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Pos No. Wins Sales Percentage 1 08 311,575 448,803,720 0.06942% 2 06 724,482 1,061,997,430 0.06822% 3 07 668,165 993,364,240 0.06726% 4 30 773,997 1,217,979,660 0.06355% 5 04 425,142 692,076,600 0.06143% 6 24 680,302 1,116,445,000 0.06093% 7 23 589,899 969,430,800 0.06085% 8 14 666,671 1,096,068,330 0.06082% 9 02 465,981 769,202,550 0.06058% 10 01 543,036 896,850,400 0.06055% 11 17 456,775 760,055,920 0.06010% 12 11 692,959 1,173,008,170 0.05908% 13 44 728,389 1,238,253,780 0.05882% 14 03 441,532 756,326,500 0.05838% 15 16 423,320 727,962,510 0.05815% 16 05 863,146 1,487,364,990 0.05803% 17 31 630,803 1,097,953,260 0.05745% 18 12 492,600 857,532,180 0.05744% 19 09 625,649 1,094,987,590 0.05714% 20 10 438,230 772,104,900 0.05676% 21 40 350,835 618,577,830 0.05672% 22 27 541,213 965,848,150 0.05603% 23 29 340,809 611,222,410 0.05576% 24 19 634,182 1,138,301,530 0.05571% 25 33 498,972 900,223,710 0.05543% 26 20 543,446 987,303,620 0.05504% 27 38 538,033 979,899,790 0.05491% 28 46 680,069 1,239,944,370 0.05485% 29 48 498,849 909,551,850 0.05485% 30 13 728,800 1,342,786,710 0.05428% 31 26 387,182 718,038,710 0.05392% 32 41 630,774 1,170,525,060 0.05389% 33 32 380,754 710,569,300 0.05358% 34 58 858,303 1,609,946,570 0.05331% 35 35 284,072 533,083,140 0.05329% 36 59 667,151 1,252,117,050 0.05328% 37 55 211,052 398,246,620 0.05300% 38 43 238,705 451,749,290 0.05284% 39 28 289,297 550,752,040 0.05253% 40 18 374,294 712,856,740 0.05251% 41 45 502,966 958,118,540 0.05250% 42 15 608,455 1,160,924,560 0.05241% 43 21 462,898 889,797,910 0.05202% 44 37 638,845 1,230,521,100 0.05192% 45 57 744,063 1,434,118,590 0.05188% 46 36 308,579 602,190,190 0.05124% 47 49 551,467 1,083,533,490 0.05090% 48 34 486,504 956,892,350 0.05084% 49 47 307,241 605,691,160 0.05073% 50 39 816,915 1,611,556,930 0.05069% 51 25 434,611 862,673,180 0.05038% 52 52 417,289 836,258,470 0.04990% 53 42 528,949 1,062,197,340 0.04980% 54 50 619,121 1,250,093,040 0.04953% 55 53 521,309 1,081,410,360 0.04821% 56 22 502,357 1,054,894,420 0.04762% 57 56 355,336 752,267,110 0.04724% 58 54 458,442 1,017,197,690 0.04507% 59 51 266,536 593,126,570 0.04494%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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