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Most popular winning numbers picked in the last 1958 draws

Most  popular ticket in the last 1958 draws: 03 05 07 09 11 27 (44 wins to date totalling £516)
Least popular ticket in the last 1958 draws: 34 35 41 45 46 49 (32 wins to date totalling £4,449)
Pos  No.     Wins          Sales       Percentage
 1   07   83,883,081   39,378,724,270   0.21302%
 2   05   77,742,824   37,998,093,695   0.20460%
 3   09   86,733,486   42,774,392,745   0.20277%
 4   11   84,797,979   42,311,842,255   0.20041%
 5   03   78,960,081   39,494,064,375   0.19993%
 6   27   82,079,915   41,772,448,290   0.19649%
 7   17   78,309,083   39,946,041,165   0.19604%
 8   12   78,418,138   40,172,602,085   0.19520%
 9   08   71,595,213   36,759,593,690   0.19477%
10   13   65,196,110   33,518,847,360   0.19451%
11   19   72,768,296   37,531,540,825   0.19389%
12   23   86,101,971   44,476,934,495   0.19359%
13   06   75,891,426   39,248,364,675   0.19336%
14   44   89,388,785   46,266,201,025   0.19321%
15   18   76,851,050   39,817,551,755   0.19301%
16   04   74,367,559   38,537,251,995   0.19298%
17   10   75,508,833   39,373,789,410   0.19177%
18   02   75,108,371   39,337,196,335   0.19093%
19   28   76,994,421   40,573,859,680   0.18976%
20   14   74,748,842   39,437,165,055   0.18954%
21   29   72,758,485   38,532,627,410   0.18882%
22   22   71,723,353   38,203,314,160   0.18774%
23   24   75,001,341   40,211,887,920   0.18652%
24   15   71,356,979   38,310,051,750   0.18626%
25   21   63,968,483   34,458,387,050   0.18564%
26   42   73,415,498   39,799,650,830   0.18446%
27   25   82,936,487   45,205,997,415   0.18346%
28   33   76,635,207   41,998,708,470   0.18247%
29   16   66,152,895   36,261,816,665   0.18243%
30   30   79,478,503   43,614,365,485   0.18223%
31   32   73,788,156   40,861,441,380   0.18058%
32   01   69,360,815   38,640,313,905   0.17950%
33   38   78,685,108   43,886,737,825   0.17929%
34   31   78,301,557   44,076,900,825   0.17765%
35   26   71,234,548   40,145,096,305   0.17744%
36   43   77,648,801   43,806,948,235   0.17725%
37   48   75,080,721   42,617,090,435   0.17618%
38   47   73,533,641   41,946,892,050   0.17530%
39   20   57,789,053   33,002,795,705   0.17510%
40   37   64,005,280   36,879,455,740   0.17355%
41   39   69,215,030   40,001,896,835   0.17303%
42   40   77,662,593   44,951,410,265   0.17277%
43   36   64,274,149   37,284,100,410   0.17239%
44   45   69,902,769   40,554,130,355   0.17237%
45   34   67,219,511   39,317,305,735   0.17097%
46   49   66,987,066   39,475,371,105   0.16969%
47   41   58,876,835   35,206,053,380   0.16723%
48   35   68,525,885   40,987,730,520   0.16719%
49   46   62,667,108   37,896,108,035   0.16537%
Notes:

How the figures are calculated

This is where I risk boring the pants off all of you with some fancy maths which is actually all smoke and mirrors since no-one except Camelot really knows the exact figures.

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 1958 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...

[Numerical Analysis]

© Richard K. Lloyd & Connect Internet Solutions Limited 2014
Disclaimer - This is an unofficial UK lottery site
Auto-generated at 2.03am BST on Tuesday 30th September 2014