Pos No. Wins Sales Percentage 1 07 92,700,522 51,195,114,470 0.18107% 2 09 93,829,712 52,942,507,875 0.17723% 3 05 85,172,615 48,344,936,875 0.17618% 4 11 92,633,255 54,015,610,745 0.17149% 5 03 86,305,721 50,411,008,955 0.17120% 6 44 96,259,158 57,016,801,765 0.16883% 7 12 84,989,489 50,549,005,005 0.16813% 8 23 93,696,981 55,762,898,925 0.16803% 9 27 89,564,348 53,632,065,100 0.16700% 10 06 83,044,306 49,771,212,465 0.16685% 11 17 86,256,648 51,703,118,245 0.16683% 12 04 82,375,684 49,832,882,285 0.16530% 13 18 83,675,015 50,672,117,055 0.16513% 14 02 81,736,194 49,634,656,725 0.16468% 15 10 82,884,416 50,367,909,190 0.16456% 16 19 80,586,012 48,978,153,805 0.16453% 17 08 79,770,659 48,733,079,670 0.16369% 18 28 84,401,156 51,636,350,240 0.16345% 19 25 88,889,119 55,160,574,865 0.16115% 20 24 82,003,686 50,910,917,910 0.16107% 21 13 71,551,998 44,424,189,690 0.16107% 22 14 81,977,808 50,936,272,845 0.16094% 23 29 80,253,721 50,223,541,150 0.15979% 24 30 86,068,456 54,076,056,845 0.15916% 25 21 70,733,822 44,501,639,730 0.15895% 26 22 78,752,527 49,569,463,190 0.15887% 27 15 78,233,368 49,283,677,930 0.15874% 28 33 83,845,976 53,717,454,920 0.15609% 29 16 72,003,292 46,183,663,985 0.15591% 30 01 76,214,718 49,033,801,045 0.15543% 31 48 80,670,211 52,126,683,335 0.15476% 32 32 80,023,744 51,729,680,960 0.15470% 33 42 81,147,313 52,483,834,850 0.15461% 34 38 85,424,740 55,369,814,465 0.15428% 35 43 83,738,570 54,376,278,965 0.15400% 36 26 77,220,265 50,226,272,135 0.15374% 37 31 85,641,278 55,805,691,085 0.15346% 38 40 84,181,444 56,313,581,495 0.14949% 39 45 75,568,402 50,584,031,275 0.14939% 40 47 80,855,739 54,219,313,240 0.14913% 41 20 64,615,000 44,307,758,205 0.14583% 42 36 70,493,718 48,507,361,220 0.14533% 43 37 70,586,703 48,691,161,150 0.14497% 44 39 76,022,864 52,535,612,045 0.14471% 45 49 73,880,429 51,074,928,055 0.14465% 46 34 73,487,872 50,981,580,795 0.14415% 47 35 75,334,926 52,305,121,820 0.14403% 48 46 69,117,524 49,661,876,275 0.13918% 49 41 65,633,763 47,255,708,360 0.13889% 50 58 5,233,521 11,062,902,860 0.04731% 51 52 5,579,133 11,816,362,590 0.04722% 52 57 4,377,611 9,333,503,250 0.04690% 53 54 5,083,019 10,871,407,110 0.04676% 54 53 3,881,516 8,318,420,840 0.04666% 55 59 4,425,070 9,489,806,620 0.04663% 56 50 4,289,852 9,221,545,150 0.04652% 57 51 4,270,848 9,199,445,730 0.04643% 58 56 4,511,577 9,783,201,720 0.04612% 59 55 3,989,267 8,767,820,900 0.04550%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 3054 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...