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Pos No. Wins Sales Percentage 1 09 435,723 656,145,360 0.06641% 2 11 672,536 1,039,012,470 0.06473% 3 16 498,205 809,285,890 0.06156% 4 28 339,524 560,102,180 0.06062% 5 19 608,072 1,006,087,550 0.06044% 6 27 503,115 836,426,460 0.06015% 7 14 549,737 914,913,810 0.06009% 8 15 540,924 902,290,210 0.05995% 9 07 754,593 1,267,610,430 0.05953% 10 05 462,362 789,553,340 0.05856% 11 06 579,805 992,016,270 0.05845% 12 02 685,951 1,180,214,880 0.05812% 13 21 536,353 926,445,790 0.05789% 14 23 297,873 515,115,540 0.05783% 15 13 486,784 846,548,160 0.05750% 16 08 728,384 1,266,749,680 0.05750% 17 12 450,665 784,093,680 0.05748% 18 10 522,331 918,661,510 0.05686% 19 24 531,165 937,322,740 0.05667% 20 29 817,946 1,451,660,450 0.05635% 21 03 482,899 858,851,560 0.05623% 22 57 442,895 791,036,670 0.05599% 23 38 480,498 860,088,480 0.05587% 24 43 500,469 896,661,480 0.05581% 25 01 534,721 959,078,780 0.05575% 26 44 581,818 1,062,127,280 0.05478% 27 17 254,375 464,693,870 0.05474% 28 04 520,246 958,813,680 0.05426% 29 45 605,292 1,142,548,910 0.05298% 30 31 400,424 760,919,260 0.05262% 31 36 807,643 1,536,843,040 0.05255% 32 18 573,062 1,090,999,410 0.05253% 33 20 851,177 1,625,020,620 0.05238% 34 46 623,255 1,190,996,380 0.05233% 35 35 728,163 1,397,160,640 0.05212% 36 53 380,884 743,935,270 0.05120% 37 49 551,333 1,091,979,300 0.05049% 38 26 324,785 645,337,540 0.05033% 39 30 656,992 1,318,879,060 0.04981% 40 40 364,158 753,559,010 0.04833% 41 37 481,112 997,341,020 0.04824% 42 41 594,107 1,237,198,770 0.04802% 43 22 357,929 746,614,330 0.04794% 44 48 372,118 776,845,200 0.04790% 45 25 387,276 809,672,910 0.04783% 46 32 419,436 882,206,860 0.04754% 47 50 494,206 1,047,336,110 0.04719% 48 47 520,132 1,114,850,480 0.04665% 49 34 305,733 660,586,010 0.04628% 50 58 671,088 1,456,391,040 0.04608% 51 51 343,341 749,684,050 0.04580% 52 42 486,265 1,063,608,370 0.04572% 53 39 366,205 829,149,110 0.04417% 54 33 344,192 781,779,630 0.04403% 55 56 703,405 1,622,681,800 0.04335% 56 59 586,344 1,366,700,090 0.04290% 57 54 544,322 1,280,590,720 0.04251% 58 55 573,733 1,403,644,940 0.04087% 59 52 408,408 1,039,109,180 0.03930%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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