Pos No. Wins Sales Percentage 1 07 92,432,876 50,803,431,520 0.18194% 2 09 93,656,338 52,731,155,985 0.17761% 3 05 85,021,663 48,117,232,535 0.17670% 4 11 92,472,467 53,711,131,425 0.17217% 5 03 86,159,285 50,199,197,975 0.17163% 6 44 96,150,577 56,853,911,265 0.16912% 7 12 84,837,874 50,385,145,405 0.16838% 8 23 93,645,760 55,660,009,545 0.16825% 9 06 82,689,204 49,278,572,575 0.16780% 10 17 85,982,070 51,261,815,125 0.16773% 11 27 89,367,012 53,327,818,720 0.16758% 12 04 82,151,673 49,479,358,235 0.16603% 13 18 83,568,786 50,400,464,305 0.16581% 14 10 82,589,612 49,941,055,260 0.16537% 15 19 80,329,981 48,607,727,755 0.16526% 16 02 81,520,634 49,368,421,075 0.16513% 17 28 84,196,101 51,259,607,750 0.16425% 18 08 79,703,575 48,605,861,740 0.16398% 19 24 81,760,816 50,538,116,930 0.16178% 20 13 71,400,284 44,186,813,640 0.16159% 21 14 81,810,043 50,665,860,275 0.16147% 22 25 88,801,350 55,025,574,865 0.16138% 23 29 79,888,935 49,745,539,920 0.16060% 24 30 85,937,985 53,881,056,845 0.15950% 25 22 78,651,542 49,401,927,640 0.15921% 26 15 78,095,296 49,096,967,100 0.15906% 27 21 70,733,822 44,501,639,730 0.15895% 28 33 83,572,647 53,278,290,260 0.15686% 29 16 71,816,966 45,865,669,345 0.15658% 30 01 75,949,242 48,625,046,755 0.15619% 31 32 79,820,809 51,389,415,530 0.15533% 32 38 85,178,451 54,844,482,895 0.15531% 33 42 81,018,629 52,230,504,670 0.15512% 34 48 80,670,211 52,126,683,335 0.15476% 35 43 83,487,790 53,976,760,265 0.15467% 36 31 85,385,507 55,370,777,405 0.15421% 37 26 77,140,891 50,098,216,215 0.15398% 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 64,444,721 44,011,536,095 0.14643% 42 36 70,444,588 48,402,996,100 0.14554% 43 39 75,838,412 52,128,699,785 0.14548% 44 34 73,279,260 50,489,883,545 0.14514% 45 37 70,553,241 48,631,161,150 0.14508% 46 35 74,938,361 51,689,932,590 0.14498% 47 49 73,880,429 51,074,928,055 0.14465% 48 46 69,021,701 49,493,381,025 0.13946% 49 41 65,491,597 47,018,997,530 0.13929% 50 58 5,182,108 10,867,080,390 0.04769% 51 52 5,461,623 11,467,679,750 0.04763% 52 57 4,210,285 9,002,200,130 0.04677% 53 53 3,811,438 8,158,420,840 0.04672% 54 59 4,400,688 9,422,588,690 0.04670% 55 54 4,795,019 10,270,444,340 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 4,071,577 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 3025 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...