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Pos No. Wins Sales Percentage 1 07 81,624,274 37,695,550,325 0.21654% 2 05 74,819,870 35,919,103,580 0.20830% 3 09 84,034,980 40,584,832,230 0.20706% 4 11 82,739,699 40,551,254,565 0.20404% 5 03 76,060,590 37,432,951,745 0.20319% 6 12 74,957,417 37,273,819,045 0.20110% 7 19 70,066,352 34,855,833,945 0.20102% 8 17 74,796,725 37,342,992,945 0.20030% 9 27 79,908,045 39,939,113,545 0.20007% 10 08 69,399,235 34,915,374,230 0.19876% 11 23 83,957,420 42,369,492,635 0.19816% 12 13 62,785,832 31,758,087,800 0.19770% 13 18 74,684,633 37,843,733,380 0.19735% 14 44 87,898,092 44,764,668,790 0.19636% 15 10 72,964,223 37,163,063,865 0.19634% 16 04 72,151,683 36,761,973,550 0.19627% 17 06 74,671,539 38,258,748,985 0.19518% 18 28 74,546,635 38,361,228,670 0.19433% 19 29 70,262,008 36,173,989,245 0.19423% 20 22 68,843,863 35,477,919,965 0.19405% 21 14 72,808,544 37,733,346,800 0.19296% 22 02 73,973,721 38,419,635,650 0.19254% 23 15 68,665,406 36,074,638,260 0.19034% 24 24 71,966,808 37,891,334,785 0.18993% 25 21 62,014,286 32,741,681,195 0.18940% 26 42 71,312,935 38,048,104,830 0.18743% 27 25 80,478,023 42,968,489,090 0.18730% 28 16 63,582,619 33,986,940,820 0.18708% 29 33 74,564,521 39,975,424,425 0.18653% 30 30 77,041,150 41,442,253,160 0.18590% 31 32 73,168,322 40,096,352,170 0.18248% 32 01 67,384,383 37,002,050,425 0.18211% 33 38 77,205,664 42,480,090,560 0.18175% 34 31 75,547,184 41,710,918,080 0.18112% 35 20 54,982,169 30,371,096,145 0.18103% 36 26 68,680,107 38,037,639,240 0.18056% 37 43 75,698,374 41,993,149,035 0.18026% 38 48 72,993,252 40,627,056,175 0.17967% 39 47 71,780,968 40,240,588,785 0.17838% 40 37 61,764,279 34,836,709,535 0.17730% 41 36 62,046,469 34,996,904,010 0.17729% 42 40 75,280,149 42,728,759,235 0.17618% 43 45 67,660,757 38,509,174,390 0.17570% 44 39 67,230,648 38,309,384,440 0.17549% 45 34 65,272,004 37,369,115,570 0.17467% 46 49 64,746,054 37,453,505,745 0.17287% 47 35 65,949,081 38,263,443,035 0.17236% 48 41 56,726,599 33,098,785,460 0.17139% 49 46 60,903,275 36,150,157,020 0.16847%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 1825 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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