Pos No. Wins Sales Percentage 1 07 92,393,635 50,738,504,860 0.18210% 2 09 93,578,216 52,624,282,545 0.17782% 3 05 85,021,663 48,117,232,535 0.17670% 4 11 92,365,363 53,449,730,345 0.17281% 5 03 86,027,070 50,025,091,995 0.17197% 6 12 84,571,835 49,846,949,635 0.16966% 7 44 96,002,017 56,610,618,565 0.16958% 8 23 93,645,760 55,660,009,545 0.16825% 9 06 82,642,592 49,212,759,295 0.16793% 10 17 85,909,660 51,161,877,685 0.16792% 11 27 89,327,770 53,262,892,060 0.16771% 12 19 80,103,932 48,172,152,155 0.16629% 13 04 82,151,673 49,479,358,235 0.16603% 14 18 83,539,483 50,400,464,305 0.16575% 15 02 81,456,518 49,243,494,415 0.16542% 16 10 82,589,612 49,941,055,260 0.16537% 17 28 84,132,104 51,199,607,750 0.16432% 18 08 79,617,972 48,497,569,040 0.16417% 19 24 81,692,025 50,436,182,200 0.16197% 20 14 81,616,518 50,391,238,825 0.16197% 21 13 71,314,681 44,078,520,940 0.16179% 22 25 88,763,113 54,959,148,355 0.16151% 23 29 79,854,240 49,685,539,920 0.16072% 24 30 85,937,985 53,881,056,845 0.15950% 25 22 78,582,752 49,299,992,910 0.15940% 26 15 78,068,603 49,036,967,100 0.15920% 27 21 70,665,032 44,399,705,000 0.15916% 28 33 83,384,846 52,970,070,900 0.15742% 29 16 71,774,390 45,660,710,965 0.15719% 30 01 75,876,832 48,525,109,315 0.15637% 31 38 85,040,390 54,579,053,425 0.15581% 32 32 79,749,323 51,263,602,250 0.15557% 33 42 80,913,815 52,063,631,230 0.15541% 34 43 83,424,833 53,841,760,265 0.15494% 35 48 80,670,211 52,126,683,335 0.15476% 36 31 85,316,237 55,207,282,665 0.15454% 37 26 77,062,769 49,991,342,775 0.15415% 38 40 83,983,096 55,975,066,485 0.15004% 39 45 75,519,271 50,479,666,155 0.14960% 40 47 80,672,570 53,944,948,120 0.14955% 41 20 64,415,418 44,011,536,095 0.14636% 42 36 70,356,757 48,207,996,100 0.14594% 43 35 74,723,824 51,229,355,720 0.14586% 44 39 75,685,269 51,953,980,575 0.14568% 45 37 70,475,764 48,499,807,980 0.14531% 46 34 73,279,260 50,489,883,545 0.14514% 47 49 73,855,554 51,014,928,055 0.14477% 48 46 69,021,701 49,493,381,025 0.13946% 49 41 65,456,903 46,958,997,530 0.13939% 50 58 5,110,228 10,763,585,650 0.04748% 51 52 5,407,445 11,407,679,750 0.04740% 52 50 4,202,514 8,917,863,580 0.04712% 53 59 4,331,418 9,259,093,950 0.04678% 54 57 4,210,285 9,002,200,130 0.04677% 55 53 3,811,438 8,158,420,840 0.04672% 56 54 4,687,915 10,110,506,900 0.04637% 57 56 4,359,652 9,448,752,430 0.04614% 58 51 4,071,577 8,928,093,840 0.04560% 59 55 3,901,012 8,563,341,580 0.04555%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 3012 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...