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Pos No. Wins Sales Percentage 1 11 749,147 1,155,978,520 0.06481% 2 09 490,712 775,210,420 0.06330% 3 05 403,600 651,318,020 0.06197% 4 16 498,205 809,285,890 0.06156% 5 28 339,524 560,102,180 0.06062% 6 27 503,115 836,426,460 0.06015% 7 19 549,148 926,477,540 0.05927% 8 38 496,734 848,575,720 0.05854% 9 10 579,642 991,554,580 0.05846% 10 15 525,765 899,423,880 0.05846% 11 06 579,805 992,016,270 0.05845% 12 08 703,615 1,207,374,110 0.05828% 13 13 372,422 642,093,770 0.05800% 14 14 512,078 892,338,690 0.05739% 15 12 406,975 709,984,050 0.05732% 16 07 536,175 936,065,430 0.05728% 17 02 740,939 1,299,279,940 0.05703% 18 24 378,586 665,881,700 0.05685% 19 44 735,918 1,301,393,730 0.05655% 20 29 674,494 1,199,746,530 0.05622% 21 43 495,000 881,358,890 0.05616% 22 21 554,091 994,034,480 0.05574% 23 04 608,210 1,094,670,190 0.05556% 24 01 659,708 1,220,862,360 0.05404% 25 17 210,685 390,584,240 0.05394% 26 57 317,965 593,684,190 0.05356% 27 45 605,292 1,142,548,910 0.05298% 28 18 605,958 1,144,980,980 0.05292% 29 03 548,085 1,035,690,780 0.05292% 30 26 412,749 781,194,050 0.05284% 31 35 761,961 1,445,351,410 0.05272% 32 23 205,226 389,948,810 0.05263% 33 31 400,424 760,919,260 0.05262% 34 46 561,883 1,071,351,100 0.05245% 35 20 792,252 1,545,410,610 0.05126% 36 36 735,008 1,434,919,070 0.05122% 37 49 606,322 1,211,044,360 0.05007% 38 37 514,032 1,040,197,440 0.04942% 39 40 364,158 737,085,560 0.04941% 40 30 647,081 1,312,379,190 0.04931% 41 41 561,824 1,148,539,570 0.04892% 42 53 298,804 611,666,630 0.04885% 43 22 356,299 737,392,020 0.04832% 44 50 494,206 1,030,862,660 0.04794% 45 48 387,447 810,777,740 0.04779% 46 25 420,173 880,127,930 0.04774% 47 32 450,088 945,170,300 0.04762% 48 47 520,132 1,114,850,480 0.04665% 49 51 343,341 749,684,050 0.04580% 50 42 486,265 1,063,608,370 0.04572% 51 58 627,398 1,382,281,410 0.04539% 52 33 344,192 781,779,630 0.04403% 53 56 791,290 1,812,201,880 0.04366% 54 39 307,444 707,387,240 0.04346% 55 34 262,187 606,121,570 0.04326% 56 59 619,240 1,437,155,110 0.04309% 57 54 574,974 1,343,554,160 0.04280% 58 55 573,733 1,403,644,940 0.04087% 59 52 510,896 1,297,657,420 0.03937%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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