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

Pennsylvania Lottery Big 4 Boxes(numbers in any order) Data

 Data updated on Thursday, May 23, 2013 When playing Pennsylvania Big 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 Big 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 PennsylvaniaBig 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; Big 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 Big 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 Big 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.

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

PennsylvaniaBig 4winnig numbers by category
From Saturday, November 22, 1980 to Thursday, May 23, 2013)

• Total number of draws             = 13825
• Number of non-repeats drawn   = 6933 (50.15%)
• Number of one-repeating drawn = 5963 (43.13%)
• Number of dual-doubles drawn   = 425 (3.07%)
• Number of one-tripled drawn     = 490 (3.54%)
• Number of quadruples drawn      = 14 (0.10%)

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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 28 21 0124 32 937 0125 27 212 0126 33 1144 0127 34 623 0128 33 829 0129 19 524 0134 40 505 0135 34 311 0136 33 136 0137 37 546 0138 35 701 0139 40 120 0145 47 182 0146 43 687 0147 49 26 0148 29 103 0149 33 15 0156 43 187 0157 17 1396 0158 29 1289 0159 20 86 0167 24 335 0168 29 990 0169 30 498 0178 36 479 0179 37 81 0189 30 11 0234 44 473 0235 32 394 0236 26 256 0237 31 321 0238 39 168 0239 42 164 0245 32 123 0246 35 170 0247 39 294 0248 22 1116 0249 34 147 0256 32 785 0257 39 138 0258 26 5

 Number ND NDSLA 0259 40 525 0267 42 8 0268 28 166 0269 37 74 0278 34 565 0279 30 16 0289 39 93 0345 28 1105 0346 36 249 0347 37 245 0348 31 201 0349 20 1060 0356 35 271 0357 36 142 0358 34 92 0359 36 7 0367 28 660 0368 41 251 0369 33 521 0378 33 60 0379 27 559 0389 50 32 0456 40 73 0457 37 1564 0458 39 34 0459 27 690 0467 25 234 0468 32 59 0469 36 663 0478 27 173 0479 31 980 0489 31 1349 0567 30 151 0568 31 752 0569 28 1263 0578 26 186 0579 30 1266 0589 34 117 0678 36 603 0679 25 707 0689 36 1124 0789 36 107

 Number ND NDSLA 1234 39 558 1235 34 377 1236 22 2084 1237 27 108 1238 25 779 1239 29 165 1245 21 58 1246 31 407 1247 37 167 1248 30 224 1249 32 101 1256 36 94 1257 32 1141 1258 23 227 1259 40 641 1267 30 1284 1268 35 1062 1269 25 408 1278 23 654 1279 39 266 1289 41 442 1345 37 397 1346 44 210 1347 42 438 1348 31 221 1349 33 634 1356 21 236 1357 28 1834 1358 35 129 1359 38 905 1367 40 215 1368 41 787 1369 35 200 1378 23 508 1379 37 282 1389 28 718 1456 39 299 1457 30 172 1458 35 75 1459 27 533 1467 31 587 1468 46 111

 Number ND NDSLA 1469 30 411 1478 32 113 1479 26 102 1489 34 116 1567 37 0 1568 36 65 1569 32 50 1578 29 974 1579 31 118 1589 43 33 1678 21 148 1679 31 717 1689 40 566 1789 27 115 2345 33 310 2346 28 515 2347 38 181 2348 38 893 2349 37 418 2356 32 343 2357 26 1 2358 31 1011 2359 32 278 2367 30 428 2368 33 171 2369 30 520 2378 29 2147 2379 35 67 2389 30 192 2456 28 683 2457 38 1157 2458 34 522 2459 33 52 2467 40 298 2468 29 372 2469 34 64 2478 28 90 2479 39 798 2489 24 1016 2567 31 225 2568 30 235 2569 30 223

 Number ND NDSLA 2578 35 691 2579 32 1439 2589 32 662 2678 30 207 2679 31 137 2689 24 356 2789 36 349 3456 35 149 3457 33 79 3458 34 146 3459 34 262 3467 34 87 3468 28 233 3469 36 230 3478 44 360 3479 31 570 3489 29 481 3567 46 66 3568 41 1037 3569 21 169 3578 24 276 3579 28 1292 3589 28 244 3678 39 40 3679 44 163 3689 32 240 3789 38 399 4567 30 414 4568 26 30 4569 39 39 4578 39 160 4579 35 606 4589 45 324 4678 32 110 4679 24 25 4689 25 416 4789 41 22 5678 42 76 5679 34 80 5689 46 95 5789 38 57 6789 31 272

