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Pos No. Wins Sales Percentage 1 29 989,321 1,385,705,360 0.07139% 2 10 672,549 961,007,090 0.06998% 3 07 789,308 1,129,378,540 0.06989% 4 20 563,714 834,781,100 0.06753% 5 03 892,407 1,321,575,480 0.06753% 6 24 544,385 809,270,640 0.06727% 7 06 860,455 1,286,519,980 0.06688% 8 17 682,627 1,030,053,730 0.06627% 9 19 956,499 1,448,450,840 0.06604% 10 12 734,620 1,115,366,300 0.06586% 11 09 797,551 1,215,988,200 0.06559% 12 01 539,701 834,784,160 0.06465% 13 25 712,187 1,106,385,490 0.06437% 14 11 818,909 1,300,327,330 0.06298% 15 26 504,000 802,263,070 0.06282% 16 14 578,404 922,093,100 0.06273% 17 35 689,118 1,100,567,830 0.06261% 18 23 386,432 622,600,760 0.06207% 19 15 427,435 688,835,140 0.06205% 20 31 739,639 1,202,267,100 0.06152% 21 21 394,148 645,253,480 0.06108% 22 13 839,828 1,378,844,140 0.06091% 23 28 449,621 738,436,210 0.06089% 24 02 603,092 1,000,698,000 0.06027% 25 45 508,594 851,857,760 0.05970% 26 41 727,240 1,218,772,730 0.05967% 27 05 356,660 599,245,910 0.05952% 28 44 584,961 1,000,616,350 0.05846% 29 08 409,563 700,653,830 0.05845% 30 39 675,832 1,158,111,950 0.05836% 31 33 751,521 1,289,038,110 0.05830% 32 27 541,347 936,639,440 0.05780% 33 22 500,108 873,916,510 0.05723% 34 32 477,775 837,070,680 0.05708% 35 47 444,155 783,557,670 0.05668% 36 04 479,536 849,036,460 0.05648% 37 48 521,688 940,032,790 0.05550% 38 51 446,648 805,706,550 0.05544% 39 16 636,056 1,162,788,620 0.05470% 40 30 335,379 615,048,520 0.05453% 41 46 213,560 394,694,990 0.05411% 42 42 476,211 888,878,490 0.05357% 43 40 377,092 704,879,060 0.05350% 44 49 407,056 772,432,850 0.05270% 45 37 411,729 810,111,140 0.05082% 46 43 576,883 1,135,272,580 0.05081% 47 18 450,041 899,164,480 0.05005% 48 54 627,473 1,272,315,530 0.04932% 49 56 355,009 725,684,010 0.04892% 50 59 421,131 865,782,380 0.04864% 51 34 496,718 1,032,248,880 0.04812% 52 50 387,367 806,181,160 0.04805% 53 53 282,121 590,458,220 0.04778% 54 58 404,599 852,330,390 0.04747% 55 36 297,891 632,457,500 0.04710% 56 38 685,753 1,456,704,500 0.04708% 57 52 490,639 1,043,282,330 0.04703% 58 57 356,029 758,341,920 0.04695% 59 55 244,852 542,804,400 0.04511%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...
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