0149 3 596 0156 4 146 0157 0 - 0158 3 64 0159 3 428 0167 2 113 0168 3 232 0169 1 513 0178 1 354 0179 1 654 0189 0 - 0234 3 165 0235 0 - 0236 0 - 0237 2 39 0238 2 167 0239 4 186 0245 1 591 0246 2 121 0247 1 571 0248 1 569 0249 4 62 0256 1 522 0257 4 520 0258 3 369

 Number ND NDSLA 0259 2 109 0267 4 209 0268 3 44 0269 2 545 0278 1 483 0279 2 75 0289 3 133 0345 1 588 0346 1 311 0347 3 505 0348 0 - 0349 3 346 0356 0 - 0357 0 - 0358 1 224 0359 0 - 0367 1 252 0368 0 - 0369 2 330 0378 3 86 0379 0 - 0389 1 667 0456 3 365 0457 0 - 0458 2 468 0459 1 91 0467 1 477 0468 4 268 0469 2 189 0478 2 256 0479 2 213 0489 2 18 0567 2 33 0568 2 717 0569 3 270 0578 1 709 0579 3 67 0589 3 196 0678 5 304 0679 3 172 0689 3 205 0789 2 247

 Number ND NDSLA 1234 1 480 1235 0 - 1236 2 94 1237 1 516 1238 5 120 1239 1 549 1245 5 12 1246 2 81 1247 4 271 1248 3 269 1249 3 131 1256 1 162 1257 3 249 1258 0 - 1259 2 542 1267 3 129 1268 2 404 1269 6 78 1278 0 - 1279 0 - 1289 3 455 1345 3 155 1346 2 261 1347 1 680 1348 3 423 1349 4 31 1356 3 19 1357 2 312 1358 2 166 1359 3 344 1367 1 475 1368 2 463 1369 0 - 1378 4 90 1379 3 370 1389 1 25 1456 0 - 1457 4 14 1458 2 108 1459 2 59 1467 2 125 1468 1 384

 Number ND NDSLA 1469 1 461 1478 1 13 1479 2 580 1489 0 - 1567 1 582 1568 4 6 1569 3 98 1578 2 53 1579 3 438 1589 2 147 1678 3 3 1679 4 17 1689 6 102 1789 3 2 2345 1 647 2346 3 42 2347 0 - 2348 1 55 2349 2 321 2356 0 - 2357 0 - 2358 3 22 2359 3 93 2367 4 100 2368 1 762 2369 2 203 2378 2 347 2379 0 - 2389 2 421 2456 2 84 2457 2 97 2458 1 250 2459 6 1 2467 4 70 2468 1 652 2469 1 400 2478 0 - 2479 2 704 2489 2 127 2567 0 - 2568 3 350 2569 3 82

 Number ND NDSLA 2578 3 130 2579 1 694 2589 0 - 2678 2 590 2679 4 180 2689 5 51 2789 1 361 3456 1 174 3457 1 298 3458 2 7 3459 3 374 3467 2 430 3468 3 306 3469 3 137 3478 1 251 3479 3 10 3489 1 517 3567 1 484 3568 1 328 3569 1 460 3578 2 628 3579 1 345 3589 1 324 3678 2 267 3679 0 - 3689 3 134 3789 1 453 4567 2 578 4568 1 573 4569 1 357 4578 2 15 4579 1 297 4589 4 8 4678 2 238 4679 1 101 4689 1 229 4789 2 337 5678 2 362 5679 0 - 5689 2 403 5789 1 239 6789 2 623

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

 Number ND NDSLA 0012 1 173 0013 1 242 0014 1 608 0015 4 150 0016 0 - 0017 2 58 0018 0 - 0019 2 193 0023 1 431 0024 2 285 0025 1 237 0026 1 561 0027 0 - 0028 1 74 0029 0 - 0034 3 88 0035 1 282 0036 0 - 0037 0 - 0038 0 - 0039 1 721 0045 4 123 0046 2 440 0047 2 112 0048 1 566 0049 1 207 0056 2 156 0057 0 - 0058 1 718 0059 0 - 0067 1 794 0068 2 161 0069 2 534 0078 0 - 0079 0 - 0089 1 751 0112 1 281 0113 0 - 0114 2 54 0115 0 - 0116 0 - 0117 0 - 0118 2 30 0119 0 - 0122 2 236 0133 1 183 0144 0 - 0155 2 349 0166 0 - 0177 1 550 0188 0 - 0199 0 - 0223 0 - 0224 1 576 0225 2 649 0226 2 52 0227 0 - 0228 0 - 0229 1 749 0233 3 145 0244 1 402 0255 0 - 0266 3 4 0277 1 124 0288 1 415 0299 2 122 0334 1 348 0335 1 277 0336 0 - 0337 1 510 0338 0 - 0339 0 -

