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Pos No. Wins Sales Percentage 1 07 71,649,862 33,074,911,120 0.21663% 2 05 65,920,510 31,439,950,245 0.20967% 3 09 75,547,659 36,291,708,625 0.20817% 4 11 75,395,704 36,875,335,390 0.20446% 5 03 68,274,345 33,521,734,010 0.20367% 6 19 63,221,977 31,237,714,395 0.20239% 7 27 70,424,250 35,025,111,015 0.20107% 8 17 66,301,709 33,020,454,910 0.20079% 9 12 67,482,529 33,644,986,000 0.20057% 10 13 55,648,728 27,915,757,525 0.19935% 11 08 61,659,776 31,000,040,800 0.19890% 12 23 75,623,596 38,166,314,875 0.19814% 13 18 66,691,688 33,671,916,340 0.19806% 14 10 64,346,647 32,567,340,930 0.19758% 15 04 64,626,985 32,717,348,450 0.19753% 16 44 77,338,430 39,334,394,605 0.19662% 17 29 61,550,533 31,435,579,265 0.19580% 18 06 66,302,019 33,889,559,450 0.19564% 19 14 63,847,035 32,802,020,640 0.19464% 20 22 61,663,499 31,705,797,835 0.19449% 21 28 68,195,798 35,181,427,520 0.19384% 22 02 66,762,373 34,789,430,180 0.19190% 23 15 60,702,390 31,881,735,110 0.19040% 24 24 62,810,961 33,107,320,285 0.18972% 25 21 53,802,061 28,400,404,270 0.18944% 26 33 65,579,924 34,956,426,545 0.18760% 27 42 64,911,950 34,614,984,970 0.18753% 28 25 71,661,924 38,308,057,470 0.18707% 29 16 55,374,018 29,646,649,705 0.18678% 30 30 66,385,125 35,580,093,365 0.18658% 31 32 65,051,841 35,562,874,140 0.18292% 32 38 70,970,384 38,977,716,630 0.18208% 33 01 60,793,763 33,437,131,045 0.18182% 34 20 48,545,618 26,765,702,345 0.18137% 35 48 64,873,290 35,853,816,835 0.18094% 36 31 68,185,029 37,701,642,585 0.18085% 37 26 60,592,969 33,604,676,235 0.18031% 38 43 69,015,826 38,295,756,145 0.18022% 39 47 64,822,573 36,221,361,295 0.17896% 40 36 54,958,108 30,903,820,570 0.17784% 41 37 55,086,059 31,070,009,365 0.17730% 42 40 66,117,883 37,356,917,715 0.17699% 43 45 60,158,370 34,171,953,640 0.17605% 44 34 55,763,197 31,697,100,925 0.17593% 45 39 57,336,302 32,594,573,135 0.17591% 46 35 58,114,857 33,606,502,810 0.17293% 47 49 56,060,451 32,495,685,920 0.17252% 48 41 47,644,830 27,712,413,480 0.17193% 49 46 53,937,952 32,095,831,080 0.16805%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 1523 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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