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Pos No. Wins Sales Percentage 1 07 82,943,366 38,567,880,750 0.21506% 2 05 76,675,874 37,124,524,825 0.20654% 3 09 85,649,258 41,777,732,585 0.20501% 4 11 83,942,985 41,509,407,265 0.20223% 5 03 77,916,211 38,617,989,935 0.20176% 6 17 77,500,181 39,205,508,765 0.19768% 7 27 81,496,769 41,290,435,630 0.19737% 8 08 70,735,937 35,962,062,370 0.19670% 9 12 77,836,913 39,582,326,775 0.19665% 10 19 71,917,744 36,609,837,145 0.19644% 11 13 64,562,266 32,875,536,860 0.19638% 12 23 84,866,058 43,314,440,515 0.19593% 13 18 76,108,208 39,005,822,555 0.19512% 14 44 88,819,515 45,620,814,085 0.19469% 15 06 75,652,977 39,008,281,625 0.19394% 16 04 74,208,882 38,363,008,505 0.19344% 17 10 74,738,371 38,639,642,240 0.19342% 18 02 74,755,579 39,027,522,335 0.19155% 19 28 76,219,671 39,802,232,500 0.19150% 20 29 71,878,975 37,557,111,970 0.19139% 21 14 74,266,438 38,904,199,185 0.19090% 22 22 70,509,170 36,952,387,140 0.19081% 23 24 74,405,013 39,643,823,720 0.18768% 24 15 70,804,385 37,734,202,190 0.18764% 25 42 72,663,680 39,018,801,970 0.18623% 26 21 63,907,604 34,381,178,720 0.18588% 27 33 75,777,501 41,064,284,970 0.18453% 28 25 82,504,528 44,747,687,595 0.18438% 29 16 65,378,237 35,501,074,375 0.18416% 30 30 78,579,197 42,712,817,395 0.18397% 31 01 68,486,626 37,757,265,845 0.18139% 32 32 73,612,675 40,624,856,390 0.18120% 33 38 78,165,688 43,331,467,145 0.18039% 34 43 76,797,624 42,836,119,565 0.17928% 35 31 77,717,124 43,401,585,755 0.17907% 36 26 70,751,423 39,589,149,835 0.17871% 37 48 74,318,443 41,822,026,655 0.17770% 38 20 56,992,582 32,125,571,815 0.17741% 39 47 73,133,747 41,450,958,120 0.17643% 40 37 63,245,712 36,037,390,890 0.17550% 41 36 63,513,210 36,344,141,630 0.17476% 42 40 76,815,073 44,005,996,105 0.17456% 43 39 68,890,482 39,663,877,695 0.17369% 44 45 69,547,389 40,087,316,195 0.17349% 45 34 66,398,112 38,395,611,835 0.17293% 46 49 66,606,370 39,079,324,575 0.17044% 47 35 67,640,927 39,928,582,230 0.16940% 48 41 58,428,994 34,670,984,350 0.16852% 49 46 62,056,796 37,205,712,555 0.16679%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 1911 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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