 Number ND NDSLA 0344 0 - 0355 1 157 0366 0 - 0377 2 107 0388 1 243 0399 1 41 0445 0 - 0446 2 537 0447 2 195 0448 0 - 0449 0 - 0455 0 - 0466 1 646 0477 0 - 0488 0 - 0499 1 634 0556 0 - 0557 0 - 0558 2 764 0559 1 768 0566 0 - 0577 0 - 0588 5 308 0599 1 659 0667 0 - 0668 2 323 0669 0 - 0677 0 - 0688 0 - 0699 0 - 0778 2 191 0779 2 255 0788 0 - 0799 0 - 0889 0 - 0899 0 - 1123 4 46 1124 0 - 1125 2 63 1126 1 315 1127 1 38 1128 0 - 1129 2 34 1134 4 246 1135 0 - 1136 0 - 1137 1 645 1138 1 138 1139 1 152 1145 0 - 1146 1 73 1147 1 47 1148 1 60 1149 1 79 1156 0 - 1157 1 181 1158 0 - 1159 0 - 1167 0 - 1168 0 - 1169 2 190 1178 1 198 1179 0 - 1189 1 184 1223 0 - 1224 0 - 1225 2 626 1226 0 - 1227 1 87 1228 0 - 1229 2 144 1233 3 66

 Number ND NDSLA 1244 2 436 1255 2 557 1266 0 - 1277 0 - 1288 1 780 1299 4 223 1334 1 583 1335 0 - 1336 0 - 1337 0 - 1338 1 554 1339 3 143 1344 1 473 1355 0 - 1366 1 286 1377 1 758 1388 2 117 1399 1 797 1445 2 95 1446 0 - 1447 0 - 1448 0 - 1449 1 474 1455 0 - 1466 0 - 1477 1 563 1488 1 392 1499 0 - 1556 3 56 1557 0 - 1558 1 405 1559 2 327 1566 1 750 1577 0 - 1588 0 - 1599 0 - 1667 0 - 1668 0 - 1669 1 739 1677 1 266 1688 0 - 1699 0 - 1778 2 690 1779 0 - 1788 0 - 1799 1 11 1889 2 544 1899 0 - 2234 1 244 2235 0 - 2236 2 420 2237 0 - 2238 0 - 2239 0 - 2245 0 - 2246 0 - 2247 1 215 2248 2 317 2249 0 - 2256 0 - 2257 4 32 2258 3 27 2259 2 383 2267 2 292 2268 2 50 2269 0 - 2278 0 - 2279 2 254 2289 0 - 2334 3 29 2335 2 24 2336 3 154

 Number ND NDSLA 2337 0 - 2338 1 466 2339 1 380 2344 2 390 2355 1 733 2366 0 - 2377 1 231 2388 0 - 2399 0 - 2445 1 57 2446 1 782 2447 0 - 2448 2 275 2449 0 - 2455 1 388 2466 3 26 2477 1 141 2488 1 712 2499 1 433 2556 1 128 2557 0 - 2558 0 - 2559 0 - 2566 1 533 2577 1 479 2588 1 99 2599 3 16 2667 0 - 2668 2 118 2669 1 279 2677 1 766 2688 2 111 2699 0 - 2778 1 535 2779 0 - 2788 0 - 2799 0 - 2889 1 45 2899 0 - 3345 3 280 3346 0 - 3347 1 684 3348 1 208 3349 0 - 3356 1 497 3357 3 85 3358 2 487 3359 0 - 3367 0 - 3368 2 149 3369 1 372 3378 1 543 3379 2 556 3389 1 214 3445 0 - 3446 0 - 3447 1 358 3448 1 334 3449 1 783 3455 1 386 3466 1 777 3477 1 182 3488 1 71 3499 1 151 3556 1 565 3557 1 43 3558 2 140 3559 0 - 3566 3 177 3577 1 218 3588 1 210 3599 1 800

