Pos No. Wins Sales Percentage 1 07 91,659,609 49,617,689,810 0.18473% 2 09 92,996,206 51,664,019,675 0.18000% 3 05 84,609,214 47,442,358,175 0.17834% 4 11 91,521,398 52,237,913,545 0.17520% 5 03 85,344,242 48,904,055,285 0.17451% 6 44 95,384,764 55,557,373,055 0.17169% 7 12 84,162,499 49,254,629,155 0.17087% 8 27 88,733,561 52,199,844,260 0.16999% 9 17 85,312,363 50,192,292,395 0.16997% 10 06 82,151,569 48,348,762,765 0.16991% 11 23 93,168,205 54,867,889,485 0.16980% 12 19 79,369,312 47,146,049,445 0.16835% 13 04 81,660,513 48,565,875,495 0.16814% 14 02 80,939,708 48,174,158,835 0.16801% 15 18 83,082,473 49,535,744,095 0.16772% 16 10 81,994,088 49,084,989,230 0.16705% 17 28 83,674,127 50,429,569,750 0.16592% 18 08 79,128,605 47,710,397,400 0.16585% 19 13 70,712,170 43,045,345,550 0.16427% 20 29 78,744,474 48,034,781,150 0.16393% 21 25 87,982,754 53,733,541,165 0.16374% 22 14 81,205,706 49,691,462,485 0.16342% 23 24 81,256,091 49,754,804,410 0.16331% 24 22 78,016,325 48,211,364,820 0.16182% 25 15 77,508,280 48,027,567,810 0.16138% 26 30 85,625,926 53,321,165,215 0.16059% 27 21 70,303,167 43,779,876,700 0.16058% 28 33 82,909,695 52,062,446,280 0.15925% 29 16 71,300,042 44,910,431,645 0.15876% 30 38 84,556,862 53,599,187,245 0.15776% 31 01 75,493,125 47,890,705,795 0.15764% 32 48 79,864,275 50,687,906,115 0.15756% 33 43 82,857,429 52,612,722,425 0.15749% 34 32 79,451,345 50,699,022,540 0.15671% 35 42 80,604,886 51,488,142,980 0.15655% 36 31 84,750,693 54,363,532,365 0.15590% 37 26 76,600,346 49,223,031,175 0.15562% 38 45 74,812,259 49,277,454,305 0.15182% 39 40 83,602,822 55,257,240,945 0.15130% 40 47 80,267,727 53,193,990,810 0.15090% 41 20 63,770,239 42,970,249,835 0.14841% 42 34 72,758,830 49,471,697,645 0.14707% 43 37 70,025,007 47,617,572,120 0.14706% 44 36 70,049,511 47,637,955,250 0.14705% 45 39 75,244,308 51,194,177,165 0.14698% 46 49 73,263,123 49,960,981,165 0.14664% 47 35 74,433,312 50,853,124,050 0.14637% 48 41 64,774,847 45,791,398,040 0.14146% 49 46 68,705,466 48,907,665,305 0.14048% 50 58 4,694,944 9,912,719,970 0.04736% 51 52 5,088,495 10,773,080,260 0.04723% 52 57 3,930,950 8,409,853,460 0.04674% 53 54 4,294,868 9,293,117,480 0.04622% 54 59 3,830,921 8,301,017,960 0.04615% 55 53 3,246,087 7,048,987,590 0.04605% 56 50 3,616,391 7,853,224,210 0.04605% 57 55 3,699,718 8,045,084,020 0.04599% 58 51 3,786,274 8,317,277,690 0.04552% 59 56 3,937,017 8,708,069,240 0.04521%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 2917 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...