Pos No. Wins Sales Percentage 1 07 91,852,865 49,962,928,060 0.18384% 2 09 93,068,229 51,789,019,675 0.17971% 3 05 84,815,955 47,745,690,965 0.17764% 4 11 91,853,526 52,715,283,415 0.17424% 5 03 85,489,043 49,217,651,705 0.17370% 6 44 95,674,198 56,056,185,415 0.17068% 7 12 84,350,849 49,542,656,015 0.17026% 8 06 82,183,852 48,484,692,485 0.16950% 9 23 93,310,549 55,140,298,165 0.16922% 10 17 85,643,511 50,721,748,115 0.16885% 11 27 89,067,586 52,757,925,660 0.16882% 12 18 83,198,906 49,752,952,575 0.16722% 13 04 81,896,148 48,983,845,825 0.16719% 14 19 79,714,434 47,739,913,695 0.16698% 15 02 81,133,102 48,633,958,725 0.16682% 16 10 82,307,847 49,515,919,410 0.16623% 17 08 79,361,096 48,072,425,840 0.16509% 18 28 83,990,714 50,897,914,030 0.16502% 19 13 70,712,170 43,045,345,550 0.16427% 20 25 88,176,932 54,054,189,375 0.16313% 21 14 81,495,385 50,123,197,055 0.16259% 22 24 81,495,369 50,164,147,270 0.16246% 23 29 79,360,381 48,946,853,100 0.16214% 24 22 78,270,936 48,698,046,680 0.16073% 25 21 70,339,674 43,856,386,250 0.16039% 26 30 85,733,078 53,501,008,325 0.16025% 27 15 77,854,786 48,702,553,520 0.15986% 28 33 83,152,381 52,530,890,970 0.15829% 29 16 71,416,089 45,128,586,095 0.15825% 30 01 75,661,253 48,158,709,015 0.15711% 31 38 84,770,132 53,978,828,195 0.15704% 32 43 83,103,339 53,178,198,515 0.15627% 33 42 80,715,687 51,657,456,360 0.15625% 34 32 79,577,114 50,958,328,510 0.15616% 35 48 80,282,178 51,417,342,935 0.15614% 36 31 85,034,814 54,768,398,145 0.15526% 37 26 76,813,372 49,526,483,225 0.15510% 38 45 75,117,734 49,834,647,675 0.15073% 39 40 83,804,352 55,608,702,435 0.15070% 40 47 80,411,584 53,435,755,570 0.15048% 41 20 64,147,266 43,581,994,415 0.14719% 42 36 70,195,828 47,874,903,720 0.14662% 43 39 75,422,280 51,440,000,095 0.14662% 44 37 70,223,827 47,988,760,740 0.14633% 45 34 72,965,086 49,889,331,915 0.14625% 46 35 74,626,640 51,101,746,120 0.14604% 47 49 73,522,225 50,410,205,935 0.14585% 48 41 64,937,668 46,102,653,860 0.14085% 49 46 68,935,108 49,332,899,515 0.13973% 50 58 4,802,854 10,150,572,470 0.04732% 51 52 5,088,495 10,773,080,260 0.04723% 52 57 3,963,233 8,472,353,460 0.04678% 53 53 3,573,327 7,667,962,620 0.04660% 54 59 4,003,939 8,624,024,240 0.04643% 55 54 4,455,546 9,599,091,580 0.04642% 56 50 3,902,486 8,415,363,990 0.04637% 57 56 4,192,636 9,120,017,710 0.04597% 58 51 3,873,053 8,501,449,910 0.04556% 59 55 3,744,415 8,225,016,500 0.04552%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 2955 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...