Pos No. Wins Sales Percentage 1 07 92,762,169 51,296,741,490 0.18083% 2 09 93,933,298 53,102,507,875 0.17689% 3 05 85,251,342 48,470,524,975 0.17588% 4 03 86,351,138 50,475,629,485 0.17107% 5 11 92,957,537 54,454,998,535 0.17071% 6 44 96,298,025 57,082,743,895 0.16870% 7 23 93,786,618 55,922,571,495 0.16771% 8 12 85,350,595 51,072,448,515 0.16712% 9 06 83,160,217 49,931,212,465 0.16655% 10 27 89,726,772 53,905,539,350 0.16645% 11 17 86,386,289 51,905,115,275 0.16643% 12 04 82,430,945 49,931,268,955 0.16509% 13 18 83,795,308 50,845,542,535 0.16480% 14 19 80,621,271 49,038,153,805 0.16441% 15 02 81,909,801 49,903,409,635 0.16414% 16 10 83,047,004 50,670,385,540 0.16390% 17 28 84,536,626 51,876,350,240 0.16296% 18 08 80,064,702 49,221,588,710 0.16266% 19 25 88,889,119 55,160,574,865 0.16115% 20 24 82,148,572 51,109,291,350 0.16073% 21 14 82,146,169 51,175,695,825 0.16052% 22 13 71,889,666 44,924,859,760 0.16002% 23 29 80,253,721 50,223,541,150 0.15979% 24 21 70,810,975 44,566,260,260 0.15889% 25 22 78,807,789 49,667,849,860 0.15867% 26 30 86,322,762 54,438,969,405 0.15857% 27 15 78,338,571 49,455,290,130 0.15840% 28 16 72,200,469 46,404,100,295 0.15559% 29 33 84,105,198 54,147,650,980 0.15533% 30 01 76,357,847 49,228,801,045 0.15511% 31 32 80,120,650 51,891,307,980 0.15440% 32 48 80,775,867 52,366,419,545 0.15425% 33 42 81,324,565 52,764,338,430 0.15413% 34 43 83,769,543 54,441,867,065 0.15387% 35 38 85,590,942 55,635,429,165 0.15384% 36 26 77,365,950 50,490,361,815 0.15323% 37 31 85,814,957 56,091,633,215 0.15299% 38 45 75,649,077 50,708,651,805 0.14918% 39 40 84,311,374 56,539,169,595 0.14912% 40 47 81,005,935 54,452,738,720 0.14876% 41 20 64,796,611 44,568,698,095 0.14539% 42 37 70,763,235 48,959,914,060 0.14453% 43 49 73,980,801 51,200,870,185 0.14449% 44 39 76,118,952 52,703,416,225 0.14443% 45 36 70,772,683 49,006,229,710 0.14442% 46 34 73,582,560 51,129,086,615 0.14392% 47 35 75,426,115 52,438,874,730 0.14384% 48 46 69,225,044 49,824,200,735 0.13894% 49 41 65,769,161 47,485,589,560 0.13850% 50 58 5,301,677 11,162,902,860 0.04749% 51 52 5,612,536 11,890,115,500 0.04720% 52 54 5,114,754 10,871,407,110 0.04705% 53 57 4,477,497 9,563,072,650 0.04682% 54 51 4,332,133 9,273,198,640 0.04672% 55 53 4,005,853 8,580,897,190 0.04668% 56 59 4,598,142 9,861,506,620 0.04663% 57 50 4,289,852 9,221,545,150 0.04652% 58 56 4,511,577 9,783,201,720 0.04612% 59 55 4,104,927 8,986,207,570 0.04568%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 3079 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...