 Number ND NDSLA 3667 1 679 3668 2 648 3669 2 661 3677 0 - 3688 2 89 3699 1 170 3778 0 - 3779 1 703 3788 1 735 3799 1 0 3889 0 - 3899 2 379 4456 2 227 4457 3 259 4458 0 - 4459 2 368 4467 0 - 4468 1 603 4469 0 - 4478 1 562 4479 2 397 4489 0 - 4556 1 793 4557 1 278 4558 1 629 4559 2 287 4566 2 225 4577 0 - 4588 0 - 4599 2 373 4667 1 289 4668 0 - 4669 1 720 4677 2 49 4688 0 - 4699 3 443 4778 2 23 4779 0 - 4788 2 471 4799 1 511 4889 1 409 4899 4 171 5567 1 126 5568 1 568 5569 0 - 5578 0 - 5579 0 - 5589 1 199 5667 1 68 5668 1 119 5669 2 201 5677 1 179 5688 1 491 5699 0 - 5778 0 - 5779 1 666 5788 2 262 5799 2 21 5889 0 - 5899 1 508 6678 0 - 6679 1 301 6689 3 105 6778 1 610 6779 0 - 6788 1 442 6799 1 716 6889 2 72 6899 0 - 7789 2 114 7889 3 104 7899 0 -

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

 Number ND NDSLA 0011 0 - 0022 1 412 0033 1 553 0044 2 110 0055 1 434 0066 0 - 0077 0 - 0088 0 - 0099 0 -

 Number ND NDSLA 1122 0 - 1133 0 - 1144 0 - 1155 0 - 1166 0 - 1177 1 424 1188 0 - 1199 1 106 2233 2 393

 Number ND NDSLA 2244 1 192 2255 1 163 2266 1 600 2277 2 329 2288 1 217 2299 0 - 3344 0 - 3355 0 - 3366 0 -

 Number ND NDSLA 3377 0 - 3388 0 - 3399 1 5 4455 1 69 4466 3 197 4477 0 - 4488 0 - 4499 0 - 5566 0 -

 Number ND NDSLA 5577 0 - 5588 0 - 5599 0 - 6677 0 - 6688 0 - 6699 0 - 7788 0 - 7799 0 - 8899 0 -

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

 Number ND NDSLA 0001 0 - 0002 1 228 0003 1 221 0004 0 - 0005 0 - 0006 1 541 0007 1 601 0008 0 - 0009 1 36 0111 0 - 0222 0 - 0333 0 - 0444 0 - 0555 0 - 0666 0 - 0777 0 - 0888 1 727 0999 0 -

 Number ND NDSLA 1112 1 376 1113 1 338 1114 1 103 1115 0 - 1116 0 - 1117 0 - 1118 0 - 1119 0 - 1222 0 - 1333 0 - 1444 0 - 1555 0 - 1666 0 - 1777 0 - 1888 0 - 1999 0 - 2223 0 - 2224 0 -

 Number ND NDSLA 2225 0 - 2226 0 - 2227 1 612 2228 1 702 2229 0 - 2333 0 - 2444 0 - 2555 0 - 2666 0 - 2777 0 - 2888 0 - 2999 0 - 3334 1 665 3335 0 - 3336 2 419 3337 0 - 3338 0 - 3339 1 378

 Number ND NDSLA 3444 0 - 3555 0 - 3666 0 - 3777 0 - 3888 0 - 3999 0 - 4445 0 - 4446 0 - 4447 0 - 4448 0 - 4449 0 - 4555 0 - 4666 1 439 4777 0 - 4888 1 20 4999 0 - 5556 0 - 5557 0 -

 Number ND NDSLA 5558 0 - 5559 0 - 5666 1 671 5777 0 - 5888 2 385 5999 0 - 6667 0 - 6668 0 - 6669 0 - 6777 0 - 6888 0 - 6999 0 - 7778 0 - 7779 1 264 7888 0 - 7999 2 136 8889 0 - 8999 0 -

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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 0 - 2222 0 - 3333 1 527 4444 1 693 5555 0 - 6666 0 - 7777 0 - 8888 0 - 9999 0 -

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