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Pos No. Wins Sales Percentage 1 21 86,972 105,000,000 0.08283% 2 05 967,026 1,331,387,800 0.07263% 3 17 925,094 1,295,466,300 0.07141% 4 09 894,761 1,263,200,090 0.07083% 5 08 891,620 1,271,863,790 0.07010% 6 04 799,267 1,156,022,390 0.06914% 7 12 633,638 933,060,920 0.06791% 8 23 704,182 1,059,630,550 0.06646% 9 02 194,125 309,674,110 0.06269% 10 28 359,427 584,619,360 0.06148% 11 10 431,210 707,790,450 0.06092% 12 29 574,598 945,361,680 0.06078% 13 19 449,861 744,257,760 0.06044% 14 33 351,983 583,594,430 0.06031% 15 24 459,606 768,439,380 0.05981% 16 38 473,112 791,864,960 0.05975% 17 07 566,646 952,568,730 0.05949% 18 37 463,971 789,012,870 0.05880% 19 42 990,412 1,697,983,630 0.05833% 20 15 453,371 778,618,380 0.05823% 21 32 924,218 1,597,296,000 0.05786% 22 49 371,329 654,851,590 0.05670% 23 31 769,643 1,359,383,930 0.05662% 24 14 449,827 795,799,850 0.05653% 25 06 628,122 1,113,423,830 0.05641% 26 13 469,991 834,009,410 0.05635% 27 44 550,539 990,201,170 0.05560% 28 25 334,613 603,158,970 0.05548% 29 26 877,483 1,586,862,180 0.05530% 30 43 856,747 1,554,487,070 0.05511% 31 11 628,766 1,143,937,030 0.05497% 32 18 541,200 994,289,750 0.05443% 33 34 475,826 883,218,590 0.05387% 34 20 278,594 522,689,750 0.05330% 35 36 638,274 1,198,922,070 0.05324% 36 16 446,648 849,134,310 0.05260% 37 27 619,835 1,180,042,190 0.05253% 38 45 874,543 1,675,413,460 0.05220% 39 54 429,054 828,243,160 0.05180% 40 03 353,085 685,222,170 0.05153% 41 48 341,927 668,385,010 0.05116% 42 22 592,118 1,161,696,150 0.05097% 43 30 459,909 925,960,110 0.04967% 44 47 548,284 1,106,464,680 0.04955% 45 01 350,472 711,844,420 0.04923% 46 39 472,486 963,468,170 0.04904% 47 41 504,980 1,030,744,670 0.04899% 48 40 835,121 1,739,773,810 0.04800% 49 35 645,170 1,347,688,000 0.04787% 50 58 453,003 946,425,010 0.04786% 51 56 318,177 667,497,650 0.04767% 52 53 495,795 1,055,412,370 0.04698% 53 46 530,207 1,131,741,950 0.04685% 54 52 573,688 1,228,971,390 0.04668% 55 57 332,296 725,679,880 0.04579% 56 51 372,463 836,559,770 0.04452% 57 55 437,999 990,554,560 0.04422% 58 50 182,663 416,474,310 0.04386% 59 59 266,271 630,821,810 0.04221%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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