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Pos No. Wins Sales Percentage 1 09 866,476 1,230,399,280 0.07042% 2 06 750,319 1,065,483,660 0.07042% 3 03 650,723 926,183,810 0.07026% 4 21 369,220 526,933,500 0.07007% 5 12 1,077,612 1,564,825,590 0.06886% 6 29 695,253 1,023,819,720 0.06791% 7 37 510,919 765,106,080 0.06678% 8 19 640,385 963,023,000 0.06650% 9 13 788,833 1,191,440,150 0.06621% 10 24 536,380 811,150,520 0.06613% 11 05 610,648 923,905,360 0.06609% 12 11 988,177 1,509,578,250 0.06546% 13 15 482,965 738,700,760 0.06538% 14 01 712,568 1,099,679,670 0.06480% 15 02 640,523 989,097,040 0.06476% 16 20 550,771 851,703,680 0.06467% 17 30 561,429 873,517,310 0.06427% 18 18 478,298 750,157,490 0.06376% 19 46 277,821 437,041,720 0.06357% 20 25 402,291 634,232,380 0.06343% 21 07 607,547 960,768,600 0.06324% 22 51 509,921 807,178,810 0.06317% 23 17 768,633 1,221,838,400 0.06291% 24 08 520,109 827,262,830 0.06287% 25 35 758,980 1,209,519,010 0.06275% 26 10 592,624 958,741,510 0.06181% 27 45 422,719 686,133,920 0.06161% 28 14 565,291 919,390,140 0.06149% 29 16 699,593 1,152,751,890 0.06069% 30 40 460,600 772,901,420 0.05959% 31 44 571,328 959,152,970 0.05957% 32 28 484,356 814,783,860 0.05945% 33 33 878,049 1,479,589,220 0.05934% 34 26 357,382 603,768,990 0.05919% 35 47 665,466 1,125,238,660 0.05914% 36 41 731,670 1,243,921,600 0.05882% 37 04 477,295 815,370,830 0.05854% 38 39 573,177 991,373,080 0.05782% 39 27 594,512 1,034,827,380 0.05745% 40 32 474,929 829,571,660 0.05725% 41 43 537,718 943,106,500 0.05702% 42 31 540,922 950,451,060 0.05691% 43 22 325,734 572,437,800 0.05690% 44 48 433,260 792,330,190 0.05468% 45 23 360,488 659,356,690 0.05467% 46 42 574,208 1,069,137,790 0.05371% 47 49 298,889 560,953,010 0.05328% 48 38 887,918 1,742,548,720 0.05096% 49 58 267,339 525,417,720 0.05088% 50 36 504,590 993,312,870 0.05080% 51 50 326,610 665,690,710 0.04906% 52 57 515,028 1,057,683,040 0.04869% 53 55 483,267 993,594,840 0.04864% 54 54 630,004 1,297,127,430 0.04857% 55 34 330,138 707,957,260 0.04663% 56 53 224,975 482,476,350 0.04663% 57 59 353,604 767,424,110 0.04608% 58 56 181,883 401,283,970 0.04533% 59 52 260,922 597,893,410 0.04364%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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