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Pos No. Wins Sales Percentage 1 11 591,510 793,727,580 0.07452% 2 12 386,679 527,146,370 0.07335% 3 09 417,382 610,147,260 0.06841% 4 21 740,190 1,094,500,350 0.06763% 5 07 755,136 1,127,361,690 0.06698% 6 03 486,025 738,331,260 0.06583% 7 36 621,352 962,164,860 0.06458% 8 04 506,876 787,652,540 0.06435% 9 45 539,470 842,421,750 0.06404% 10 28 731,099 1,150,955,270 0.06352% 11 31 432,537 685,198,460 0.06313% 12 27 834,366 1,322,180,560 0.06311% 13 19 619,221 1,009,469,820 0.06134% 14 49 538,766 881,735,710 0.06110% 15 38 587,126 962,205,870 0.06102% 16 17 369,614 605,904,080 0.06100% 17 37 454,387 747,587,760 0.06078% 18 22 405,238 674,001,010 0.06012% 19 18 377,842 629,447,080 0.06003% 20 14 612,598 1,022,116,760 0.05993% 21 05 405,382 684,901,230 0.05919% 22 47 863,116 1,460,928,450 0.05908% 23 23 747,242 1,275,707,160 0.05857% 24 01 568,708 971,263,540 0.05855% 25 02 723,718 1,235,998,390 0.05855% 26 26 330,056 564,864,200 0.05843% 27 06 289,292 498,190,360 0.05807% 28 24 500,284 868,060,070 0.05763% 29 33 799,560 1,410,797,500 0.05667% 30 32 561,717 1,001,410,920 0.05609% 31 25 642,722 1,152,919,360 0.05575% 32 40 442,809 796,376,760 0.05560% 33 41 367,727 662,453,580 0.05551% 34 16 547,076 992,944,840 0.05510% 35 08 544,321 999,596,590 0.05445% 36 10 590,751 1,085,270,590 0.05443% 37 35 618,620 1,138,193,160 0.05435% 38 13 492,423 920,198,780 0.05351% 39 44 486,965 916,000,560 0.05316% 40 48 386,699 730,806,600 0.05291% 41 30 340,686 650,620,590 0.05236% 42 56 479,524 921,613,190 0.05203% 43 29 381,416 741,382,850 0.05145% 44 46 316,308 618,110,380 0.05117% 45 42 634,936 1,259,969,150 0.05039% 46 58 537,524 1,066,679,930 0.05039% 47 52 608,081 1,216,130,800 0.05000% 48 51 607,246 1,229,298,140 0.04940% 49 50 488,166 989,459,390 0.04934% 50 43 248,237 503,809,960 0.04927% 51 34 501,915 1,022,069,050 0.04911% 52 15 201,442 411,310,060 0.04898% 53 39 461,950 959,383,510 0.04815% 54 20 429,302 896,368,950 0.04789% 55 59 438,648 946,882,590 0.04633% 56 54 424,596 929,792,590 0.04567% 57 55 591,395 1,334,848,770 0.04430% 58 53 275,412 622,648,540 0.04423% 59 57 413,582 971,900,680 0.04255%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 104 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...
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