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Pos No. Wins Sales Percentage 1 28 255,241 372,741,020 0.06848% 2 09 566,042 885,454,680 0.06393% 3 19 564,150 920,770,910 0.06127% 4 27 503,115 836,426,460 0.06015% 5 11 576,052 961,319,840 0.05992% 6 05 418,546 705,040,170 0.05936% 7 08 702,438 1,197,947,340 0.05864% 8 16 401,322 690,237,210 0.05814% 9 13 372,422 642,093,770 0.05800% 10 06 533,236 921,327,030 0.05788% 11 14 536,557 930,102,800 0.05769% 12 10 577,726 1,002,036,660 0.05766% 13 38 521,258 908,460,500 0.05738% 14 07 536,175 936,065,430 0.05728% 15 29 749,825 1,309,990,790 0.05724% 16 12 331,159 586,539,590 0.05646% 17 02 690,088 1,226,799,790 0.05625% 18 21 493,762 880,741,210 0.05606% 19 15 568,297 1,027,074,020 0.05533% 20 44 586,699 1,067,503,490 0.05496% 21 45 633,566 1,159,216,320 0.05465% 22 31 385,522 708,892,810 0.05438% 23 26 496,275 914,207,690 0.05428% 24 04 641,836 1,191,218,500 0.05388% 25 57 317,965 593,684,190 0.05356% 26 18 579,166 1,090,091,140 0.05313% 27 35 771,770 1,460,966,630 0.05283% 28 23 129,498 249,439,120 0.05192% 29 40 439,489 847,329,820 0.05187% 30 22 425,297 825,186,420 0.05154% 31 24 281,704 546,833,020 0.05152% 32 36 721,367 1,404,823,400 0.05135% 33 17 285,724 561,743,680 0.05086% 34 46 568,522 1,128,684,650 0.05037% 35 43 496,006 985,266,050 0.05034% 36 49 606,322 1,211,044,360 0.05007% 37 39 382,182 763,671,850 0.05005% 38 03 459,730 919,631,570 0.04999% 39 48 387,447 777,449,940 0.04984% 40 30 594,743 1,200,195,250 0.04955% 41 01 521,458 1,056,315,170 0.04937% 42 53 298,804 611,666,630 0.04885% 43 20 689,581 1,418,859,960 0.04860% 44 41 564,894 1,164,193,080 0.04852% 45 32 569,411 1,177,638,050 0.04835% 46 37 524,953 1,099,321,900 0.04775% 47 50 434,799 911,531,040 0.04770% 48 25 420,173 882,785,550 0.04760% 49 47 459,804 998,899,590 0.04603% 50 42 517,348 1,126,804,040 0.04591% 51 33 389,959 849,849,310 0.04589% 52 58 737,761 1,660,963,220 0.04442% 53 56 806,609 1,854,550,110 0.04349% 54 51 322,098 741,499,150 0.04344% 55 59 542,027 1,256,941,630 0.04312% 56 54 528,990 1,228,332,040 0.04307% 57 34 211,336 500,313,620 0.04224% 58 52 486,020 1,196,300,080 0.04063% 59 55 561,591 1,396,523,530 0.04021%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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