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Pos No. Wins Sales Percentage 1 07 82,790,574 38,407,056,900 0.21556% 2 05 76,675,874 37,124,524,825 0.20654% 3 09 85,649,258 41,777,732,585 0.20501% 4 11 83,876,764 41,429,216,275 0.20246% 5 03 77,763,420 38,457,166,085 0.20221% 6 17 77,112,355 38,786,214,685 0.19881% 7 27 81,412,080 41,208,119,870 0.19756% 8 08 70,517,072 35,707,022,150 0.19749% 9 19 71,765,497 36,441,498,865 0.19693% 10 12 77,770,692 39,502,135,785 0.19688% 11 13 64,562,266 32,875,536,860 0.19638% 12 23 84,771,273 43,233,151,285 0.19608% 13 18 76,108,208 39,005,822,555 0.19512% 14 44 88,690,238 45,457,294,205 0.19511% 15 06 75,558,192 38,926,992,395 0.19410% 16 04 73,937,352 38,116,895,985 0.19398% 17 10 74,643,586 38,558,353,010 0.19359% 18 14 73,911,230 38,490,466,295 0.19202% 19 28 76,090,393 39,638,712,620 0.19196% 20 29 71,816,064 37,461,999,180 0.19170% 21 22 70,170,082 36,620,252,100 0.19162% 22 02 74,755,579 39,027,522,335 0.19155% 23 24 74,405,013 39,643,823,720 0.18768% 24 15 70,804,385 37,734,202,190 0.18764% 25 21 63,675,758 34,135,800,180 0.18654% 26 42 72,663,680 39,018,801,970 0.18623% 27 16 65,109,055 35,175,488,775 0.18510% 28 25 82,172,808 44,415,744,325 0.18501% 29 33 75,714,589 40,969,172,180 0.18481% 30 30 78,579,197 42,712,817,395 0.18397% 31 01 68,391,841 37,675,976,615 0.18153% 32 32 73,540,968 40,532,878,950 0.18144% 33 38 77,957,637 43,080,797,035 0.18096% 34 43 76,443,848 42,419,798,395 0.18021% 35 31 77,292,802 42,994,649,385 0.17977% 36 20 56,453,870 31,451,615,035 0.17949% 37 26 70,564,582 39,425,353,075 0.17898% 38 48 74,166,197 41,653,688,375 0.17805% 39 47 72,799,748 41,124,098,580 0.17702% 40 37 63,182,801 35,942,278,100 0.17579% 41 40 76,657,377 43,829,594,085 0.17490% 42 36 63,513,210 36,344,141,630 0.17476% 43 39 68,705,401 39,418,025,985 0.17430% 44 45 69,338,794 39,844,160,515 0.17402% 45 34 66,398,112 38,395,611,835 0.17293% 46 49 66,374,524 38,833,946,035 0.17092% 47 35 67,511,795 39,753,278,450 0.16983% 48 41 58,357,287 34,579,006,910 0.16877% 49 46 61,990,575 37,125,521,565 0.16698%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 1900 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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