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Pos No. Wins Sales Percentage 1 05 325,277 397,335,960 0.08186% 2 21 807,030 1,002,648,530 0.08049% 3 07 493,290 706,250,510 0.06985% 4 11 409,510 586,520,120 0.06982% 5 08 691,619 991,904,690 0.06973% 6 04 709,511 1,028,713,080 0.06897% 7 28 862,326 1,262,890,650 0.06828% 8 29 481,739 716,469,310 0.06724% 9 17 670,256 1,026,874,820 0.06527% 10 14 415,637 641,226,710 0.06482% 11 42 318,227 495,089,270 0.06428% 12 27 1,127,554 1,765,675,240 0.06386% 13 26 539,050 847,663,380 0.06359% 14 09 849,813 1,341,260,810 0.06336% 15 10 547,381 875,102,290 0.06255% 16 01 773,449 1,243,866,750 0.06218% 17 18 762,243 1,248,672,780 0.06104% 18 03 773,850 1,267,915,430 0.06103% 19 16 805,781 1,327,005,920 0.06072% 20 23 508,431 838,305,050 0.06065% 21 12 581,734 968,197,760 0.06008% 22 37 731,452 1,238,228,650 0.05907% 23 13 517,617 881,776,310 0.05870% 24 30 484,984 833,691,780 0.05817% 25 06 819,179 1,413,370,170 0.05796% 26 22 312,524 543,025,650 0.05755% 27 47 382,286 667,509,250 0.05727% 28 31 331,080 584,346,470 0.05666% 29 33 642,871 1,146,637,900 0.05607% 30 19 376,733 674,860,320 0.05582% 31 02 423,559 762,153,980 0.05557% 32 20 452,784 815,732,070 0.05551% 33 44 484,118 890,651,220 0.05436% 34 43 411,701 759,436,570 0.05421% 35 34 677,604 1,256,156,340 0.05394% 36 24 499,569 932,153,980 0.05359% 37 38 673,706 1,259,053,270 0.05351% 38 35 465,516 874,984,570 0.05320% 39 46 608,409 1,148,220,070 0.05299% 40 40 549,444 1,043,916,740 0.05263% 41 25 322,442 617,400,150 0.05223% 42 39 800,935 1,538,853,000 0.05205% 43 45 586,805 1,127,615,520 0.05204% 44 41 414,633 799,258,080 0.05188% 45 48 510,014 984,520,270 0.05180% 46 54 376,237 726,628,750 0.05178% 47 49 688,098 1,336,603,110 0.05148% 48 36 997,024 1,942,839,220 0.05132% 49 58 247,077 482,731,310 0.05118% 50 57 713,040 1,405,710,210 0.05072% 51 56 569,182 1,126,600,300 0.05052% 52 32 684,793 1,358,163,530 0.05042% 53 52 909,511 1,804,253,870 0.05041% 54 15 575,542 1,160,079,260 0.04961% 55 51 571,442 1,217,400,300 0.04694% 56 55 225,659 492,689,120 0.04580% 57 50 492,807 1,077,076,090 0.04575% 58 59 286,499 634,250,560 0.04517% 59 53 315,339 709,582,840 0.04444%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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