Pos No. Wins Sales Percentage 1 07 90,486,483 47,933,953,810 0.18877% 2 09 92,170,661 50,146,188,015 0.18380% 3 05 83,680,509 45,835,751,305 0.18257% 4 11 90,414,259 50,465,955,475 0.17916% 5 03 84,393,690 47,473,500,185 0.17777% 6 12 83,114,761 47,489,520,675 0.17502% 7 44 94,495,417 54,020,385,425 0.17493% 8 17 84,574,033 49,008,332,495 0.17257% 9 23 92,190,321 53,424,079,125 0.17256% 10 27 88,147,435 51,172,563,470 0.17226% 11 06 81,421,906 47,348,089,785 0.17196% 12 19 78,547,270 45,750,072,475 0.17169% 13 04 80,721,721 47,163,976,985 0.17115% 14 02 80,168,656 47,021,166,855 0.17049% 15 13 69,525,348 40,918,533,670 0.16991% 16 18 82,604,521 48,689,250,835 0.16966% 17 10 81,259,888 47,911,424,730 0.16960% 18 28 82,940,951 49,080,881,970 0.16899% 19 08 78,345,126 46,590,290,210 0.16816% 20 14 80,172,272 48,008,120,415 0.16700% 21 24 80,176,729 48,157,006,800 0.16649% 22 22 76,849,462 46,159,299,270 0.16649% 23 29 78,128,197 46,958,112,570 0.16638% 24 25 87,409,776 52,691,531,515 0.16589% 25 15 76,564,353 46,373,865,160 0.16510% 26 21 69,726,746 42,818,463,020 0.16284% 27 30 84,918,679 52,189,266,855 0.16271% 28 33 82,071,289 50,572,762,560 0.16228% 29 16 70,621,040 43,711,681,755 0.16156% 30 42 79,487,484 49,429,995,180 0.16081% 31 01 74,672,475 46,646,791,235 0.16008% 32 38 83,966,366 52,519,122,595 0.15988% 33 48 79,368,733 49,855,653,965 0.15920% 34 31 83,704,352 52,608,175,745 0.15911% 35 43 82,370,857 51,773,896,685 0.15910% 36 32 78,826,427 49,559,043,140 0.15906% 37 26 76,024,244 48,234,063,875 0.15762% 38 45 74,256,792 48,156,426,665 0.15420% 39 47 79,518,167 51,869,298,270 0.15330% 40 20 62,494,057 40,848,558,525 0.15299% 41 40 83,064,609 54,375,884,915 0.15276% 42 37 68,905,144 45,492,731,260 0.15146% 43 39 74,186,151 49,109,021,815 0.15106% 44 49 72,445,631 48,370,335,165 0.14977% 45 34 72,023,543 48,101,447,845 0.14973% 46 36 69,457,752 46,563,834,470 0.14917% 47 35 73,795,619 49,733,101,900 0.14838% 48 41 63,985,278 44,205,459,280 0.14475% 49 46 67,854,670 47,355,040,135 0.14329% 50 52 4,653,421 9,850,009,070 0.04724% 51 58 3,673,896 7,901,961,140 0.04649% 52 54 3,554,188 7,686,649,060 0.04624% 53 53 2,711,835 5,934,527,070 0.04570% 54 57 3,238,496 7,089,034,310 0.04568% 55 50 2,842,302 6,293,126,670 0.04517% 56 51 3,404,314 7,558,754,040 0.04504% 57 56 3,395,874 7,547,617,670 0.04499% 58 55 3,181,013 7,092,681,930 0.04485% 59 59 3,068,016 6,853,017,760 0.04477%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 2768 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...