Pos No. Wins Sales Percentage 1 07 92,485,664 50,863,431,520 0.18183% 2 09 93,750,674 52,841,155,985 0.17742% 3 05 85,021,663 48,117,232,535 0.17670% 4 11 92,498,707 53,711,131,425 0.17222% 5 03 86,226,684 50,309,657,065 0.17139% 6 44 96,150,577 56,853,911,265 0.16912% 7 12 84,949,788 50,489,005,005 0.16825% 8 23 93,645,760 55,660,009,545 0.16825% 9 06 82,801,118 49,382,432,175 0.16767% 10 17 86,129,195 51,431,815,125 0.16746% 11 27 89,494,716 53,495,354,270 0.16729% 12 04 82,219,072 49,589,817,325 0.16580% 13 18 83,606,245 50,552,117,055 0.16539% 14 19 80,404,897 48,715,263,305 0.16505% 15 10 82,768,925 50,155,373,950 0.16503% 16 02 81,632,548 49,472,280,675 0.16501% 17 08 79,703,575 48,605,861,740 0.16398% 18 28 84,352,025 51,531,985,120 0.16369% 19 13 71,400,284 44,186,813,640 0.16159% 20 24 81,888,520 50,705,652,480 0.16150% 21 14 81,810,043 50,665,860,275 0.16147% 22 25 88,801,350 55,025,574,865 0.16138% 23 29 80,000,849 49,849,399,520 0.16049% 24 30 85,937,985 53,881,056,845 0.15950% 25 22 78,726,459 49,509,463,190 0.15901% 26 21 70,733,822 44,501,639,730 0.15895% 27 15 78,189,633 49,206,967,100 0.15890% 28 33 83,598,887 53,278,290,260 0.15691% 29 01 75,949,242 48,625,046,755 0.15619% 30 16 72,003,292 46,183,663,985 0.15591% 31 32 79,820,809 51,389,415,530 0.15533% 32 38 85,242,150 54,927,617,875 0.15519% 33 42 81,056,088 52,313,639,650 0.15494% 34 48 80,670,211 52,126,683,335 0.15476% 35 43 83,487,790 53,976,760,265 0.15467% 36 31 85,422,965 55,453,912,385 0.15404% 37 26 77,140,891 50,098,216,215 0.15398% 38 40 84,094,505 56,185,525,575 0.14967% 39 45 75,519,271 50,479,666,155 0.14960% 40 47 80,766,907 54,054,948,120 0.14942% 41 20 64,497,509 44,140,053,865 0.14612% 42 36 70,444,588 48,402,996,100 0.14554% 43 39 75,838,412 52,197,217,555 0.14529% 44 37 70,553,241 48,631,161,150 0.14508% 45 34 73,349,511 50,589,883,545 0.14499% 46 49 73,880,429 51,074,928,055 0.14465% 47 35 75,145,073 51,990,603,120 0.14454% 48 46 69,074,488 49,553,381,025 0.13939% 49 41 65,491,597 47,018,997,530 0.13929% 50 58 5,182,108 10,935,598,160 0.04739% 51 52 5,461,623 11,536,197,520 0.04734% 52 57 4,236,525 9,002,200,130 0.04706% 53 54 4,943,887 10,564,038,410 0.04680% 54 59 4,400,688 9,422,588,690 0.04670% 55 53 3,855,448 8,258,420,840 0.04669% 56 50 4,265,470 9,154,327,220 0.04660% 57 56 4,461,850 9,648,679,090 0.04624% 58 51 4,165,914 9,038,093,840 0.04609% 59 55 3,927,253 8,563,341,580 0.04586%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 3033 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...