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Pos No. Wins Sales Percentage 1 07 68,458,881 31,661,864,520 0.21622% 2 05 60,430,564 28,839,556,440 0.20954% 3 09 68,937,195 33,084,756,130 0.20837% 4 11 69,229,967 34,030,960,025 0.20343% 5 19 57,708,821 28,528,884,200 0.20228% 6 03 61,526,873 30,428,496,815 0.20220% 7 17 59,805,989 29,767,689,565 0.20091% 8 12 64,000,725 31,922,771,215 0.20049% 9 27 64,405,554 32,175,937,870 0.20017% 10 18 61,857,558 30,983,675,200 0.19965% 11 08 56,761,249 28,527,594,480 0.19897% 12 13 51,926,594 26,122,032,390 0.19878% 13 44 71,020,083 35,871,233,140 0.19799% 14 10 60,162,604 30,406,200,325 0.19786% 15 23 68,093,023 34,472,642,835 0.19753% 16 04 59,096,229 29,995,639,775 0.19702% 17 06 60,554,870 30,965,881,755 0.19555% 18 29 57,401,719 29,363,989,650 0.19548% 19 14 60,725,580 31,164,946,230 0.19485% 20 22 58,489,341 30,094,184,095 0.19435% 21 28 61,762,955 31,821,095,845 0.19409% 22 02 61,187,522 31,945,475,275 0.19154% 23 24 57,203,277 29,965,052,890 0.19090% 24 15 57,496,056 30,167,132,025 0.19059% 25 21 50,750,994 26,776,041,645 0.18954% 26 33 59,380,352 31,433,782,115 0.18891% 27 42 58,682,956 31,263,353,755 0.18771% 28 25 66,502,591 35,543,431,140 0.18710% 29 16 51,199,986 27,388,500,645 0.18694% 30 30 62,479,255 33,427,928,385 0.18691% 31 32 58,623,466 31,828,274,555 0.18419% 32 38 66,565,084 36,564,040,415 0.18205% 33 43 63,735,105 35,079,625,915 0.18169% 34 01 55,417,654 30,523,699,140 0.18156% 35 20 44,641,743 24,601,795,345 0.18146% 36 48 60,691,478 33,447,755,140 0.18145% 37 26 55,310,342 30,572,861,165 0.18091% 38 31 62,038,580 34,369,347,825 0.18051% 39 47 60,170,607 33,504,859,590 0.17959% 40 37 49,144,552 27,556,963,565 0.17834% 41 36 48,159,438 27,083,216,335 0.17782% 42 40 60,557,019 34,181,745,460 0.17716% 43 34 51,699,400 29,282,928,060 0.17655% 44 45 54,371,423 30,847,697,195 0.17626% 45 39 50,824,640 28,887,224,510 0.17594% 46 35 54,286,996 31,441,166,360 0.17266% 47 49 52,348,964 30,359,865,270 0.17243% 48 41 44,131,025 25,657,052,715 0.17200% 49 46 50,726,999 30,232,737,295 0.16779%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 1351 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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