Pos No. Wins Sales Percentage 1 07 92,563,136 50,930,954,710 0.18174% 2 09 93,750,674 52,841,155,985 0.17742% 3 05 85,094,825 48,177,232,535 0.17663% 4 11 92,498,707 53,771,131,425 0.17202% 5 03 86,226,684 50,309,657,065 0.17139% 6 44 96,150,577 56,853,911,265 0.16912% 7 12 84,989,489 50,549,005,005 0.16813% 8 23 93,696,981 55,762,898,925 0.16803% 9 17 86,172,231 51,431,815,125 0.16755% 10 06 82,850,248 49,486,797,295 0.16742% 11 27 89,520,613 53,555,354,270 0.16716% 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 81,736,194 49,634,656,725 0.16468% 17 08 79,727,957 48,673,079,670 0.16380% 18 28 84,401,156 51,636,350,240 0.16345% 19 25 88,889,119 55,160,574,865 0.16115% 20 14 81,905,274 50,836,272,845 0.16112% 21 24 82,003,686 50,910,917,910 0.16107% 22 13 71,551,998 44,424,189,690 0.16107% 23 29 80,108,804 50,019,298,760 0.16016% 24 30 86,025,754 54,016,056,845 0.15926% 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 83,623,269 53,405,508,190 0.15658% 29 01 76,037,011 48,760,046,755 0.15594% 30 16 72,003,292 46,183,663,985 0.15591% 31 42 81,056,088 52,313,639,650 0.15494% 32 48 80,670,211 52,126,683,335 0.15476% 33 43 83,521,251 53,976,760,265 0.15474% 34 38 85,337,382 55,158,030,445 0.15471% 35 32 80,023,744 51,729,680,960 0.15470% 36 31 85,510,012 55,521,435,575 0.15401% 37 26 77,166,788 50,158,216,215 0.15385% 38 40 84,127,967 56,185,525,575 0.14973% 39 45 75,568,402 50,584,031,275 0.14939% 40 47 80,855,739 54,219,313,240 0.14913% 41 20 64,537,210 44,200,053,865 0.14601% 42 36 70,493,718 48,507,361,220 0.14533% 43 39 76,022,864 52,367,116,795 0.14517% 44 37 70,586,703 48,631,161,150 0.14515% 45 49 73,880,429 51,074,928,055 0.14465% 46 34 73,399,790 50,777,101,475 0.14455% 47 35 75,232,842 52,125,603,120 0.14433% 48 46 69,117,524 49,553,381,025 0.13948% 49 41 65,517,494 47,078,997,530 0.13917% 50 52 5,553,788 11,640,562,640 0.04771% 51 58 5,182,108 10,935,598,160 0.04739% 52 57 4,319,263 9,122,200,130 0.04735% 53 54 5,021,005 10,726,927,790 0.04681% 54 53 3,855,448 8,258,420,840 0.04669% 55 59 4,425,070 9,489,806,620 0.04663% 56 50 4,289,852 9,221,545,150 0.04652% 57 56 4,486,232 9,715,897,020 0.04617% 58 51 4,191,811 9,098,093,840 0.04607% 59 55 3,927,253 8,623,341,580 0.04554%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 3043 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...