Pos No. Wins Sales Percentage 1 07 91,044,685 48,753,004,570 0.18675% 2 09 92,665,102 51,028,651,545 0.18159% 3 05 84,380,053 47,049,284,535 0.17934% 4 11 90,914,045 51,288,021,055 0.17726% 5 03 84,644,393 47,931,573,985 0.17659% 6 12 83,464,136 48,059,630,075 0.17367% 7 44 95,023,280 54,899,887,515 0.17308% 8 17 84,899,818 49,567,356,955 0.17128% 9 23 92,587,145 54,063,623,815 0.17126% 10 27 88,567,786 51,887,490,430 0.17069% 11 06 81,956,979 48,109,462,765 0.17036% 12 04 81,058,545 47,725,036,225 0.16984% 13 19 79,062,380 46,673,374,005 0.16940% 14 02 80,588,663 47,722,852,045 0.16887% 15 10 81,469,598 48,270,002,720 0.16878% 16 18 82,829,981 49,123,836,995 0.16861% 17 28 83,230,248 49,631,634,010 0.16770% 18 08 78,627,094 46,976,709,510 0.16737% 19 13 70,140,151 42,050,676,360 0.16680% 20 24 80,535,186 48,690,132,040 0.16540% 21 29 78,378,931 47,402,307,150 0.16535% 22 14 80,741,806 48,920,614,235 0.16505% 23 25 87,710,024 53,281,951,325 0.16461% 24 22 77,258,417 47,001,368,870 0.16437% 25 15 77,002,893 47,218,342,380 0.16308% 26 21 70,007,793 43,296,915,010 0.16169% 27 30 85,461,701 53,000,662,305 0.16125% 28 33 82,517,285 51,370,462,210 0.16063% 29 16 70,986,442 44,334,644,265 0.16012% 30 42 79,936,361 50,318,528,940 0.15886% 31 38 84,346,108 53,170,910,895 0.15863% 32 43 82,498,529 52,022,759,865 0.15858% 33 01 75,128,541 47,412,624,275 0.15846% 34 48 79,680,035 50,383,994,315 0.15815% 35 32 79,127,559 50,102,618,670 0.15793% 36 31 84,183,745 53,427,543,205 0.15757% 37 26 76,306,900 48,718,797,225 0.15663% 38 45 74,655,663 48,936,670,235 0.15256% 39 47 79,795,801 52,412,605,010 0.15225% 40 40 83,319,085 54,799,324,855 0.15204% 41 20 62,972,394 41,668,247,845 0.15113% 42 37 69,409,331 46,402,775,900 0.14958% 43 39 74,865,180 50,430,183,545 0.14845% 44 34 72,382,203 48,773,994,275 0.14840% 45 36 69,690,190 46,992,981,610 0.14830% 46 35 73,949,294 50,016,200,110 0.14785% 47 49 72,918,014 49,318,941,025 0.14785% 48 41 64,392,243 44,989,731,640 0.14313% 49 46 68,341,640 48,247,702,535 0.14165% 50 58 4,410,354 9,306,858,890 0.04739% 51 52 4,832,225 10,231,772,500 0.04723% 52 57 3,720,051 7,928,777,010 0.04692% 53 54 3,988,728 8,640,346,750 0.04616% 54 50 3,353,805 7,312,675,540 0.04586% 55 53 2,990,359 6,544,924,260 0.04569% 56 59 3,467,330 7,614,729,910 0.04553% 57 51 3,524,196 7,798,516,610 0.04519% 58 55 3,321,077 7,360,251,440 0.04512% 59 56 3,629,374 8,049,475,430 0.04509%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 2843 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...