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Pos No. Wins Sales Percentage 1 15 394,379 473,969,970 0.08321% 2 14 533,556 674,589,380 0.07909% 3 13 861,440 1,182,980,450 0.07282% 4 29 850,548 1,176,688,050 0.07228% 5 19 871,579 1,238,240,110 0.07039% 6 07 851,245 1,219,481,920 0.06980% 7 02 632,841 914,212,050 0.06922% 8 03 862,095 1,257,977,780 0.06853% 9 24 591,918 871,391,170 0.06793% 10 25 631,293 936,731,050 0.06739% 11 06 860,455 1,286,519,980 0.06688% 12 09 761,483 1,153,488,200 0.06602% 13 12 714,973 1,094,356,190 0.06533% 14 01 696,595 1,070,092,030 0.06510% 15 11 915,966 1,409,344,750 0.06499% 16 20 467,733 725,763,790 0.06445% 17 08 446,949 698,794,440 0.06396% 18 31 585,292 917,851,830 0.06377% 19 10 671,002 1,054,466,130 0.06363% 20 26 441,458 698,768,990 0.06318% 21 17 641,790 1,018,542,700 0.06301% 22 27 588,553 939,619,160 0.06264% 23 21 398,505 639,010,320 0.06236% 24 35 708,287 1,138,266,100 0.06223% 25 33 835,990 1,350,653,630 0.06190% 26 44 543,900 889,752,660 0.06113% 27 05 344,841 564,834,010 0.06105% 28 45 496,085 814,004,130 0.06094% 29 23 476,069 782,273,330 0.06086% 30 30 471,296 775,636,620 0.06076% 31 28 516,142 853,326,610 0.06049% 32 41 831,493 1,382,935,700 0.06013% 33 37 539,409 897,400,410 0.06011% 34 51 336,563 562,995,820 0.05978% 35 04 487,421 822,423,130 0.05927% 36 32 508,277 872,979,470 0.05822% 37 48 446,890 774,820,120 0.05768% 38 47 472,808 820,730,240 0.05761% 39 39 626,039 1,095,982,070 0.05712% 40 46 219,303 388,976,760 0.05638% 41 16 518,712 929,882,690 0.05578% 42 36 482,301 865,152,340 0.05575% 43 43 576,036 1,038,668,550 0.05546% 44 22 495,792 898,939,490 0.05515% 45 18 460,316 848,196,200 0.05427% 46 49 358,204 664,722,120 0.05389% 47 34 447,581 832,248,880 0.05378% 48 52 403,518 755,782,330 0.05339% 49 42 500,440 946,378,490 0.05288% 50 40 438,694 830,467,160 0.05282% 51 54 526,621 1,057,984,020 0.04978% 52 56 294,680 599,697,600 0.04914% 53 38 666,240 1,365,658,840 0.04879% 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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