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Most popular winning numbers picked in the last 1940 draws

Most  popular ticket in the last 1940 draws: 03 05 07 09 11 27 (43 wins to date totalling £491)
Least popular ticket in the last 1940 draws: 34 35 39 41 46 49 (42 wins to date totalling £960)
Pos  No.     Wins          Sales       Percentage
 1   07   83,529,391   39,051,959,890   0.21389%
 2   05   77,452,654   37,767,162,075   0.20508%
 3   09   86,501,948   42,567,665,285   0.20321%
 4   11   84,287,962   41,832,423,325   0.20149%
 5   03   78,640,762   39,186,224,655   0.20068%
 6   27   82,011,961   41,696,278,510   0.19669%
 7   17   78,181,909   39,792,336,135   0.19647%
 8   12   78,090,175   39,831,283,015   0.19605%
 9   13   64,976,929   33,274,317,720   0.19528%
10   19   72,346,535   37,081,941,745   0.19510%
11   08   71,525,449   36,680,884,440   0.19499%
12   23   85,783,231   44,174,108,885   0.19419%
13   06   75,652,977   39,008,281,625   0.19394%
14   18   76,761,562   39,722,371,705   0.19325%
15   44   89,388,785   46,266,201,025   0.19321%
16   04   74,297,794   38,458,542,745   0.19319%
17   10   75,508,833   39,373,789,410   0.19177%
18   02   74,854,238   39,107,290,345   0.19141%
19   29   72,269,852   37,964,870,900   0.19036%
20   28   76,864,728   40,424,510,090   0.19014%
21   14   74,748,842   39,437,165,055   0.18954%
22   22   71,117,911   37,589,973,620   0.18919%
23   24   74,721,972   39,952,273,450   0.18703%
24   15   71,096,971   38,044,902,460   0.18688%
25   21   63,907,604   34,381,178,720   0.18588%
26   42   72,882,680   39,257,126,560   0.18565%
27   25   82,803,501   45,057,436,745   0.18377%
28   33   76,220,226   41,541,452,910   0.18348%
29   16   65,959,570   36,009,886,225   0.18317%
30   30   79,059,518   43,198,316,885   0.18302%
31   32   73,669,370   40,703,942,700   0.18099%
32   01   68,749,157   38,004,090,045   0.18090%
33   38   78,447,987   43,640,543,245   0.17976%
34   43   77,455,477   43,555,017,795   0.17783%
35   31   78,212,069   43,981,720,775   0.17783%
36   26   71,083,197   39,992,318,995   0.17774%
37   48   74,740,820   42,228,105,195   0.17699%
38   20   57,356,645   32,605,311,605   0.17591%
39   47   73,342,705   41,702,835,920   0.17587%
40   37   63,690,507   36,496,110,770   0.17451%
41   40   77,439,971   44,637,161,195   0.17349%
42   36   63,971,031   36,902,292,650   0.17335%
43   45   69,669,239   40,248,030,375   0.17310%
44   39   69,215,030   40,001,896,835   0.17303%
45   34   67,041,112   39,111,714,735   0.17141%
46   49   66,920,772   39,398,874,405   0.16985%
47   35   68,012,061   40,408,304,310   0.16831%
48   41   58,599,034   34,909,146,830   0.16786%
49   46   62,184,468   37,369,300,625   0.16641%
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 1940 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 12.00am BST on Thursday 31st July 2014