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

 Number ND NDSLA 0012 14 1759 0013 15 1586 0014 15 741 0015 17 1159 0016 16 194 0017 14 1041 0018 18 1056 0019 24 154 0023 17 596 0024 21 199 0025 15 150 0026 24 838 0027 17 880 0028 14 1471 0029 12 3879 0034 19 713 0035 12 2022 0036 16 422 0037 14 367 0038 19 325 0039 17 430 0045 12 13 0046 17 290 0047 9 3677 0048 19 608 0049 21 380 0056 17 99 0057 16 402 0058 24 817 0059 10 1175 0067 12 89 0068 15 14 0069 11 316 0078 11 3911 0079 21 1209 0089 18 49 0112 17 573 0113 12 1624 0114 14 17 0115 18 122 0116 17 1999 0117 20 358 0118 8 53 0119 18 24 0122 23 361 0133 20 1445 0144 19 503 0155 17 209 0166 14 3118 0177 12 810 0188 18 283 0199 21 386 0223 19 1088 0224 18 36 0225 17 23 0226 17 437 0227 17 597 0228 16 454 0229 14 3208 0233 19 280 0244 25 303 0255 11 1450 0266 28 350 0277 22 56 0288 15 477 0299 22 139 0334 18 1688 0335 25 70 0336 10 434 0337 17 184 0338 27 214 0339 15 646

 Number ND NDSLA 0344 14 77 0355 24 159 0366 17 51 0377 13 781 0388 15 54 0399 19 78 0445 19 1299 0446 16 197 0447 14 3762 0448 16 519 0449 8 544 0455 15 799 0466 22 737 0477 22 363 0488 10 1031 0499 16 693 0556 16 162 0557 13 1020 0558 19 143 0559 18 542 0566 18 808 0577 13 3861 0588 20 243 0599 13 3 0667 14 1038 0668 17 248 0669 20 3310 0677 16 293 0688 20 1465 0699 12 409 0778 11 2810 0779 13 523 0788 21 135 0799 9 466 0889 14 2851 0899 19 465 1123 17 1531 1124 15 682 1125 12 1651 1126 12 811 1127 10 352 1128 16 339 1129 24 193 1134 15 517 1135 16 1756 1136 21 775 1137 15 750 1138 23 1309 1139 17 703 1145 10 1442 1146 17 19 1147 15 2021 1148 27 692 1149 13 1372 1156 13 387 1157 15 398 1158 15 700 1159 21 684 1167 20 4 1168 15 1189 1169 18 98 1178 23 208 1179 18 933 1189 12 2216 1223 17 370 1224 10 631 1225 6 669 1226 19 323 1227 16 875 1228 14 2108 1229 10 661 1233 21 656

 Number ND NDSLA 1244 11 1414 1255 19 127 1266 23 345 1277 14 2423 1288 13 385 1299 22 744 1334 17 237 1335 14 96 1336 19 532 1337 12 413 1338 16 253 1339 17 1252 1344 13 472 1355 21 104 1366 11 3195 1377 19 389 1388 15 1145 1399 15 564 1445 22 2146 1446 10 1078 1447 17 617 1448 17 84 1449 10 1964 1455 17 46 1466 15 319 1477 20 2032 1488 9 3466 1499 14 1849 1556 10 261 1557 21 1558 1558 5 2065 1559 14 71 1566 18 753 1577 16 850 1588 13 1638 1599 21 1984 1667 11 2099 1668 9 1249 1669 13 1491 1677 22 340 1688 18 951 1699 15 391 1778 16 1043 1779 17 1328 1788 22 655 1799 16 926 1889 12 267 1899 7 1802 2234 19 35 2235 20 766 2236 21 1022 2237 21 595 2238 15 1316 2239 17 85 2245 16 486 2246 17 1073 2247 21 531 2248 21 495 2249 10 2372 2256 18 467 2257 16 213 2258 25 44 2259 24 176 2267 17 982 2268 15 329 2269 20 1480 2278 17 1048 2279 23 1869 2289 24 390 2334 15 709 2335 21 2023 2336 9 2058

 Number ND NDSLA 2337 16 1679 2338 11 782 2339 16 919 2344 16 258 2355 18 205 2366 13 2004 2377 19 814 2388 12 455 2399 17 723 2445 13 860 2446 20 461 2447 16 130 2448 16 746 2449 17 499 2455 19 630 2466 19 981 2477 24 854 2488 15 42 2499 17 1461 2556 24 355 2557 18 100 2558 9 1457 2559 10 1902 2566 9 257 2577 15 2969 2588 22 445 2599 15 27 2667 9 2182 2668 13 1430 2669 17 649 2677 19 2008 2688 13 474 2699 19 446 2778 22 582 2779 16 1844 2788 14 2183 2799 17 881 2889 10 3684 2899 13 487 3345 18 392 3346 16 10 3347 10 2938 3348 17 961 3349 26 452 3356 16 178 3357 14 1814 3358 17 305 3359 19 378 3367 13 2296 3368 18 913 3369 11 1832 3378 13 1313 3379 16 28 3389 25 816 3445 15 1298 3446 19 930 3447 20 31 3448 13 216 3449 15 109 3455 25 1034 3466 10 1071 3477 17 874 3488 23 424 3499 26 1683 3556 11 844 3557 16 1790 3558 15 180 3559 21 645 3566 20 144 3577 18 1390 3588 15 9 3599 21 134

