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Pos No. Wins Sales Percentage 1 07 68,045,835 31,484,118,245 0.21613% 2 05 59,365,471 28,322,444,345 0.20961% 3 09 68,535,555 32,907,487,400 0.20827% 4 11 68,495,317 33,683,990,975 0.20335% 5 19 57,025,344 28,189,589,975 0.20229% 6 03 60,744,651 30,088,211,820 0.20189% 7 17 59,253,030 29,425,499,340 0.20137% 8 12 62,853,867 31,332,787,775 0.20060% 9 27 62,275,828 31,117,378,720 0.20013% 10 18 60,870,050 30,464,316,270 0.19981% 11 08 56,592,594 28,438,184,620 0.19900% 12 13 51,111,749 25,748,560,745 0.19850% 13 10 59,365,238 29,981,748,245 0.19800% 14 44 70,187,242 35,451,473,660 0.19798% 15 23 67,573,278 34,209,514,565 0.19753% 16 04 58,634,954 29,745,825,615 0.19712% 17 29 56,273,686 28,759,312,755 0.19567% 18 06 59,942,861 30,699,951,785 0.19525% 19 14 60,334,318 30,913,725,080 0.19517% 20 28 60,859,783 31,307,250,275 0.19440% 21 22 57,990,243 29,845,649,470 0.19430% 22 02 61,005,678 31,857,351,965 0.19150% 23 24 55,789,842 29,203,518,200 0.19104% 24 15 56,332,172 29,578,708,065 0.19045% 25 21 49,482,748 26,094,223,350 0.18963% 26 33 58,599,368 31,019,803,145 0.18891% 27 42 58,353,428 31,084,602,730 0.18772% 28 25 66,037,784 35,291,499,955 0.18712% 29 30 61,616,640 32,937,656,870 0.18707% 30 16 51,008,601 27,299,760,375 0.18685% 31 32 58,316,920 31,649,891,665 0.18426% 32 38 65,170,948 35,716,363,535 0.18247% 33 43 62,552,233 34,396,252,050 0.18186% 34 01 54,503,380 29,978,871,550 0.18181% 35 48 60,066,103 33,107,823,480 0.18143% 36 20 43,347,821 23,899,483,980 0.18138% 37 26 55,041,665 30,410,448,375 0.18100% 38 31 61,578,373 34,108,030,550 0.18054% 39 47 59,618,537 33,172,583,845 0.17972% 40 37 48,765,565 27,304,957,640 0.17860% 41 36 48,159,438 27,083,216,335 0.17782% 42 40 59,160,949 33,419,494,275 0.17703% 43 34 50,374,592 28,520,686,550 0.17662% 44 45 54,141,771 30,740,203,140 0.17613% 45 39 50,254,728 28,550,839,115 0.17602% 46 35 53,505,389 30,931,252,185 0.17298% 47 49 51,964,409 30,182,001,985 0.17217% 48 41 43,884,612 25,493,245,380 0.17214% 49 46 50,343,605 29,973,012,210 0.16796%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 1326 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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