Pos No. Wins Sales Percentage 1 07 92,762,169 51,296,741,490 0.18083% 2 09 93,829,712 52,942,507,875 0.17723% 3 05 85,203,588 48,410,524,975 0.17600% 4 03 86,351,138 50,475,629,485 0.17107% 5 11 92,799,846 54,252,237,765 0.17105% 6 44 96,259,158 57,016,801,765 0.16883% 7 23 93,786,618 55,922,571,495 0.16771% 8 12 85,127,054 50,772,012,205 0.16767% 9 27 89,656,139 53,697,544,820 0.16697% 10 06 83,044,306 49,771,212,465 0.16685% 11 17 86,315,656 51,802,790,815 0.16662% 12 04 82,430,945 49,931,268,955 0.16509% 13 18 83,734,023 50,771,789,625 0.16492% 14 19 80,586,012 48,978,153,805 0.16453% 15 02 81,874,542 49,769,656,725 0.16451% 16 10 82,978,849 50,570,385,540 0.16409% 17 08 79,832,306 48,834,706,690 0.16347% 18 28 84,506,857 51,816,350,240 0.16309% 19 25 88,889,119 55,160,574,865 0.16115% 20 14 82,114,434 50,996,272,845 0.16102% 21 13 71,723,279 44,559,189,690 0.16096% 22 24 82,087,287 51,035,538,440 0.16084% 23 29 80,253,721 50,223,541,150 0.15979% 24 15 78,299,705 49,283,677,930 0.15888% 25 30 86,204,374 54,276,644,945 0.15882% 26 21 70,779,239 44,566,260,260 0.15882% 27 22 78,807,789 49,667,849,860 0.15867% 28 33 83,988,371 53,881,544,600 0.15588% 29 16 72,033,921 46,243,663,985 0.15577% 30 01 76,357,847 49,228,801,045 0.15511% 31 48 80,729,068 52,192,163,055 0.15468% 32 32 80,085,391 51,831,307,980 0.15451% 33 42 81,216,127 52,603,834,850 0.15439% 34 38 85,483,748 55,469,487,035 0.15411% 35 43 83,769,543 54,441,867,065 0.15387% 36 26 77,297,622 50,390,361,815 0.15340% 37 31 85,678,165 55,865,691,085 0.15336% 38 45 75,613,818 50,648,651,805 0.14929% 39 40 84,243,046 56,439,169,595 0.14926% 40 47 80,914,747 54,318,985,810 0.14896% 41 20 64,615,000 44,307,758,205 0.14583% 42 36 70,678,129 48,740,056,060 0.14501% 43 37 70,763,235 48,886,161,150 0.14475% 44 49 73,880,429 51,074,928,055 0.14465% 45 39 76,048,319 52,601,091,765 0.14458% 46 34 73,521,275 50,981,580,795 0.14421% 47 35 75,334,926 52,305,121,820 0.14403% 48 46 69,154,411 49,721,876,275 0.13908% 49 41 65,769,161 47,485,589,560 0.13850% 50 52 5,612,536 11,816,362,590 0.04750% 51 58 5,233,521 11,062,902,860 0.04731% 52 54 5,083,019 10,871,407,110 0.04676% 53 57 4,442,238 9,503,072,650 0.04675% 54 53 3,975,950 8,520,897,190 0.04666% 55 59 4,551,343 9,761,003,040 0.04663% 56 50 4,289,852 9,221,545,150 0.04652% 57 51 4,270,848 9,199,445,730 0.04643% 58 56 4,511,577 9,783,201,720 0.04612% 59 55 4,075,157 8,926,207,570 0.04565%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 3067 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...