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Pos No. Wins Sales Percentage 1 30 292,677 380,048,520 0.07701% 2 01 458,270 605,299,230 0.07571% 3 10 612,310 820,672,310 0.07461% 4 25 792,062 1,112,173,690 0.07122% 5 35 799,531 1,137,479,070 0.07029% 6 29 978,585 1,394,685,290 0.07017% 7 06 617,266 897,739,690 0.06876% 8 13 839,828 1,243,844,140 0.06752% 9 07 776,317 1,169,250,860 0.06639% 10 03 882,442 1,332,172,060 0.06624% 11 19 920,529 1,393,395,580 0.06606% 12 08 397,732 605,636,360 0.06567% 13 17 722,215 1,104,522,730 0.06539% 14 12 771,128 1,191,875,850 0.06470% 15 24 655,015 1,016,270,390 0.06445% 16 09 754,469 1,177,136,310 0.06409% 17 32 572,400 895,658,420 0.06391% 18 20 623,983 979,025,230 0.06374% 19 11 890,630 1,403,240,200 0.06347% 20 23 386,432 622,600,760 0.06207% 21 28 498,410 806,862,360 0.06177% 22 26 456,327 740,185,040 0.06165% 23 31 565,337 918,011,590 0.06158% 24 14 605,820 1,000,796,320 0.06053% 25 39 702,059 1,172,939,630 0.05985% 26 21 430,656 721,763,030 0.05967% 27 46 170,524 286,199,740 0.05958% 28 44 580,080 984,679,120 0.05891% 29 45 664,580 1,135,670,120 0.05852% 30 41 716,750 1,227,599,490 0.05839% 31 02 710,005 1,217,159,490 0.05833% 32 47 395,024 679,192,550 0.05816% 33 05 311,626 538,354,950 0.05788% 34 15 493,856 857,351,280 0.05760% 35 22 500,108 873,916,510 0.05723% 36 27 496,337 868,516,350 0.05715% 37 16 703,250 1,273,232,340 0.05523% 38 04 470,925 858,941,830 0.05483% 39 48 624,721 1,142,532,790 0.05468% 40 42 451,202 825,496,670 0.05466% 41 33 587,056 1,092,837,700 0.05372% 42 56 374,354 703,109,850 0.05324% 43 49 407,056 772,432,850 0.05270% 44 51 379,640 720,816,150 0.05267% 45 18 474,533 909,608,200 0.05217% 46 37 444,016 878,589,030 0.05054% 47 36 353,787 702,540,850 0.05036% 48 34 485,113 966,529,520 0.05019% 49 54 600,140 1,198,923,950 0.05006% 50 40 397,066 793,284,630 0.05005% 51 59 465,735 938,564,450 0.04962% 52 43 528,840 1,078,307,820 0.04904% 53 52 373,128 763,117,260 0.04890% 54 53 405,747 837,982,840 0.04842% 55 57 312,994 649,846,670 0.04816% 56 38 598,394 1,244,920,480 0.04807% 57 50 489,575 1,022,784,730 0.04787% 58 58 437,924 916,113,430 0.04780% 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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