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Pos No. Wins Sales Percentage 1 51 452,753 601,996,940 0.07521% 2 06 905,600 1,234,400,110 0.07336% 3 09 710,987 984,165,580 0.07224% 4 15 454,203 639,990,800 0.07097% 5 12 1,107,297 1,564,792,500 0.07076% 6 25 445,348 631,580,190 0.07051% 7 29 651,537 938,832,640 0.06940% 8 11 886,756 1,300,880,550 0.06817% 9 17 833,784 1,223,443,460 0.06815% 10 24 456,547 673,109,150 0.06783% 11 01 516,655 773,247,090 0.06682% 12 13 788,833 1,191,440,150 0.06621% 13 20 649,345 986,703,680 0.06581% 14 30 546,869 836,376,960 0.06539% 15 19 717,540 1,101,296,700 0.06515% 16 03 686,406 1,055,351,480 0.06504% 17 04 577,776 891,177,320 0.06483% 18 45 524,128 820,040,500 0.06391% 19 02 628,763 984,482,840 0.06387% 20 47 588,142 922,059,450 0.06379% 21 41 751,722 1,185,900,770 0.06339% 22 05 325,952 518,042,390 0.06292% 23 08 520,109 827,262,830 0.06287% 24 35 758,980 1,209,519,010 0.06275% 25 28 503,096 811,742,490 0.06198% 26 26 455,956 738,768,990 0.06172% 27 37 473,851 769,029,160 0.06162% 28 14 565,291 919,390,140 0.06149% 29 46 203,344 330,819,710 0.06147% 30 07 460,256 753,930,090 0.06105% 31 10 619,672 1,017,431,200 0.06091% 32 44 476,786 785,421,050 0.06070% 33 27 579,177 970,489,530 0.05968% 34 18 469,408 790,157,490 0.05941% 35 33 907,157 1,545,622,520 0.05869% 36 16 634,845 1,085,441,880 0.05849% 37 31 546,121 944,350,550 0.05783% 38 39 633,128 1,097,394,530 0.05769% 39 43 562,547 978,132,800 0.05751% 40 21 263,761 459,623,490 0.05739% 41 32 437,555 762,705,730 0.05737% 42 40 498,250 871,459,340 0.05717% 43 22 405,155 732,732,850 0.05529% 44 23 356,584 645,238,400 0.05526% 45 49 373,901 689,053,930 0.05426% 46 42 557,985 1,052,259,850 0.05303% 47 55 430,823 829,945,260 0.05191% 48 38 785,941 1,530,671,290 0.05135% 49 36 542,184 1,057,707,810 0.05126% 50 34 437,490 873,978,710 0.05006% 51 54 585,195 1,192,115,990 0.04909% 52 48 380,359 788,595,100 0.04823% 53 58 299,761 625,662,720 0.04791% 54 53 294,034 614,500,350 0.04785% 55 59 410,911 864,664,460 0.04752% 56 57 463,724 983,564,750 0.04715% 57 56 216,365 461,283,970 0.04690% 58 50 234,427 503,145,410 0.04659% 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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