Pos No. Wins Sales Percentage 1 07 92,902,244 51,462,963,500 0.18052% 2 09 94,259,974 53,556,093,775 0.17600% 3 05 85,500,916 48,805,392,795 0.17519% 4 03 86,486,282 50,608,989,955 0.17089% 5 11 93,117,439 54,695,429,075 0.17025% 6 44 96,298,025 57,082,743,895 0.16870% 7 23 93,866,452 56,060,612,865 0.16744% 8 12 85,519,378 51,308,532,065 0.16668% 9 27 89,726,772 53,905,539,350 0.16645% 10 06 83,237,378 50,057,296,015 0.16628% 11 17 86,549,851 52,172,107,965 0.16589% 12 04 82,521,300 50,098,339,025 0.16472% 13 18 83,952,527 51,015,542,535 0.16456% 14 19 80,621,271 49,038,153,805 0.16441% 15 02 81,909,801 49,903,409,635 0.16414% 16 10 83,114,302 50,772,930,840 0.16370% 17 28 84,616,460 52,014,391,610 0.16268% 18 08 80,064,702 49,221,588,710 0.16266% 19 25 89,060,802 55,425,112,755 0.16069% 20 24 82,228,405 51,247,332,720 0.16045% 21 14 82,146,169 51,241,073,605 0.16031% 22 13 71,889,666 44,924,859,760 0.16002% 23 29 80,328,199 50,329,763,160 0.15960% 24 21 70,946,120 44,764,998,510 0.15849% 25 22 78,865,633 49,770,426,160 0.15846% 26 30 86,390,059 54,541,514,705 0.15839% 27 15 78,415,732 49,581,373,680 0.15816% 28 33 84,172,495 54,250,196,280 0.15516% 29 16 72,327,861 46,645,414,845 0.15506% 30 01 76,425,144 49,331,346,345 0.15492% 31 32 80,120,650 51,891,307,980 0.15440% 32 48 80,845,414 52,439,780,015 0.15417% 33 43 83,861,165 54,551,867,065 0.15373% 34 42 81,404,399 52,967,757,580 0.15369% 35 38 85,648,787 55,738,005,465 0.15366% 36 26 77,365,950 50,490,361,815 0.15323% 37 31 85,857,158 56,157,733,725 0.15289% 38 45 75,740,699 50,818,651,805 0.14904% 39 40 84,443,696 56,747,967,905 0.14880% 40 47 81,149,453 54,687,499,080 0.14839% 41 20 64,796,611 44,568,698,095 0.14539% 42 39 76,118,952 52,703,416,225 0.14443% 43 36 70,772,683 49,006,229,710 0.14442% 44 37 70,920,455 49,129,914,060 0.14435% 45 49 73,980,801 51,266,247,965 0.14431% 46 35 75,426,115 52,438,874,730 0.14384% 47 34 73,609,398 51,197,840,805 0.14377% 48 46 69,299,522 49,930,422,745 0.13879% 49 41 65,832,677 47,583,905,440 0.13835% 50 58 5,377,567 11,289,003,370 0.04764% 51 52 5,612,536 11,890,115,500 0.04720% 52 57 4,557,330 9,701,114,020 0.04698% 53 51 4,456,177 9,500,268,710 0.04691% 54 50 4,357,149 9,324,090,450 0.04673% 55 54 5,141,593 11,005,539,080 0.04672% 56 53 4,005,853 8,580,897,190 0.04668% 57 59 4,598,142 9,861,506,620 0.04663% 58 56 4,511,577 9,783,201,720 0.04612% 59 55 4,175,238 9,121,045,310 0.04578%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 3091 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...