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Pos No. Wins Sales Percentage 1 07 83,529,391 39,051,959,890 0.21389% 2 05 77,452,654 37,767,162,075 0.20508% 3 09 86,501,948 42,567,665,285 0.20321% 4 11 84,287,962 41,832,423,325 0.20149% 5 03 78,640,762 39,186,224,655 0.20068% 6 27 82,011,961 41,696,278,510 0.19669% 7 17 78,181,909 39,792,336,135 0.19647% 8 12 78,090,175 39,831,283,015 0.19605% 9 08 71,391,029 36,532,900,400 0.19542% 10 13 64,976,929 33,274,317,720 0.19528% 11 19 72,346,535 37,081,941,745 0.19510% 12 23 85,783,231 44,174,108,885 0.19419% 13 06 75,652,977 39,008,281,625 0.19394% 14 18 76,761,562 39,722,371,705 0.19325% 15 44 89,388,785 46,266,201,025 0.19321% 16 04 74,297,794 38,458,542,745 0.19319% 17 10 75,508,833 39,373,789,410 0.19177% 18 02 74,854,238 39,107,290,345 0.19141% 19 29 72,269,852 37,964,870,900 0.19036% 20 28 76,864,728 40,424,510,090 0.19014% 21 14 74,614,422 39,289,181,015 0.18991% 22 22 70,983,490 37,441,989,580 0.18958% 23 24 74,721,972 39,952,273,450 0.18703% 24 15 71,096,971 38,044,902,460 0.18688% 25 21 63,907,604 34,381,178,720 0.18588% 26 42 72,882,680 39,257,126,560 0.18565% 27 25 82,803,501 45,057,436,745 0.18377% 28 33 76,220,226 41,541,452,910 0.18348% 29 16 65,959,570 36,009,886,225 0.18317% 30 30 79,059,518 43,198,316,885 0.18302% 31 32 73,669,370 40,703,942,700 0.18099% 32 01 68,749,157 38,004,090,045 0.18090% 33 38 78,447,987 43,640,543,245 0.17976% 34 26 70,948,777 39,844,334,955 0.17806% 35 43 77,455,477 43,555,017,795 0.17783% 36 31 78,212,069 43,981,720,775 0.17783% 37 48 74,740,820 42,228,105,195 0.17699% 38 20 57,356,645 32,605,311,605 0.17591% 39 47 73,342,705 41,702,835,920 0.17587% 40 37 63,556,087 36,348,126,730 0.17485% 41 40 77,439,971 44,637,161,195 0.17349% 42 36 63,971,031 36,902,292,650 0.17335% 43 45 69,669,239 40,248,030,375 0.17310% 44 39 69,215,030 40,001,896,835 0.17303% 45 34 67,041,112 39,111,714,735 0.17141% 46 49 66,920,772 39,398,874,405 0.16985% 47 35 67,877,641 40,260,320,270 0.16860% 48 41 58,599,034 34,909,146,830 0.16786% 49 46 62,184,468 37,369,300,625 0.16641%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 1939 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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