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Pos No. Wins Sales Percentage 1 08 446,949 597,167,420 0.07484% 2 07 909,304 1,232,186,410 0.07380% 3 29 850,548 1,176,688,050 0.07228% 4 19 871,579 1,238,240,110 0.07039% 5 15 328,043 473,969,970 0.06921% 6 11 946,320 1,370,217,730 0.06906% 7 03 816,678 1,193,357,250 0.06844% 8 24 546,502 806,770,640 0.06774% 9 23 417,061 622,600,760 0.06699% 10 06 860,455 1,286,519,980 0.06688% 11 25 661,648 999,231,050 0.06622% 12 09 761,483 1,153,488,200 0.06602% 13 32 508,277 771,352,450 0.06589% 14 01 696,595 1,070,092,030 0.06510% 15 28 516,142 793,326,610 0.06506% 16 20 467,733 725,763,790 0.06445% 17 02 657,498 1,028,543,560 0.06393% 18 10 671,002 1,054,466,130 0.06363% 19 26 441,458 698,768,990 0.06318% 20 12 730,788 1,164,735,660 0.06274% 21 13 903,712 1,442,980,450 0.06263% 22 17 613,137 981,370,130 0.06248% 23 31 643,352 1,032,183,340 0.06233% 24 35 708,287 1,138,266,100 0.06223% 25 21 353,088 574,389,790 0.06147% 26 14 495,048 809,589,380 0.06115% 27 44 543,900 889,752,660 0.06113% 28 05 344,841 564,834,010 0.06105% 29 30 471,296 775,636,620 0.06076% 30 45 450,668 749,383,600 0.06014% 31 41 727,068 1,218,642,600 0.05966% 32 16 576,772 984,214,200 0.05860% 33 39 626,039 1,095,982,070 0.05712% 34 51 397,795 697,995,820 0.05699% 35 33 769,653 1,350,653,630 0.05698% 36 40 438,694 770,467,160 0.05694% 37 47 444,155 783,557,670 0.05668% 38 42 500,440 886,378,490 0.05646% 39 04 534,798 947,423,130 0.05645% 40 37 506,006 897,400,410 0.05639% 41 46 219,303 388,976,760 0.05638% 42 27 522,217 939,619,160 0.05558% 43 22 495,792 898,939,490 0.05515% 44 36 415,965 763,525,320 0.05448% 45 49 358,204 664,722,120 0.05389% 46 59 523,143 971,865,370 0.05383% 47 18 401,308 748,523,630 0.05361% 48 43 623,412 1,163,668,550 0.05357% 49 48 413,487 774,820,120 0.05337% 50 55 330,743 641,191,070 0.05158% 51 54 584,681 1,172,315,530 0.04987% 52 56 294,680 599,697,600 0.04914% 53 50 387,367 806,181,160 0.04805% 54 34 522,786 1,092,248,880 0.04786% 55 52 447,846 943,282,330 0.04748% 56 58 380,128 805,175,950 0.04721% 57 38 654,608 1,390,986,270 0.04706% 58 53 337,300 718,584,470 0.04694% 59 57 428,465 923,564,750 0.04639%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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