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Pos No. Wins Sales Percentage 1 13 870,268 1,188,169,010 0.07324% 2 09 770,310 1,053,006,690 0.07315% 3 26 509,785 698,768,990 0.07295% 4 29 850,548 1,176,688,050 0.07228% 5 12 783,301 1,094,356,190 0.07158% 6 19 871,579 1,238,240,110 0.07039% 7 07 810,750 1,156,981,920 0.07007% 8 06 824,899 1,182,435,860 0.06976% 9 24 653,203 945,144,080 0.06911% 10 03 862,095 1,257,977,780 0.06853% 11 08 433,074 633,998,990 0.06831% 12 15 394,379 579,640,040 0.06804% 13 25 547,154 809,435,600 0.06760% 14 31 574,567 855,351,830 0.06717% 15 28 503,096 751,742,490 0.06692% 16 20 515,488 785,763,790 0.06560% 17 11 915,966 1,409,344,750 0.06499% 18 01 652,951 1,005,296,580 0.06495% 19 30 476,236 734,052,500 0.06488% 20 02 632,841 987,964,960 0.06405% 21 40 464,207 728,883,040 0.06369% 22 10 671,002 1,054,466,130 0.06363% 23 35 729,077 1,149,519,010 0.06342% 24 17 641,790 1,018,542,700 0.06301% 25 05 392,596 624,834,010 0.06283% 26 51 397,848 636,748,730 0.06248% 27 14 533,556 854,012,360 0.06248% 28 21 398,505 639,010,320 0.06236% 29 45 436,585 713,522,620 0.06119% 30 44 543,900 889,752,660 0.06113% 31 23 476,069 782,273,330 0.06086% 32 41 831,493 1,382,935,700 0.06013% 33 47 534,093 894,483,150 0.05971% 34 33 865,759 1,456,323,700 0.05945% 35 04 487,421 822,423,130 0.05927% 36 49 387,973 664,722,120 0.05837% 37 32 508,277 872,979,470 0.05822% 38 39 626,039 1,095,982,070 0.05712% 39 18 521,601 921,949,110 0.05658% 40 16 522,823 925,087,240 0.05652% 41 27 588,553 1,045,289,230 0.05631% 42 37 539,409 971,153,320 0.05554% 43 46 159,803 288,495,250 0.05539% 44 43 535,541 976,168,550 0.05486% 45 38 734,568 1,365,658,840 0.05379% 46 22 392,648 733,662,530 0.05352% 47 42 500,440 946,378,490 0.05288% 48 34 508,866 979,754,700 0.05194% 49 48 387,390 748,091,520 0.05178% 50 36 530,056 1,030,822,410 0.05142% 51 55 360,512 701,191,070 0.05141% 52 54 526,621 1,057,984,020 0.04978% 53 52 403,518 829,535,240 0.04864% 54 50 326,135 671,181,160 0.04859% 55 59 465,083 959,160,880 0.04849% 56 58 337,313 703,591,830 0.04794% 57 53 264,130 554,500,350 0.04763% 58 56 251,036 534,902,150 0.04693% 59 57 428,465 923,564,750 0.04639%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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