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Pos No. Wins Sales Percentage 1 29 850,548 1,176,688,050 0.07228% 2 19 871,579 1,238,240,110 0.07039% 3 07 810,750 1,156,981,920 0.07007% 4 24 653,203 945,144,080 0.06911% 5 03 862,095 1,257,977,780 0.06853% 6 15 394,379 579,640,040 0.06804% 7 25 590,798 874,231,050 0.06758% 8 06 867,715 1,284,019,980 0.06758% 9 13 801,940 1,188,169,010 0.06749% 10 09 701,983 1,053,006,690 0.06666% 11 20 515,488 785,763,790 0.06560% 12 12 714,973 1,094,356,190 0.06533% 13 01 696,595 1,070,092,030 0.06510% 14 11 915,966 1,409,344,750 0.06499% 15 02 632,841 987,964,960 0.06405% 16 08 446,949 698,794,440 0.06396% 17 31 544,797 855,351,830 0.06369% 18 10 671,002 1,054,466,130 0.06363% 19 35 729,077 1,149,519,010 0.06342% 20 26 441,458 698,768,990 0.06318% 21 17 641,790 1,018,542,700 0.06301% 22 05 392,596 624,834,010 0.06283% 23 51 397,848 636,748,730 0.06248% 24 14 533,556 854,012,360 0.06248% 25 21 398,505 639,010,320 0.06236% 26 30 519,051 835,636,620 0.06211% 27 45 436,585 713,522,620 0.06119% 28 44 543,900 889,752,660 0.06113% 29 23 476,069 782,273,330 0.06086% 30 28 516,142 853,326,610 0.06049% 31 41 831,493 1,382,935,700 0.06013% 32 47 534,093 894,483,150 0.05971% 33 04 487,421 822,423,130 0.05927% 34 32 508,277 872,979,470 0.05822% 35 33 835,990 1,456,323,700 0.05740% 36 16 566,467 989,882,690 0.05723% 37 39 626,039 1,095,982,070 0.05712% 38 18 521,601 921,949,110 0.05658% 39 27 588,553 1,045,289,230 0.05631% 40 37 539,409 971,153,320 0.05554% 41 46 159,803 288,495,250 0.05539% 42 43 535,541 976,168,550 0.05486% 43 22 436,292 798,457,980 0.05464% 44 49 358,204 664,722,120 0.05389% 45 42 500,440 946,378,490 0.05288% 46 40 438,694 830,467,160 0.05282% 47 34 508,866 979,754,700 0.05194% 48 48 387,390 748,091,520 0.05178% 49 36 530,056 1,030,822,410 0.05142% 50 54 526,621 1,057,984,020 0.04978% 51 56 294,680 599,697,600 0.04914% 52 38 666,240 1,365,658,840 0.04879% 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 58 380,128 805,175,950 0.04721% 57 55 330,743 701,191,070 0.04717% 58 53 306,946 656,084,470 0.04678% 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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