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Pos No. Wins Sales Percentage 1 05 913,698 1,267,424,770 0.07209% 2 12 687,230 978,704,290 0.07022% 3 09 881,702 1,274,090,540 0.06920% 4 27 353,189 531,020,890 0.06651% 5 08 883,535 1,332,309,410 0.06632% 6 10 686,005 1,035,466,630 0.06625% 7 24 154,473 237,107,620 0.06515% 8 06 592,604 936,480,440 0.06328% 9 28 342,030 542,811,930 0.06301% 10 01 705,073 1,125,509,280 0.06264% 11 31 730,705 1,166,590,670 0.06264% 12 19 711,123 1,139,980,920 0.06238% 13 13 392,069 632,395,490 0.06200% 14 25 741,897 1,197,335,180 0.06196% 15 07 469,505 758,686,120 0.06188% 16 02 470,521 767,563,630 0.06130% 17 11 579,803 950,976,870 0.06097% 18 17 532,160 873,771,670 0.06090% 19 38 683,891 1,124,823,360 0.06080% 20 20 782,747 1,320,580,700 0.05927% 21 26 630,348 1,074,590,920 0.05866% 22 04 520,271 888,494,850 0.05856% 23 15 597,337 1,031,354,530 0.05792% 24 45 751,186 1,298,324,780 0.05786% 25 23 341,329 597,811,240 0.05710% 26 16 256,059 449,327,920 0.05699% 27 29 626,308 1,099,690,100 0.05695% 28 35 484,628 860,518,350 0.05632% 29 18 665,173 1,184,409,700 0.05616% 30 57 227,647 407,203,540 0.05590% 31 03 671,188 1,208,091,600 0.05556% 32 30 448,366 807,151,050 0.05555% 33 39 430,455 777,529,210 0.05536% 34 14 274,842 497,894,620 0.05520% 35 49 413,274 753,795,370 0.05483% 36 42 652,828 1,192,179,160 0.05476% 37 37 430,674 795,266,440 0.05415% 38 46 797,806 1,479,673,910 0.05392% 39 43 506,473 941,238,890 0.05381% 40 44 541,238 1,012,511,450 0.05346% 41 21 292,681 559,726,100 0.05229% 42 34 423,749 810,832,230 0.05226% 43 40 609,232 1,200,333,050 0.05076% 44 47 408,513 816,723,270 0.05002% 45 36 589,574 1,183,538,600 0.04981% 46 33 454,151 912,677,480 0.04976% 47 32 554,578 1,129,941,700 0.04908% 48 41 412,054 841,836,760 0.04895% 49 55 619,986 1,282,216,830 0.04835% 50 48 623,390 1,296,327,920 0.04809% 51 53 348,126 729,515,400 0.04772% 52 22 448,335 944,349,360 0.04748% 53 59 493,644 1,049,819,010 0.04702% 54 51 379,063 847,099,230 0.04475% 55 56 476,132 1,128,288,230 0.04220% 56 58 536,925 1,274,782,010 0.04212% 57 50 205,591 493,119,490 0.04169% 58 52 425,829 1,027,157,980 0.04146% 59 54 337,986 818,075,390 0.04131%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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