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Pos No. Wins Sales Percentage 1 46 213,560 286,199,740 0.07462% 2 10 612,310 820,672,310 0.07461% 3 29 899,656 1,253,663,430 0.07176% 4 17 727,324 1,028,061,240 0.07075% 5 07 809,778 1,169,250,860 0.06926% 6 19 775,384 1,145,560,340 0.06769% 7 39 712,339 1,066,126,250 0.06682% 8 06 666,396 1,002,104,810 0.06650% 9 31 608,372 918,011,590 0.06627% 10 03 882,442 1,332,172,060 0.06624% 11 24 576,086 875,248,530 0.06582% 12 25 767,439 1,178,585,950 0.06512% 13 12 771,128 1,191,875,850 0.06470% 14 05 278,871 431,541,570 0.06462% 15 09 718,514 1,114,636,310 0.06446% 16 11 854,675 1,340,740,200 0.06375% 17 20 623,983 979,025,230 0.06374% 18 01 420,343 663,837,740 0.06332% 19 35 799,531 1,272,479,070 0.06283% 20 08 422,114 672,854,290 0.06273% 21 23 386,432 622,600,760 0.06207% 22 13 839,828 1,378,844,140 0.06091% 23 14 605,820 1,000,796,320 0.06053% 24 26 482,224 800,185,040 0.06026% 25 28 481,323 804,414,100 0.05984% 26 21 430,656 721,763,030 0.05967% 27 02 672,078 1,140,698,000 0.05892% 28 44 580,080 984,679,120 0.05891% 29 27 497,611 859,928,610 0.05787% 30 15 493,856 857,351,280 0.05760% 31 45 677,755 1,177,535,240 0.05756% 32 41 676,431 1,180,786,110 0.05729% 33 22 500,108 873,916,510 0.05723% 34 32 511,822 899,570,680 0.05690% 35 30 292,677 515,048,520 0.05683% 36 47 444,155 783,557,670 0.05668% 37 16 703,250 1,273,232,340 0.05523% 38 57 356,029 649,846,670 0.05479% 39 40 392,601 716,823,140 0.05477% 40 48 624,721 1,142,532,790 0.05468% 41 04 391,996 717,919,970 0.05460% 42 37 477,477 878,589,030 0.05435% 43 52 465,294 867,482,380 0.05364% 44 42 384,986 718,683,290 0.05357% 45 33 573,511 1,083,594,140 0.05293% 46 49 407,056 772,432,850 0.05270% 47 51 367,610 704,354,660 0.05219% 48 18 474,533 909,608,200 0.05217% 49 56 398,736 770,327,780 0.05176% 50 43 483,372 937,285,960 0.05157% 51 54 565,459 1,127,836,210 0.05014% 52 36 366,962 744,405,970 0.04930% 53 34 535,392 1,093,747,450 0.04895% 54 58 413,302 847,525,690 0.04877% 55 59 490,117 1,005,782,380 0.04873% 56 38 598,394 1,244,920,480 0.04807% 57 50 489,334 1,021,414,920 0.04791% 58 53 326,818 696,960,980 0.04689% 59 55 227,535 504,827,840 0.04507%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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