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Pos No. Wins Sales Percentage 1 05 846,117 1,189,368,770 0.07114% 2 12 685,053 994,147,220 0.06891% 3 08 803,780 1,175,375,940 0.06838% 4 09 748,982 1,105,189,540 0.06777% 5 27 424,580 654,801,840 0.06484% 6 24 301,727 482,412,370 0.06255% 7 10 490,974 789,953,360 0.06215% 8 25 848,847 1,367,052,290 0.06209% 9 20 628,064 1,021,833,720 0.06146% 10 04 662,237 1,080,994,850 0.06126% 11 17 782,330 1,279,144,090 0.06116% 12 01 742,228 1,231,608,360 0.06026% 13 13 441,965 737,395,490 0.05994% 14 15 756,631 1,269,820,490 0.05959% 15 31 849,245 1,430,145,870 0.05938% 16 11 687,513 1,158,406,270 0.05935% 17 37 357,552 603,747,720 0.05922% 18 28 208,066 352,032,610 0.05910% 19 06 500,115 854,209,400 0.05855% 20 38 673,185 1,155,165,880 0.05828% 21 07 456,612 784,033,620 0.05824% 22 26 730,277 1,254,601,850 0.05821% 23 19 474,896 817,365,120 0.05810% 24 45 831,570 1,440,950,300 0.05771% 25 23 341,329 597,811,240 0.05710% 26 30 382,014 675,573,740 0.05655% 27 02 324,379 575,057,290 0.05641% 28 16 290,797 516,562,090 0.05629% 29 03 740,801 1,336,192,700 0.05544% 30 39 430,989 777,410,000 0.05544% 31 43 646,652 1,171,439,910 0.05520% 32 33 386,923 701,155,120 0.05518% 33 18 601,112 1,093,536,870 0.05497% 34 14 273,033 496,837,420 0.05495% 35 44 406,435 740,613,520 0.05488% 36 49 367,901 670,406,570 0.05488% 37 42 707,487 1,290,611,590 0.05482% 38 47 521,629 977,899,780 0.05334% 39 32 633,716 1,192,348,050 0.05315% 40 35 442,497 850,139,840 0.05205% 41 46 696,256 1,343,679,190 0.05182% 42 34 468,164 911,371,710 0.05137% 43 21 253,538 493,780,040 0.05135% 44 57 214,739 424,562,480 0.05058% 45 36 562,953 1,113,440,240 0.05056% 46 22 539,429 1,073,748,540 0.05024% 47 29 326,921 658,459,960 0.04965% 48 41 540,349 1,112,631,610 0.04856% 49 55 620,665 1,298,368,440 0.04780% 50 40 651,112 1,363,021,410 0.04777% 51 48 532,855 1,121,239,060 0.04752% 52 59 449,288 984,629,930 0.04563% 53 56 487,456 1,082,666,280 0.04502% 54 51 463,479 1,043,632,860 0.04441% 55 53 346,894 786,443,870 0.04411% 56 52 499,211 1,142,246,950 0.04370% 57 54 394,767 948,364,260 0.04163% 58 58 429,614 1,038,393,470 0.04137% 59 50 171,135 421,430,840 0.04061%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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