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Pos No. Wins Sales Percentage 1 07 800,665 1,091,346,570 0.07336% 2 12 841,738 1,160,001,930 0.07256% 3 05 781,457 1,097,367,520 0.07121% 4 11 726,556 1,031,009,100 0.07047% 5 03 630,250 909,067,680 0.06933% 6 04 674,899 1,004,645,460 0.06718% 7 35 570,251 853,484,730 0.06681% 8 01 566,417 851,168,230 0.06655% 9 29 437,674 658,450,720 0.06647% 10 18 782,622 1,183,469,870 0.06613% 11 06 800,037 1,217,173,390 0.06573% 12 08 381,774 581,583,960 0.06564% 13 17 592,338 910,598,560 0.06505% 14 21 271,977 422,777,580 0.06433% 15 25 509,370 800,596,110 0.06362% 16 16 621,835 977,915,660 0.06359% 17 48 596,986 939,298,270 0.06356% 18 15 776,969 1,236,178,790 0.06285% 19 09 1,112,588 1,797,076,500 0.06191% 20 32 459,233 742,149,070 0.06188% 21 23 465,801 753,997,600 0.06178% 22 14 431,004 705,388,090 0.06110% 23 37 508,546 836,034,730 0.06083% 24 26 282,489 466,730,340 0.06053% 25 40 780,709 1,299,755,930 0.06007% 26 10 814,477 1,358,987,170 0.05993% 27 30 546,332 916,542,700 0.05961% 28 42 701,805 1,183,277,730 0.05931% 29 38 664,092 1,123,504,130 0.05911% 30 41 252,526 428,207,500 0.05897% 31 44 340,208 579,562,710 0.05870% 32 28 453,245 786,129,980 0.05766% 33 33 544,588 949,116,610 0.05738% 34 19 315,521 550,914,860 0.05727% 35 49 492,158 891,963,890 0.05518% 36 13 407,118 739,761,240 0.05503% 37 27 563,096 1,024,513,380 0.05496% 38 24 511,718 932,483,050 0.05488% 39 22 535,628 976,937,900 0.05483% 40 31 523,264 954,526,960 0.05482% 41 02 479,711 884,568,690 0.05423% 42 53 443,624 823,969,410 0.05384% 43 46 422,045 784,327,370 0.05381% 44 45 478,420 892,869,730 0.05358% 45 47 622,109 1,164,627,980 0.05342% 46 43 498,932 952,774,470 0.05237% 47 52 394,004 770,573,130 0.05113% 48 34 424,779 839,200,050 0.05062% 49 20 502,101 1,010,241,880 0.04970% 50 57 441,096 894,155,620 0.04933% 51 36 560,268 1,157,924,530 0.04839% 52 58 377,762 787,500,160 0.04797% 53 59 613,029 1,307,708,470 0.04688% 54 39 336,221 720,285,240 0.04668% 55 55 257,323 555,017,970 0.04636% 56 54 549,768 1,199,536,730 0.04583% 57 51 492,242 1,082,768,590 0.04546% 58 56 384,589 872,275,280 0.04409% 59 50 305,955 713,149,340 0.04290%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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