In the following combinations there are but 1560, where there might be 76076; and if this latter number were printed and sold, some one must hold the three first drawn numbers, every ticket-holder having one chance out of 76076 of drawing the capital prize. But, in this combination, if a man were to purchase the whole of the tickets, being 1560, there would still be 49 chances against his holding the three first numbers, to one for it. As there are no two tickets holding the same three numbers, of course but one can hold the three first, which is the prize.

200206201202203204
15001234
1 9 76 1 9 771 10 771 10 781 11 21
2 10 77 2 10 782 11 782 11 772 12 22
3 11 78 3 11 763 12 533 12 763 13 23
4 12 75 4 12 744 13 544 13 754 14 24
5 13 74 5 13 755 14 555 14 745 15 25
6 14 73Here ends Fifteen Packages of Half Tickets. The following Packages are Quarters.6 14 726 15 566 15 726 16 26
7 15 72 7 15 737 16 577 16 717 17 27
8 16 71 8 16 708 17 588 17 708 18 28
17 52 70 17 51 719 18 599 18 699 19 29
18 51 69 18 50 6919 52 6019 36 6810 20 30
19 50 68 19 49 6820 40 7220 37 6731 41 51
20 49 67 20 48 6721 50 6221 38 6632 42 52
21 48 66 21 47 6622 49 6322 39 6533 43 53
22 47 65 22 46 6523 48 6423 40 6434 44 54
23 46 64 23 45 6424 47 6524 41 6235 45 55
24 45 63 24 44 6125 46 6625 45 6336 46 56
25 44 62 25 43 6226 45 6726 43 6037 47 57
26 43 61 26 42 6327 44 6827 44 6138 48 58
27 42 60 27 41 6028 43 6928 42 5939 49 59
28 41 59 28 40 5929 42 7029 46 5840 50 60
29 40 58 29 39 5830 41 7130 47 5761 67 73
30 39 57 30 38 5731 51 6131 48 5662 68 74
31 38 56 31 37 5632 39 7332 49 5563 69 75
32 37 55 32 36 5533 38 7433 50 5464 70 76
33 36 54 33 35 5334 37 7534 51 5365 71 77
34 35 53 34 52 5435 36 7635 52 7366 72 78

By a little investigation, any one may discover that his chance for drawing a prize, even of a trifling amount, is extremely small. By the following method any one may ascertain the number of combinations which any given number will produce, as in the present case, 78 × 77 × 76 = 456456 ÷ 6 = 76076, the number of combinations of three numbers each; the 78 multiplied by 77, and the product by 76, and that product divided by 6 gives the number of combinations of three numbers each, which the numbers from 1 to 78 will produce, no two combinations containing the same three numbers.

205206207208209210
5678910
1 12 231 13 251 14 271 15 291 16 311 17 33
2 13 242 14 262 15 282 16 392 17 322 18 34
3 14 253 15 273 16 293 17 313 18 333 19 35
4 15 264 16 284 17 304 18 324 19 344 20 36
5 16 275 17 295 18 315 19 335 20 355 21 37
6 17 286 18 306 19 326 20 346 21 366 22 38
7 18 297 19 317 20 347 21 357 22 377 23 39
8 19 308 20 328 21 338 22 368 23 388 24 40
9 20 319 21 339 22 359 23 379 24 399 25 41
10 21 3210 22 3410 23 3610 24 3810 25 4010 26 42
11 22 3311 23 3511 24 3711 25 3911 26 4111 27 43
34 45 5612 24 3612 25 3812 26 4012 27 4212 28 44
35 46 5737 49 6113 26 3913 27 4113 28 4313 29 45
36 47 5838 50 6240 53 6614 28 4214 29 4414 30 46
37 48 5939 51 6341 54 6743 55 6715 30 4515 31 47
38 49 6040 52 6442 55 6844 56 6846 57 6816 32 48
39 50 6141 53 6543 56 6945 57 6947 58 6949 59 69
40 51 6242 54 6644 57 7046 58 7048 59 7050 60 70
41 52 6343 55 6745 58 7147 59 7149 60 7151 61 71
42 53 6444 56 6846 59 7248 60 7250 61 7252 62 72
43 54 6544 55 6645 47 7349 61 7351 62 7353 63 73
44 55 6646 58 7048 61 7450 62 7452 63 7454 64 74
67 71 7647 59 7249 62 7551 63 7553 64 7555 65 75
68 72 7548 60 7150 63 7652 64 7654 65 7656 66 76
69 73 7873 75 7751 64 7753 65 7755 66 7757 67 77
70 74 7774 76 7852 65 7854 66 7866 67 7858 68 78
296297298299300301
111213141522
1 18 351 19 371 20 391 21 411 22 431 23 45
2 19 362 20 382 21 402 22 422 23 442 24 46
3 20 373 21 393 22 413 23 433 24 453 25 47
4 21 384 22 404 23 424 24 444 25 464 26 48
5 22 395 23 415 24 435 25 455 26 475 27 49
6 23 406 24 426 25 446 26 466 27 486 28 50
7 24 417 25 437 26 457 27 477 28 497 29 51
8 25 428 26 448 27 468 28 488 29 508 30 52
9 26 439 27 459 28 479 29 499 30 519 31 53
10 27 4410 28 4610 29 4810 30 5010 31 5210 32 54
11 28 4511 29 4711 30 4911 31 5111 32 5311 33 55
12 29 4612 30 4812 31 5012 32 5212 33 5412 34 56
13 30 4713 31 4913 32 5113 33 5313 34 5513 35 57
14 31 4814 32 5014 33 5214 34 5414 35 5614 36 58
15 32 4915 33 5115 34 5315 35 5515 36 5715 37 59
16 33 5016 34 5216 35 5416 36 5616 37 5816 38 60
17 34 5117 35 5317 36 5517 37 5717 38 5917 39 61
52 61 7018 36 5418 37 5618 38 5818 39 6018 40 62
53 62 7155 63 7119 38 5719 39 5919 40 6119 41 63
54 63 7256 64 7258 65 7220 40 6020 41 6220 42 64
55 64 7357 65 7359 66 7361 67 7421 42 6321 43 66
56 65 7458 66 7460 67 7462 68 7364 69 7422 44 65
57 66 7559 67 7561 68 7563 69 7665 70 7567 71 75
58 67 7660 68 7662 69 7664 70 7566 71 7668 72 76
59 68 7761 69 7763 70 7765 71 7867 72 7769 73 77
60 69 7862 70 7864 71 7866 72 7768 73 7870 74 78

