Pos No. Wins Sales Percentage 1 07 93,775,448 52,733,822,640 0.17783% 2 05 86,032,799 49,567,892,495 0.17357% 3 09 95,160,633 55,079,752,955 0.17277% 4 03 86,981,387 51,384,697,165 0.16927% 5 11 93,684,093 55,486,007,635 0.16884% 6 44 96,599,367 57,596,364,475 0.16772% 7 23 94,469,814 56,905,115,955 0.16601% 8 17 87,085,540 52,930,644,695 0.16453% 9 27 90,289,868 54,930,052,730 0.16437% 10 06 83,892,098 51,048,385,855 0.16434% 11 12 86,360,365 52,555,441,445 0.16432% 12 19 80,936,792 49,589,068,665 0.16321% 13 04 83,212,757 51,050,845,275 0.16300% 14 18 84,577,930 52,029,012,405 0.16256% 15 02 82,389,512 50,787,978,325 0.16222% 16 08 80,471,292 49,750,342,960 0.16175% 17 10 83,793,326 51,929,372,710 0.16136% 18 28 85,182,709 52,960,997,000 0.16084% 19 25 89,437,113 56,081,170,975 0.15948% 20 14 82,652,351 51,996,014,775 0.15896% 21 24 82,660,290 52,041,774,400 0.15883% 22 29 80,730,019 51,001,991,870 0.15829% 23 21 71,051,216 44,989,037,840 0.15793% 24 13 72,494,224 45,969,720,440 0.15770% 25 30 86,991,778 55,651,011,645 0.15632% 26 15 79,246,112 50,999,802,570 0.15539% 27 22 79,627,951 51,253,808,240 0.15536% 28 16 72,790,569 47,382,015,955 0.15362% 29 01 76,962,888 50,199,969,275 0.15331% 30 33 84,878,211 55,623,786,950 0.15259% 31 32 80,753,956 53,036,304,790 0.15226% 32 42 81,947,836 53,847,112,580 0.15219% 33 26 77,693,146 51,072,491,255 0.15212% 34 38 86,216,167 56,692,991,165 0.15208% 35 48 81,515,269 53,626,707,815 0.15200% 36 43 84,505,688 55,833,636,695 0.15135% 37 31 86,469,901 57,299,923,005 0.15091% 38 45 76,327,280 52,007,687,975 0.14676% 39 40 85,289,390 58,249,094,105 0.14642% 40 47 81,715,035 55,830,839,440 0.14636% 41 37 71,271,781 49,795,948,790 0.14313% 42 49 74,402,356 52,026,891,945 0.14301% 43 20 65,354,047 45,710,554,975 0.14297% 44 39 76,577,857 53,719,201,005 0.14255% 45 35 76,080,629 53,512,958,220 0.14217% 46 36 71,445,607 50,359,218,340 0.14187% 47 34 74,177,126 52,397,138,565 0.14157% 48 46 69,687,417 50,719,126,865 0.13740% 49 41 66,187,815 48,364,575,320 0.13685% 50 52 6,093,531 12,874,161,370 0.04733% 51 58 5,780,722 12,224,678,800 0.04729% 52 53 4,489,805 9,515,465,360 0.04718% 53 57 5,020,726 10,689,346,850 0.04697% 54 59 5,266,506 11,300,830,090 0.04660% 55 51 4,869,083 10,471,366,330 0.04650% 56 54 5,759,518 12,396,323,000 0.04646% 57 50 4,595,807 9,934,694,490 0.04626% 58 56 4,978,962 10,870,856,160 0.04580% 59 55 4,449,241 9,754,698,280 0.04561%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 3190 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...