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Pos No. Wins Sales Percentage 1 10 667,218 888,149,990 0.07512% 2 29 1,036,250 1,482,118,370 0.06992% 3 06 649,549 960,239,690 0.06764% 4 11 945,537 1,410,717,880 0.06703% 5 24 539,850 811,004,960 0.06657% 6 07 826,056 1,245,741,710 0.06631% 7 03 882,442 1,332,172,060 0.06624% 8 19 992,400 1,506,713,860 0.06587% 9 17 722,215 1,104,522,730 0.06539% 10 08 469,603 718,954,640 0.06532% 11 12 731,427 1,131,875,850 0.06462% 12 23 335,211 519,711,380 0.06450% 13 09 754,469 1,177,136,310 0.06409% 14 25 776,164 1,225,491,970 0.06333% 15 35 711,761 1,137,479,070 0.06257% 16 20 727,270 1,169,804,030 0.06217% 17 14 604,337 974,397,790 0.06202% 18 28 570,280 920,180,640 0.06197% 19 26 456,327 740,185,040 0.06165% 20 31 521,326 850,488,400 0.06130% 21 01 370,501 605,299,230 0.06121% 22 13 688,114 1,141,468,090 0.06028% 23 05 326,832 545,832,630 0.05988% 24 21 430,656 721,763,030 0.05967% 25 39 594,104 1,003,040,390 0.05923% 26 44 580,080 984,679,120 0.05891% 27 45 664,580 1,135,670,120 0.05852% 28 27 583,528 998,494,030 0.05844% 29 41 716,750 1,227,599,490 0.05839% 30 46 202,807 348,699,740 0.05816% 31 15 493,856 857,351,280 0.05760% 32 02 606,359 1,054,783,440 0.05749% 33 22 636,538 1,110,658,950 0.05731% 34 33 587,056 1,032,837,700 0.05684% 35 47 404,562 725,957,310 0.05573% 36 16 703,250 1,273,232,340 0.05523% 37 04 470,925 858,941,830 0.05483% 38 48 624,721 1,142,532,790 0.05468% 39 42 451,202 825,496,670 0.05466% 40 49 533,088 978,946,890 0.05446% 41 30 204,907 380,048,520 0.05392% 42 32 369,465 690,392,990 0.05352% 43 56 374,354 703,109,850 0.05324% 44 34 534,352 1,013,294,280 0.05273% 45 51 379,640 720,816,150 0.05267% 46 54 603,827 1,163,512,250 0.05190% 47 57 305,575 592,346,670 0.05159% 48 18 523,772 1,016,372,960 0.05153% 49 38 596,912 1,158,521,950 0.05152% 50 55 227,535 444,827,840 0.05115% 51 37 444,016 878,589,030 0.05054% 52 36 353,787 702,540,850 0.05036% 53 40 397,066 793,284,630 0.05005% 54 59 465,735 938,564,450 0.04962% 55 50 561,446 1,136,103,010 0.04942% 56 43 528,840 1,078,307,820 0.04904% 57 52 373,128 763,117,260 0.04890% 58 53 405,747 837,982,840 0.04842% 59 58 487,164 1,022,878,190 0.04763%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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