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Pos No. Wins Sales Percentage 1 07 76,395,553 35,305,371,555 0.21639% 2 05 70,422,438 33,639,026,370 0.20935% 3 09 80,233,991 38,685,341,025 0.20740% 4 11 79,291,008 38,908,781,765 0.20379% 5 03 71,380,588 35,140,989,715 0.20313% 6 19 66,284,105 32,832,504,570 0.20189% 7 12 70,590,931 35,198,539,390 0.20055% 8 27 74,926,569 37,399,660,405 0.20034% 9 17 72,385,639 36,155,491,550 0.20021% 10 08 65,485,987 32,941,778,545 0.19879% 11 13 59,477,836 29,983,905,545 0.19837% 12 23 78,440,441 39,643,420,465 0.19786% 13 18 71,078,211 35,962,157,950 0.19765% 14 10 68,915,231 35,013,437,590 0.19683% 15 44 82,114,167 41,804,166,210 0.19643% 16 04 69,451,410 35,377,814,335 0.19631% 17 06 70,785,512 36,274,074,445 0.19514% 18 29 66,940,999 34,360,799,525 0.19482% 19 14 67,562,812 34,853,750,280 0.19385% 20 28 71,672,717 36,997,012,275 0.19373% 21 22 65,142,932 33,632,350,010 0.19369% 22 02 71,144,958 37,081,299,760 0.19186% 23 15 65,449,393 34,413,048,410 0.19019% 24 24 67,505,720 35,615,201,545 0.18954% 25 21 57,964,039 30,615,065,020 0.18933% 26 42 68,014,257 36,321,585,480 0.18726% 27 25 75,861,432 40,545,009,070 0.18710% 28 33 70,862,506 37,966,803,380 0.18664% 29 16 60,073,159 32,224,424,035 0.18642% 30 30 72,585,489 39,056,876,340 0.18585% 31 32 70,990,255 38,908,081,780 0.18246% 32 38 74,793,415 41,130,878,920 0.18184% 33 01 63,449,079 34,971,377,060 0.18143% 34 31 72,003,372 39,787,287,650 0.18097% 35 20 51,305,344 28,385,809,810 0.18074% 36 26 65,432,330 36,320,691,435 0.18015% 37 43 73,085,508 40,596,450,485 0.18003% 38 48 68,772,814 38,210,480,515 0.17998% 39 47 69,270,282 38,782,117,665 0.17861% 40 36 59,156,547 33,300,723,580 0.17764% 41 37 58,182,656 32,911,597,925 0.17678% 42 40 70,476,285 39,943,214,130 0.17644% 43 39 63,326,137 36,055,303,265 0.17564% 44 45 63,680,930 36,260,834,250 0.17562% 45 34 62,443,833 35,772,766,980 0.17456% 46 49 61,032,693 35,409,020,595 0.17236% 47 35 63,462,435 36,820,742,155 0.17236% 48 41 52,713,827 30,670,577,395 0.17187% 49 46 57,623,794 34,212,116,325 0.16843%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 1681 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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