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 85,203,588 48,410,524,975 0.17600% 4 11 92,738,199 54,150,610,745 0.17126% 5 03 86,305,721 50,411,008,955 0.17120% 6 44 96,259,158 57,016,801,765 0.16883% 7 23 93,696,981 55,762,898,925 0.16803% 8 12 85,081,638 50,707,391,675 0.16779% 9 06 83,044,306 49,771,212,465 0.16685% 10 27 89,589,803 53,697,544,820 0.16684% 11 17 86,256,648 51,703,118,245 0.16683% 12 18 83,675,015 50,672,117,055 0.16513% 13 04 82,430,945 49,931,268,955 0.16509% 14 19 80,586,012 48,978,153,805 0.16453% 15 02 81,841,139 49,769,656,725 0.16444% 16 10 82,978,849 50,570,385,540 0.16409% 17 08 79,770,659 48,733,079,670 0.16369% 18 28 84,476,227 51,696,350,240 0.16341% 19 24 82,041,871 50,910,917,910 0.16115% 20 25 88,889,119 55,160,574,865 0.16115% 21 14 82,014,695 50,996,272,845 0.16082% 22 13 71,656,943 44,559,189,690 0.16081% 23 29 80,253,721 50,223,541,150 0.15979% 24 21 70,733,822 44,501,639,730 0.15895% 25 30 86,204,374 54,276,644,945 0.15882% 26 15 78,233,368 49,283,677,930 0.15874% 27 22 78,807,789 49,667,849,860 0.15867% 28 16 72,003,292 46,183,663,985 0.15591% 29 33 83,922,035 53,881,544,600 0.15575% 30 01 76,357,847 49,168,801,045 0.15530% 31 32 80,023,744 51,729,680,960 0.15470% 32 42 81,185,498 52,483,834,850 0.15469% 33 48 80,695,665 52,192,163,055 0.15461% 34 38 85,424,740 55,369,814,465 0.15428% 35 43 83,769,543 54,441,867,065 0.15387% 36 26 77,297,622 50,330,361,815 0.15358% 37 31 85,678,165 55,865,691,085 0.15336% 38 45 75,568,402 50,584,031,275 0.14939% 39 40 84,212,417 56,379,169,595 0.14937% 40 47 80,855,739 54,219,313,240 0.14913% 41 20 64,615,000 44,307,758,205 0.14583% 42 36 70,550,146 48,638,429,040 0.14505% 43 37 70,729,832 48,826,161,150 0.14486% 44 49 73,880,429 51,074,928,055 0.14465% 45 39 76,048,319 52,601,091,765 0.14458% 46 34 73,487,872 50,981,580,795 0.14415% 47 35 75,334,926 52,305,121,820 0.14403% 48 46 69,154,411 49,721,876,275 0.13908% 49 41 65,664,736 47,321,296,460 0.13876% 50 58 5,233,521 11,062,902,860 0.04731% 51 52 5,579,133 11,816,362,590 0.04722% 52 54 5,083,019 10,871,407,110 0.04676% 53 57 4,442,238 9,503,072,650 0.04675% 54 53 3,975,950 8,520,897,190 0.04666% 55 50 4,289,852 9,221,545,150 0.04652% 56 59 4,489,696 9,659,376,020 0.04648% 57 51 4,270,848 9,199,445,730 0.04643% 58 56 4,511,577 9,783,201,720 0.04612% 59 55 4,044,528 8,866,207,570 0.04562%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 3061 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...