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Pos No. Wins Sales Percentage 1 07 71,649,862 33,074,911,120 0.21663% 2 05 64,056,271 30,616,501,810 0.20922% 3 09 74,563,890 35,858,660,240 0.20794% 4 11 73,604,074 35,977,784,825 0.20458% 5 03 67,273,574 33,023,873,355 0.20371% 6 19 61,778,551 30,536,946,975 0.20231% 7 17 65,132,890 32,421,109,780 0.20090% 8 27 69,452,537 34,608,216,045 0.20068% 9 12 66,991,565 33,400,630,895 0.20057% 10 08 60,025,325 30,153,088,365 0.19907% 11 13 55,024,746 27,670,239,350 0.19886% 12 18 65,781,571 33,187,365,190 0.19821% 13 23 73,977,970 37,334,940,795 0.19815% 14 04 63,379,572 32,071,376,925 0.19762% 15 10 63,648,025 32,226,687,315 0.19750% 16 44 75,511,892 38,314,756,205 0.19708% 17 29 60,326,958 30,785,180,445 0.19596% 18 06 64,632,024 33,042,879,465 0.19560% 19 14 63,543,134 32,614,091,425 0.19483% 20 22 61,092,384 31,467,080,985 0.19415% 21 28 66,652,077 34,356,200,805 0.19400% 22 02 65,562,154 34,203,018,780 0.19169% 23 15 59,561,390 31,224,647,460 0.19075% 24 24 61,787,305 32,545,099,005 0.18985% 25 21 53,422,853 28,214,579,460 0.18934% 26 33 63,687,209 33,871,253,965 0.18803% 27 42 63,675,191 33,874,754,150 0.18797% 28 16 54,386,318 29,075,160,355 0.18705% 29 25 70,659,488 37,806,922,635 0.18690% 30 30 65,674,661 35,171,113,565 0.18673% 31 32 64,094,615 34,987,641,390 0.18319% 32 01 59,127,607 32,471,809,545 0.18209% 33 38 70,014,637 38,480,453,250 0.18195% 34 20 47,993,862 26,496,177,440 0.18114% 35 48 63,399,682 35,021,434,135 0.18103% 36 31 66,957,750 37,054,858,185 0.18070% 37 26 58,924,109 32,625,177,130 0.18061% 38 43 67,632,951 37,454,731,315 0.18057% 39 47 62,875,839 35,073,357,925 0.17927% 40 36 53,763,645 30,236,167,570 0.17781% 41 37 53,504,492 30,104,354,750 0.17773% 42 40 64,935,949 36,722,164,455 0.17683% 43 34 54,599,260 30,949,132,255 0.17642% 44 45 59,221,865 33,615,077,935 0.17618% 45 39 56,677,572 32,191,142,295 0.17607% 46 35 57,465,919 33,208,078,460 0.17305% 47 49 55,458,271 32,152,760,345 0.17248% 48 41 47,186,511 27,377,525,515 0.17235% 49 46 52,604,201 31,410,997,895 0.16747%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 1485 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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