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Pos No. Wins Sales Percentage 1 21 369,220 526,933,500 0.07007% 2 09 857,631 1,227,456,430 0.06987% 3 06 807,026 1,165,483,660 0.06924% 4 03 707,430 1,026,183,810 0.06894% 5 29 678,614 985,054,650 0.06889% 6 12 1,077,612 1,564,825,590 0.06886% 7 05 575,526 852,910,210 0.06748% 8 01 583,953 875,792,390 0.06668% 9 19 574,029 866,001,650 0.06628% 10 13 788,833 1,191,440,150 0.06621% 11 24 536,380 811,150,520 0.06613% 12 30 614,166 938,922,260 0.06541% 13 11 921,821 1,412,556,900 0.06526% 14 07 600,332 920,152,100 0.06524% 15 37 539,448 829,029,160 0.06507% 16 20 550,771 851,703,680 0.06467% 17 51 452,753 700,312,820 0.06465% 18 15 454,203 706,074,350 0.06433% 19 02 628,763 984,482,840 0.06387% 20 46 277,821 437,041,720 0.06357% 21 18 535,005 850,157,490 0.06293% 22 08 520,109 827,262,830 0.06287% 23 35 758,980 1,209,519,010 0.06275% 24 17 828,584 1,327,859,850 0.06240% 25 25 453,107 733,589,940 0.06177% 26 16 674,707 1,092,751,890 0.06174% 27 45 358,835 582,512,360 0.06160% 28 10 652,487 1,059,976,500 0.06156% 29 14 565,291 919,390,140 0.06149% 30 44 476,786 785,421,050 0.06070% 31 47 630,344 1,054,243,510 0.05979% 32 41 706,784 1,183,921,600 0.05970% 33 28 484,356 814,783,860 0.05945% 34 33 878,049 1,479,589,220 0.05934% 35 26 357,382 603,768,990 0.05919% 36 27 512,457 867,961,390 0.05904% 37 04 577,776 989,493,200 0.05839% 38 40 506,008 875,153,210 0.05782% 39 39 633,128 1,097,394,530 0.05769% 40 43 562,547 978,132,800 0.05751% 41 32 437,555 762,705,730 0.05737% 42 31 540,922 950,451,060 0.05691% 43 22 325,734 572,437,800 0.05690% 44 49 339,418 629,053,930 0.05396% 45 23 389,017 723,279,770 0.05379% 46 42 603,336 1,130,301,220 0.05338% 47 48 449,907 861,955,570 0.05220% 48 38 785,941 1,530,671,290 0.05135% 49 36 542,184 1,057,707,810 0.05126% 50 58 267,339 525,417,720 0.05088% 51 50 301,724 605,690,710 0.04981% 52 54 585,195 1,192,115,990 0.04909% 53 55 385,885 795,733,760 0.04849% 54 57 543,558 1,121,606,120 0.04846% 55 34 390,089 813,978,710 0.04792% 56 53 294,034 614,500,350 0.04785% 57 59 410,911 864,664,460 0.04752% 58 52 317,630 697,893,410 0.04551% 59 56 181,883 401,283,970 0.04533%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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