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Pos No. Wins Sales Percentage 1 35 323,216 441,010,580 0.07329% 2 11 1,034,672 1,435,739,220 0.07207% 3 19 767,324 1,090,881,620 0.07034% 4 10 595,524 856,066,030 0.06957% 5 29 1,109,767 1,650,758,770 0.06723% 6 12 512,882 763,844,740 0.06714% 7 03 818,971 1,236,905,760 0.06621% 8 23 668,262 1,016,042,480 0.06577% 9 31 658,301 1,011,029,210 0.06511% 10 07 813,109 1,254,010,610 0.06484% 11 24 435,935 681,377,790 0.06398% 12 25 780,360 1,225,607,190 0.06367% 13 16 512,457 820,822,120 0.06243% 14 08 489,368 787,171,640 0.06217% 15 20 645,178 1,041,286,260 0.06196% 16 17 638,270 1,032,238,050 0.06183% 17 26 671,747 1,089,469,510 0.06166% 18 06 573,513 934,539,330 0.06137% 19 01 424,680 697,056,280 0.06092% 20 05 472,503 777,374,360 0.06078% 21 28 520,551 878,909,500 0.05923% 22 09 689,869 1,166,995,910 0.05911% 23 45 707,012 1,202,211,850 0.05881% 24 44 617,253 1,053,245,510 0.05860% 25 21 361,865 619,828,300 0.05838% 26 41 744,630 1,276,470,990 0.05834% 27 22 702,569 1,204,497,140 0.05833% 28 13 602,511 1,033,175,390 0.05832% 29 39 440,961 759,803,410 0.05804% 30 04 590,105 1,021,536,110 0.05777% 31 47 496,606 866,826,360 0.05729% 32 32 389,742 680,448,760 0.05728% 33 14 458,618 804,009,380 0.05704% 34 33 612,205 1,086,220,790 0.05636% 35 48 865,989 1,541,277,220 0.05619% 36 02 660,135 1,177,388,950 0.05607% 37 27 594,210 1,063,047,800 0.05590% 38 30 312,059 559,891,630 0.05574% 39 56 470,441 844,916,230 0.05568% 40 46 417,261 750,868,480 0.05557% 41 15 560,323 1,009,399,290 0.05551% 42 50 586,123 1,064,639,370 0.05505% 43 49 672,941 1,222,958,840 0.05503% 44 42 404,207 749,138,660 0.05396% 45 36 307,246 570,040,850 0.05390% 46 40 418,384 788,368,340 0.05307% 47 18 457,010 864,720,210 0.05285% 48 34 643,057 1,229,557,400 0.05230% 49 59 500,497 958,075,990 0.05224% 50 53 606,324 1,172,086,010 0.05173% 51 37 450,757 882,235,860 0.05109% 52 52 318,950 634,599,490 0.05026% 53 43 611,784 1,229,037,840 0.04978% 54 38 516,232 1,044,645,090 0.04942% 55 58 415,284 850,865,680 0.04881% 56 54 393,047 817,389,420 0.04809% 57 55 331,589 693,033,400 0.04785% 58 57 279,335 592,346,670 0.04716% 59 51 285,303 610,816,150 0.04671%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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