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Pos No. Wins Sales Percentage 1 09 542,032 776,302,610 0.06982% 2 17 568,440 817,566,900 0.06953% 3 05 606,033 882,307,960 0.06869% 4 21 695,167 1,022,226,700 0.06801% 5 19 739,339 1,100,691,880 0.06717% 6 07 732,583 1,135,361,890 0.06452% 7 23 997,944 1,569,395,820 0.06359% 8 29 578,757 911,708,790 0.06348% 9 12 401,237 639,846,680 0.06271% 10 04 587,763 943,611,480 0.06229% 11 11 432,623 699,534,730 0.06184% 12 03 505,776 818,512,980 0.06179% 13 02 762,339 1,236,191,750 0.06167% 14 06 396,854 644,693,880 0.06156% 15 37 406,638 678,764,250 0.05991% 16 27 806,426 1,347,124,430 0.05986% 17 08 786,566 1,321,074,220 0.05954% 18 28 670,045 1,125,571,860 0.05953% 19 01 366,921 621,395,760 0.05905% 20 10 525,649 903,377,430 0.05819% 21 14 785,585 1,358,124,770 0.05784% 22 22 329,064 572,279,150 0.05750% 23 33 728,597 1,270,976,670 0.05733% 24 18 516,401 906,350,600 0.05698% 25 36 613,808 1,085,352,960 0.05655% 26 13 458,361 810,541,370 0.05655% 27 43 449,658 797,031,920 0.05642% 28 40 691,931 1,230,268,020 0.05624% 29 47 642,080 1,144,685,940 0.05609% 30 32 693,811 1,239,051,790 0.05600% 31 35 561,590 1,004,541,160 0.05591% 32 31 360,716 653,520,830 0.05520% 33 26 507,076 927,108,830 0.05469% 34 45 664,186 1,214,372,480 0.05469% 35 38 427,274 781,690,340 0.05466% 36 25 564,609 1,034,278,910 0.05459% 37 24 210,692 386,895,200 0.05446% 38 42 716,991 1,320,334,060 0.05430% 39 49 370,152 689,707,460 0.05367% 40 16 595,143 1,116,673,750 0.05330% 41 30 629,633 1,181,824,320 0.05328% 42 15 269,612 509,521,040 0.05291% 43 48 406,089 772,306,600 0.05258% 44 44 564,066 1,098,489,930 0.05135% 45 41 557,521 1,087,281,360 0.05128% 46 58 686,192 1,360,304,130 0.05044% 47 52 624,416 1,273,547,590 0.04903% 48 34 555,614 1,139,372,580 0.04876% 49 20 397,526 835,561,290 0.04758% 50 46 357,928 757,717,530 0.04724% 51 54 342,423 725,704,750 0.04718% 52 53 212,330 451,683,960 0.04701% 53 39 461,915 996,063,190 0.04637% 54 59 438,648 946,882,590 0.04633% 55 50 391,138 862,459,390 0.04535% 56 55 564,553 1,245,256,440 0.04534% 57 56 285,925 647,095,310 0.04419% 58 51 380,085 871,641,940 0.04361% 59 57 466,671 1,111,032,290 0.04200%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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