Pos No. Wins Sales Percentage 1 07 92,529,675 50,930,954,710 0.18168% 2 09 93,750,674 52,841,155,985 0.17742% 3 05 85,061,364 48,177,232,535 0.17656% 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 06 82,801,118 49,382,432,175 0.16767% 10 17 86,129,195 51,431,815,125 0.16746% 11 27 89,494,716 53,495,354,270 0.16729% 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 79,703,575 48,605,861,740 0.16398% 18 28 84,352,025 51,531,985,120 0.16369% 19 13 71,551,998 44,289,189,690 0.16156% 20 25 88,889,119 55,025,574,865 0.16154% 21 14 81,905,274 50,836,272,845 0.16112% 22 24 82,003,686 50,910,917,910 0.16107% 23 29 80,108,804 50,019,298,760 0.16016% 24 30 86,025,754 53,881,056,845 0.15966% 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 83,598,887 53,338,290,260 0.15673% 29 01 76,037,011 48,625,046,755 0.15637% 30 16 72,003,292 46,183,663,985 0.15591% 31 32 80,023,744 51,594,680,960 0.15510% 32 42 81,056,088 52,313,639,650 0.15494% 33 48 80,670,211 52,126,683,335 0.15476% 34 38 85,337,382 55,158,030,445 0.15471% 35 43 83,487,790 53,976,760,265 0.15467% 36 26 77,140,891 50,098,216,215 0.15398% 37 31 85,466,976 55,521,435,575 0.15394% 38 40 84,094,505 56,185,525,575 0.14967% 39 45 75,519,271 50,479,666,155 0.14960% 40 47 80,806,608 54,114,948,120 0.14932% 41 20 64,537,210 44,200,053,865 0.14601% 42 36 70,444,588 48,402,996,100 0.14554% 43 37 70,553,241 48,631,161,150 0.14508% 44 39 75,946,367 52,367,116,795 0.14503% 45 34 73,349,511 50,649,883,545 0.14482% 46 35 75,232,842 51,990,603,120 0.14470% 47 49 73,880,429 51,074,928,055 0.14465% 48 46 69,074,488 49,553,381,025 0.13939% 49 41 65,491,597 47,018,997,530 0.13929% 50 58 5,182,108 10,935,598,160 0.04739% 51 52 5,461,623 11,536,197,520 0.04734% 52 57 4,276,227 9,122,200,130 0.04688% 53 54 4,995,108 10,666,927,790 0.04683% 54 59 4,400,688 9,422,588,690 0.04670% 55 53 3,855,448 8,258,420,840 0.04669% 56 50 4,265,470 9,154,327,220 0.04660% 57 56 4,461,850 9,648,679,090 0.04624% 58 51 4,165,914 9,038,093,840 0.04609% 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 3038 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...