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Pos No. Wins Sales Percentage 1 06 828,439 1,174,400,110 0.07054% 2 29 651,537 938,832,640 0.06940% 3 09 629,722 934,165,580 0.06741% 4 13 842,662 1,251,440,150 0.06734% 5 12 938,514 1,394,792,500 0.06729% 6 19 771,370 1,161,296,700 0.06642% 7 24 533,718 808,109,150 0.06605% 8 20 649,345 986,703,680 0.06581% 9 30 546,869 836,376,960 0.06539% 10 01 543,747 833,247,090 0.06526% 11 03 686,406 1,055,351,480 0.06504% 12 15 377,042 579,990,800 0.06501% 13 51 374,047 576,748,730 0.06485% 14 11 873,573 1,367,126,360 0.06390% 15 26 509,785 798,768,990 0.06382% 16 02 668,100 1,047,964,960 0.06375% 17 08 601,030 947,262,830 0.06345% 18 17 770,268 1,223,443,460 0.06296% 19 05 325,952 518,042,390 0.06292% 20 35 758,980 1,209,519,010 0.06275% 21 28 503,096 811,742,490 0.06198% 22 14 565,291 919,390,140 0.06149% 23 07 499,593 817,412,210 0.06112% 24 45 471,843 773,522,620 0.06100% 25 25 348,143 571,580,190 0.06091% 26 10 619,672 1,017,431,200 0.06091% 27 44 516,123 848,903,170 0.06080% 28 04 487,421 822,423,130 0.05927% 29 46 230,436 390,819,710 0.05896% 30 47 621,841 1,057,059,450 0.05883% 31 33 907,157 1,545,622,520 0.05869% 32 16 634,845 1,085,441,880 0.05849% 33 27 624,515 1,073,995,510 0.05815% 34 41 688,206 1,185,900,770 0.05803% 35 31 546,121 944,350,550 0.05783% 36 32 476,892 826,187,850 0.05772% 37 39 633,128 1,097,394,530 0.05769% 38 21 263,761 459,623,490 0.05739% 39 40 498,250 871,459,340 0.05717% 40 37 504,738 897,535,140 0.05624% 41 18 454,957 815,157,490 0.05581% 42 23 356,584 645,238,400 0.05526% 43 43 470,925 868,132,800 0.05425% 44 22 450,493 836,238,830 0.05387% 45 49 458,575 856,042,030 0.05357% 46 42 585,077 1,112,259,850 0.05260% 47 36 542,184 1,057,707,810 0.05126% 48 48 434,189 848,595,100 0.05117% 49 34 410,652 805,224,520 0.05100% 50 38 831,279 1,634,177,270 0.05087% 51 54 558,357 1,123,361,800 0.04970% 52 59 488,081 999,664,460 0.04882% 53 53 294,034 614,500,350 0.04785% 54 55 360,512 761,191,070 0.04736% 55 57 463,724 983,564,750 0.04715% 56 56 216,365 461,283,970 0.04690% 57 58 293,164 625,662,720 0.04686% 58 50 261,519 563,145,410 0.04644% 59 52 347,315 763,943,870 0.04546%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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