Pos No. Wins Sales Percentage 1 19 871,579 1,238,240,110 0.07039% 2 10 671,002 956,079,460 0.07018% 3 29 893,340 1,276,688,050 0.06997% 4 07 847,657 1,232,186,410 0.06879% 5 12 730,788 1,066,348,990 0.06853% 6 03 816,678 1,193,357,250 0.06844% 7 24 508,317 746,770,640 0.06807% 8 06 860,455 1,286,519,980 0.06688% 9 09 761,483 1,153,488,200 0.06602% 10 15 378,582 581,124,410 0.06515% 11 20 467,733 725,763,790 0.06445% 12 25 712,187 1,106,385,490 0.06437% 13 01 553,465 875,092,030 0.06325% 14 11 779,729 1,235,217,730 0.06312% 15 04 534,798 849,036,460 0.06299% 16 17 613,137 981,370,130 0.06248% 17 31 643,352 1,032,183,340 0.06233% 18 35 708,287 1,138,266,100 0.06223% 19 23 386,432 622,600,760 0.06207% 20 08 409,563 660,653,830 0.06199% 21 22 536,853 871,416,510 0.06161% 22 21 394,148 645,253,480 0.06108% 23 28 447,328 733,326,610 0.06100% 24 13 839,828 1,378,844,140 0.06091% 25 44 584,961 960,616,350 0.06089% 26 39 626,039 1,030,502,350 0.06075% 27 26 446,065 738,768,990 0.06038% 28 02 603,092 1,000,698,000 0.06027% 29 45 450,668 749,383,600 0.06014% 30 27 522,217 874,139,440 0.05974% 31 41 727,068 1,218,642,600 0.05966% 32 14 519,310 873,075,790 0.05948% 33 05 387,633 664,834,010 0.05831% 34 48 413,487 709,340,400 0.05829% 35 32 446,630 771,352,450 0.05790% 36 30 366,351 640,636,620 0.05719% 37 51 397,795 697,995,820 0.05699% 38 33 769,653 1,350,653,630 0.05698% 39 47 444,155 783,557,670 0.05668% 40 46 219,303 388,976,760 0.05638% 41 16 587,203 1,055,077,890 0.05565% 42 55 300,114 542,804,400 0.05529% 43 49 358,204 664,722,120 0.05389% 44 53 402,623 754,547,900 0.05336% 45 40 408,065 770,467,160 0.05296% 46 43 666,205 1,263,668,550 0.05272% 47 42 431,626 826,378,490 0.05223% 48 18 476,109 919,164,480 0.05180% 49 37 362,876 702,400,410 0.05166% 50 36 354,318 698,045,600 0.05076% 51 59 485,758 969,872,060 0.05008% 52 57 479,005 965,239,470 0.04963% 53 54 627,473 1,272,315,530 0.04932% 54 56 318,941 663,184,010 0.04809% 55 50 387,367 806,181,160 0.04805% 56 34 522,786 1,092,248,880 0.04786% 57 58 430,668 912,330,390 0.04721% 58 38 654,608 1,390,986,270 0.04706% 59 52 490,639 1,043,282,330 0.04703%Notes:
Firstly, I needed to work out how many winning tickets used a particular number (let's say using the number 1 as an example) in each prize tier for a single draw. Camelot don't release the figures for this, so for a particular prize tier, it has to be estimated thus:
Winning tickets using the number 1 in a prize tier = ( Number of combinations in that tier that use the number 1 / Total combinations in that tier ) * Number of actual prize winners in that tier [yes, this last figure is indeed released by Camelot]
This assumes an even distribution of combinations of course, which isn't the case in real life, but it's the best we can do. I then wrote a combinations program that generated all 14m tickets and calculated the first two figures in the RHS of the above equation for each tier (we know the third figure from Camelot as I said) by assuming that the 6 numbers drawn were 1 to 6 and we were looking at winning tickets using the number 1. This resulted in the following table:
Tier Uses 1 Combs Ratio 6-match 1 1 1.000 5+bonus 5 6 0.833 5-match 210 252 0.833 4-match 9,030 13,545 0.667 3-match 123,410 246,820 0.500 2-match 617,050 1,851,150 0.333 1-match 962,598 5,775,588 0.167 0-match 0 6,095,454 0.000
After this, it was simply a question of using the above table for each draw, multiplying the ratio by number of winners in the tier for a particular draw and then doing this for all 104 draws to get a total for a particular number. I then totalled the sales for every draw where a particular number appeared, divided the figure from the previous sentence by that total and then sorted on the percentage figure as shown in the main table on this page. You can wake up now...