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Pos No. Wins Sales Percentage 1 07 84,315,278 39,771,216,940 0.21200% 2 05 79,021,162 39,102,822,575 0.20209% 3 09 87,177,242 43,189,873,515 0.20185% 4 11 85,237,439 42,770,138,105 0.19929% 5 03 79,552,854 40,002,428,255 0.19887% 6 27 82,314,759 42,000,237,490 0.19599% 7 12 78,671,893 40,400,270,615 0.19473% 8 17 78,975,583 40,636,867,055 0.19434% 9 08 71,956,127 37,090,119,060 0.19400% 10 13 65,649,964 34,002,318,870 0.19307% 11 06 76,370,855 39,730,424,805 0.19222% 12 44 89,964,353 46,838,593,975 0.19207% 13 23 86,819,662 45,202,032,695 0.19207% 14 19 73,652,952 38,465,121,745 0.19148% 15 04 75,211,259 39,335,612,595 0.19120% 16 10 75,917,612 39,723,575,260 0.19111% 17 18 77,794,601 40,819,213,305 0.19058% 18 02 75,792,037 39,983,721,705 0.18956% 19 14 75,026,634 39,775,158,455 0.18863% 20 28 77,731,623 41,357,900,220 0.18795% 21 29 73,321,323 39,136,111,150 0.18735% 22 22 72,502,276 38,991,114,470 0.18595% 23 21 64,041,495 34,536,249,620 0.18543% 24 24 75,634,444 40,917,859,320 0.18484% 25 15 72,060,690 39,019,074,970 0.18468% 26 25 83,171,232 45,450,880,615 0.18299% 27 42 74,351,429 40,824,926,260 0.18212% 28 16 66,271,847 36,414,402,445 0.18199% 29 33 77,050,266 42,526,923,290 0.18118% 30 30 80,335,544 44,597,383,685 0.18014% 31 32 74,307,725 41,419,521,480 0.17940% 32 01 69,651,645 38,969,282,535 0.17873% 33 38 79,143,253 44,420,438,725 0.17817% 34 31 78,631,488 44,425,601,085 0.17700% 35 26 71,697,574 40,601,477,415 0.17659% 36 43 78,165,242 44,427,827,215 0.17594% 37 48 75,512,641 43,107,136,555 0.17517% 38 20 58,005,271 33,191,030,235 0.17476% 39 47 74,358,251 42,845,660,180 0.17355% 40 39 69,272,954 40,087,340,415 0.17281% 41 37 64,363,501 37,336,122,870 0.17239% 42 40 78,025,621 45,419,571,035 0.17179% 43 45 70,094,119 40,812,877,185 0.17175% 44 36 64,746,747 37,849,970,000 0.17106% 45 34 67,833,843 40,024,417,925 0.16948% 46 49 67,778,238 40,417,157,315 0.16770% 47 41 59,137,484 35,513,841,440 0.16652% 48 35 69,303,868 41,779,328,330 0.16588% 49 46 63,015,678 38,328,176,375 0.16441%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 1993 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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