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Most popular winning numbers picked in the last 2011 draws

Most  popular ticket in the last 2011 draws: 03 05 07 09 11 27 (45 wins to date totalling £541)
Least popular ticket in the last 2011 draws: 34 35 36 41 46 49 (34 wins to date totalling £924)
Pos  No.     Wins          Sales       Percentage
 1   07   85,209,773   40,581,734,410   0.20997%
 2   05   79,192,580   39,251,710,735   0.20176%
 3   09   87,649,273   43,581,505,065   0.20112%
 4   11   85,306,703   42,847,590,455   0.19909%
 5   03   80,077,247   40,478,297,695   0.19783%
 6   27   82,544,939   42,233,510,280   0.19545%
 7   12   78,740,187   40,489,169,075   0.19447%
 8   08   72,119,215   37,250,412,130   0.19361%
 9   13   65,734,294   34,096,529,910   0.19279%
10   17   79,710,239   41,357,992,605   0.19273%
11   44   90,308,677   47,148,025,575   0.19154%
12   06   76,886,698   40,200,522,955   0.19126%
13   23   87,231,278   45,623,030,675   0.19120%
14   19   74,092,202   38,853,490,875   0.19070%
15   04   75,702,548   39,717,618,535   0.19060%
16   10   76,445,217   40,214,109,360   0.19010%
17   18   78,045,408   41,067,216,085   0.19004%
18   02   75,944,214   40,136,019,425   0.18922%
19   14   75,094,928   39,864,056,915   0.18838%
20   28   77,731,623   41,357,900,220   0.18795%
21   29   73,637,004   39,477,626,160   0.18653%
22   22   72,746,732   39,240,608,350   0.18539%
23   15   72,379,792   39,355,976,210   0.18391%
24   21   64,776,067   35,226,091,800   0.18389%
25   24   76,086,221   41,376,833,430   0.18389%
26   25   83,231,914   45,530,699,285   0.18280%
27   42   74,500,540   40,983,636,870   0.18178%
28   16   66,431,393   36,574,228,035   0.18163%
29   33   77,359,336   42,836,690,590   0.18059%
30   30   80,487,721   44,749,681,405   0.17986%
31   32   74,307,725   41,419,521,480   0.17940%
32   01   69,964,813   39,272,551,545   0.17815%
33   38   79,354,646   44,651,640,635   0.17772%
34   31   78,631,488   44,425,601,085   0.17700%
35   26   71,849,750   40,753,775,135   0.17630%
36   43   78,323,315   44,583,540,215   0.17568%
37   48   75,904,008   43,491,118,715   0.17453%
38   20   58,406,808   33,625,626,645   0.17370%
39   47   74,658,183   43,078,587,010   0.17331%
40   39   69,432,501   40,247,166,005   0.17252%
41   37   64,534,919   37,485,011,030   0.17216%
42   45   70,094,119   40,812,877,185   0.17175%
43   40   78,344,403   45,794,253,835   0.17108%
44   36   64,896,270   37,999,911,710   0.17078%
45   34   67,894,525   40,104,236,595   0.16930%
46   49   68,079,602   40,723,316,495   0.16718%
47   41   59,349,700   35,761,593,380   0.16596%
48   35   69,560,068   42,031,279,890   0.16550%
49   46   63,266,165   38,613,960,715   0.16384%
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 2011 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 2015
Disclaimer - This is an unofficial UK lottery site
Auto-generated at 2.03am BST on Thursday 2nd April 2015