 Number ND NDSLA 3667 19 435 3668 12 1456 3669 10 158 3677 18 694 3688 17 2306 3699 19 284 3778 14 795 3779 17 760 3788 12 263 3799 16 220 3889 21 119 3899 8 2771 4456 19 1234 4457 7 1134 4458 14 383 4459 22 314 4467 14 217 4468 17 1427 4469 20 1280 4478 17 463 4479 19 611 4489 18 2620 4556 12 638 4557 23 274 4558 15 805 4559 19 132 4566 13 1360 4577 14 38 4588 11 1103 4599 17 2415 4667 15 359 4668 21 626 4669 18 1907 4677 22 128 4688 11 1017 4699 17 984 4778 22 757 4779 16 301 4788 22 1800 4799 22 429 4889 26 768 4899 10 48 5567 19 412 5568 14 3524 5569 12 6 5578 10 1470 5579 21 1511 5589 20 1186 5667 20 696 5668 18 206 5669 14 1185 5677 18 55 5688 15 584 5699 25 238 5778 17 538 5779 17 2017 5788 13 540 5799 18 1275 5889 21 772 5899 16 1296 6678 16 749 6679 21 894 6689 16 419 6778 17 375 6779 18 239 6788 20 395 6799 12 246 6889 18 1784 6899 20 475 7789 18 469 7889 14 369 7899 25 41

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

 Number ND NDSLA 0011 11 1796 0022 9 1338 0033 9 114 0044 11 336 0055 11 659 0066 11 242 0077 7 2413 0088 9 618 0099 12 124

 Number ND NDSLA 1122 7 2682 1133 13 601 1144 11 577 1155 9 63 1166 8 3462 1177 10 2260 1188 7 4348 1199 6 88 2233 10 366

 Number ND NDSLA 2244 8 20 2255 13 133 2266 7 4544 2277 9 2526 2288 10 2409 2299 7 2485 3344 9 5156 3355 11 1722 3366 8 37

 Number ND NDSLA 3377 9 2863 3388 12 6614 3399 7 976 4455 12 273 4466 10 161 4477 11 1733 4488 11 287 4499 11 1454 5566 11 332

 Number ND NDSLA 5577 4 2 5588 9 2480 5599 8 3329 6677 9 1107 6688 6 924 6699 12 354 7788 15 657 7799 11 29 8899 4 1710

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

 Number ND NDSLA 0001 3 436 0002 8 1870 0003 6 3215 0004 5 6379 0005 6 2825 0006 8 2705 0007 4 2866 0008 4 1269 0009 9 1500 0111 1 1476 0222 4 7104 0333 4 1608 0444 5 1599 0555 6 1792 0666 2 3314 0777 4 4361 0888 4 1054 0999 7 1243

 Number ND NDSLA 1112 7 269 1113 5 2807 1114 3 535 1115 8 2110 1116 4 1373 1117 9 1064 1118 7 513 1119 6 563 1222 6 2979 1333 8 605 1444 5 6632 1555 3 8639 1666 4 3566 1777 4 247 1888 6 5316 1999 4 3051 2223 11 449 2224 7 45

 Number ND NDSLA 2225 11 2154 2226 0 - 2227 2 2890 2228 5 940 2229 9 2471 2333 11 153 2444 4 177 2555 5 837 2666 4 868 2777 6 526 2888 9 2367 2999 7 97 3334 3 5336 3335 8 4441 3336 7 1845 3337 7 179 3338 4 3430 3339 6 908

 Number ND NDSLA 3444 5 899 3555 5 3382 3666 5 3775 3777 5 6187 3888 6 704 3999 6 610 4445 0 - 4446 3 3503 4447 5 6866 4448 5 545 4449 5 6130 4555 7 69 4666 3 5444 4777 3 967 4888 2 1728 4999 4 1684 5556 6 578 5557 4 1161

 Number ND NDSLA 5558 3 275 5559 1 13082 5666 4 344 5777 5 4373 5888 7 6242 5999 8 196 6667 6 4168 6668 4 91 6669 7 279 6777 6 855 6888 5 7023 6999 8 12 7778 10 4112 7779 7 2135 7888 4 18 7999 12 384 8889 4 5476 8999 5 1320

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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 2 362 2222 2 3449 3333 1 5906 4444 3 2133 5555 1 6263 6666 0 - 7777 3 2298 8888 2 2114 9999 0 -

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