Lottery-dealers are aware of the great odds against the buyers, and are very cautious in keeping all the secrets of a fraud to themselves, by which they are robbing the public continually. But it shall not be the fault of the writer of these pages if their swindling machinations are longer concealed from the community. Thousands upon thousands of dollars are expended annually in lottery tickets in this country; and how very seldom is it that you hear of a capital prize having been drawn! If there should chance to be a prize of any magnitude awarded to a ticket-holder, it is trumpeted from one end of the Union to the other, by those most interested in lottery speculations, stimulating others to try their luck, and by that means making their very losses minister to their gain; for, in all likelihood, months and years may elapse before another large prize will be drawn from the same lottery.

302303304305306307
171819202122
1 24 471 25 491 26 511 12 241 13 271 14 39
2 25 482 26 502 27 522 13 252 14 282 15 38
3 26 493 27 513 28 533 14 263 15 293 16 37
4 27 504 28 524 29 544 15 274 16 304 17 36
5 28 515 29 535 30 555 16 285 17 315 18 35
6 29 526 30 546 31 566 17 296 18 326 19 34
7 30 537 31 557 32 577 18 307 19 337 20 33
8 31 548 32 568 33 588 19 318 20 348 21 32
9 32 559 33 579 34 599 20 329 21 359 22 31
10 33 5610 34 5810 35 6010 21 3310 22 3610 23 30
11 34 5711 35 5911 36 6111 22 3411 23 2611 24 29
12 35 5812 36 6012 37 6223 49 6612 24 2512 25 28
13 36 5913 37 6113 38 6335 50 6537 51 6513 26 27
14 37 6014 38 6214 39 6436 51 6438 52 6640 53 78
15 38 6115 39 6315 40 6637 52 6739 53 6741 54 77
16 39 6216 40 6416 41 6538 53 6940 54 6842 55 76
17 40 6317 41 6517 42 6739 54 6841 55 6943 56 75
18 41 6418 42 6618 43 6840 55 7042 56 7044 57 74
19 42 6519 43 6719 44 6941 56 7143 57 7145 58 73
20 43 6620 44 6820 45 7142 57 7244 58 7246 59 71
21 44 6721 45 6921 46 7043 58 7345 59 7347 60 72
22 45 6822 46 7022 47 7244 59 7446 60 7448 61 70
23 46 6923 47 7123 48 7345 60 7547 61 7549 62 69
70 73 7624 48 7224 49 7446 61 7648 62 7650 63 68
71 74 7773 76 7725 50 7547 62 7749 63 7751 64 67
72 75 7874 75 7876 77 7848 63 7850 64 7852 65 66

It will be seen by the lottery combinations we present, how infinitely disproportionate are the chances in this species of gambling—how vastly the odds bear against the purchaser of tickets, and what mischievous results must of necessity spring from a vile system of frauds, perpetrated, as it is, by the sanction of law, and the tolerance of custom.

308309310396397398
232425262728
1 18 531 19 531 20 531 21 531 22 451 23 46
2 19 542 20 542 21 542 22 542 23 432 24 45
3 20 553 21 553 22 553 23 553 24 443 25 55
4 21 564 22 564 23 564 24 564 25 564 26 56
5 22 575 23 575 24 575 25 575 26 575 27 57
6 23 586 24 586 25 586 26 586 27 586 28 58
7 24 597 25 597 26 597 27 597 28 597 29 59
8 25 608 26 608 27 608 28 608 29 608 30 78
9 26 619 27 619 28 619 29 619 30 619 31 77
10 27 6210 28 6210 29 6210 30 6210 31 6210 32 76
11 28 6311 29 6311 30 6311 31 6311 32 6311 33 75
12 29 6412 30 6412 31 6412 32 6412 33 6412 34 74
13 30 6513 31 6513 32 6513 33 6513 34 6513 35 73
14 31 6614 32 6614 33 6614 34 6614 35 6614 36 72
15 32 6715 33 6715 34 6715 35 6715 36 6715 37 71
16 33 6816 34 6816 35 6816 36 6816 38 7116 38 70
17 34 6917 35 6917 36 6917 37 6917 37 7017 39 69
35 44 7018 36 7018 37 7018 38 7018 39 6918 40 68
36 45 7137 45 7119 38 7119 39 7119 40 6819 41 67
37 46 7238 46 7239 46 7220 40 7220 41 7220 42 66
38 47 7339 47 7340 47 7341 47 7321 42 7321 43 65
39 48 7440 48 7441 48 7442 48 7446 51 7422 44 64
40 49 7541 49 7542 49 7543 49 7547 52 7547 51 63
41 50 7642 50 7643 50 7644 50 7648 53 7648 52 62
42 51 7743 51 7744 51 7745 51 7749 54 7749 53 61
43 52 7844 52 7845 52 7846 52 7850 55 7850 54 60