Pos No. Wins Sales Percentage 1 07 92,762,169 51,296,741,490 0.18083% 2 09 93,898,039 52,942,507,875 0.17736% 3 05 85,251,342 48,470,524,975 0.17588% 4 03 86,351,138 50,475,629,485 0.17107% 5 11 92,799,846 54,252,237,765 0.17105% 6 44 96,259,158 57,016,801,765 0.16883% 7 12 85,195,382 50,772,012,205 0.16780% 8 23 93,786,618 55,922,571,495 0.16771% 9 06 83,092,061 49,831,212,465 0.16675% 10 27 89,656,139 53,803,214,890 0.16664% 11 17 86,315,656 51,802,790,815 0.16662% 12 04 82,430,945 49,931,268,955 0.16509% 13 18 83,795,308 50,845,542,535 0.16480% 14 19 80,586,012 48,978,153,805 0.16453% 15 02 81,874,542 49,843,409,635 0.16426% 16 10 82,978,849 50,570,385,540 0.16409% 17 08 79,862,076 48,834,706,690 0.16354% 18 28 84,536,626 51,816,350,240 0.16315% 19 25 88,889,119 55,160,574,865 0.16115% 20 13 71,791,607 44,664,859,760 0.16073% 21 24 82,148,572 51,109,291,350 0.16073% 22 14 82,114,434 51,175,695,825 0.16046% 23 29 80,253,721 50,223,541,150 0.15979% 24 21 70,779,239 44,566,260,260 0.15882% 25 30 86,252,129 54,336,644,945 0.15874% 26 22 78,807,789 49,667,849,860 0.15867% 27 15 78,299,705 49,389,348,000 0.15854% 28 16 72,081,676 46,303,663,985 0.15567% 29 33 84,018,141 53,987,214,670 0.15563% 30 01 76,357,847 49,228,801,045 0.15511% 31 32 80,085,391 51,831,307,980 0.15451% 32 48 80,729,068 52,265,915,965 0.15446% 33 42 81,216,127 52,603,834,850 0.15439% 34 38 85,552,076 55,469,487,035 0.15423% 35 43 83,769,543 54,441,867,065 0.15387% 36 26 77,365,950 50,390,361,815 0.15353% 37 31 85,707,935 55,865,691,085 0.15342% 38 40 84,311,374 56,439,169,595 0.14938% 39 45 75,613,818 50,648,651,805 0.14929% 40 47 80,976,031 54,392,738,720 0.14887% 41 20 64,662,755 44,367,758,205 0.14574% 42 49 73,910,199 51,074,928,055 0.14471% 43 36 70,725,884 48,905,726,130 0.14462% 44 39 76,048,319 52,601,091,765 0.14458% 45 37 70,763,235 48,959,914,060 0.14453% 46 35 75,396,211 52,378,874,730 0.14394% 47 34 73,582,560 51,129,086,615 0.14392% 48 46 69,154,411 49,721,876,275 0.13908% 49 41 65,769,161 47,485,589,560 0.13850% 50 58 5,233,521 11,062,902,860 0.04731% 51 52 5,612,536 11,890,115,500 0.04720% 52 54 5,083,019 10,871,407,110 0.04676% 53 57 4,442,238 9,503,072,650 0.04675% 54 51 4,332,133 9,273,198,640 0.04672% 55 53 3,975,950 8,520,897,190 0.04666% 56 59 4,551,343 9,761,003,040 0.04663% 57 50 4,289,852 9,221,545,150 0.04652% 58 56 4,511,577 9,783,201,720 0.04612% 59 55 4,104,927 8,926,207,570 0.04599%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 3071 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...