Pos No. Wins Sales Percentage 1 07 92,432,876 50,738,504,860 0.18218% 2 09 93,578,216 52,624,282,545 0.17782% 3 05 85,021,663 48,117,232,535 0.17670% 4 11 92,400,057 53,611,193,985 0.17235% 5 03 86,073,682 50,090,905,275 0.17183% 6 44 96,064,974 56,745,618,565 0.16929% 7 12 84,649,106 50,008,413,275 0.16927% 8 23 93,645,760 55,660,009,545 0.16825% 9 17 85,909,660 51,161,877,685 0.16792% 10 06 82,689,204 49,278,572,575 0.16780% 11 27 89,367,012 53,262,892,060 0.16778% 12 04 82,151,673 49,479,358,235 0.16603% 13 19 80,150,544 48,339,429,075 0.16581% 14 18 83,539,483 50,400,464,305 0.16575% 15 02 81,495,760 49,243,494,415 0.16550% 16 10 82,589,612 49,941,055,260 0.16537% 17 28 84,166,798 51,259,607,750 0.16420% 18 08 79,617,972 48,497,569,040 0.16417% 19 24 81,692,025 50,436,182,200 0.16197% 20 14 81,663,130 50,457,052,105 0.16185% 21 13 71,314,681 44,078,520,940 0.16179% 22 25 88,763,113 54,959,148,355 0.16151% 23 29 79,888,935 49,745,539,920 0.16060% 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 83,487,044 53,105,070,900 0.15721% 29 16 71,816,966 45,762,174,605 0.15694% 30 01 75,876,832 48,525,109,315 0.15637% 31 38 85,082,967 54,579,053,425 0.15589% 32 32 79,795,935 51,329,415,530 0.15546% 33 42 80,913,815 52,063,631,230 0.15541% 34 48 80,670,211 52,126,683,335 0.15476% 35 43 83,487,790 53,976,760,265 0.15467% 36 31 85,358,813 55,207,282,665 0.15462% 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 39 75,685,269 51,953,980,575 0.14568% 43 36 70,419,714 48,342,996,100 0.14567% 44 35 74,770,436 51,396,632,640 0.14548% 45 37 70,515,005 48,499,807,980 0.14539% 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 65,491,597 47,018,997,530 0.13929% 50 58 5,152,805 10,763,585,650 0.04787% 51 52 5,407,445 11,407,679,750 0.04740% 52 59 4,373,994 9,259,093,950 0.04724% 53 57 4,210,285 9,002,200,130 0.04677% 54 53 3,811,438 8,158,420,840 0.04672% 55 50 4,265,470 9,154,327,220 0.04660% 56 56 4,461,850 9,583,752,430 0.04656% 57 54 4,722,609 10,170,506,900 0.04643% 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 3017 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...