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Most popular winning numbers picked in the last 1911 draws

Most  popular ticket in the last 1911 draws: 03 05 07 09 11 17 (45 wins to date totalling £546)
Least popular ticket in the last 1911 draws: 34 35 41 45 46 49 (31 wins to date totalling £4,424)
Pos  No.     Wins          Sales       Percentage
 1   07   82,943,366   38,567,880,750   0.21506%
 2   05   76,675,874   37,124,524,825   0.20654%
 3   09   85,649,258   41,777,732,585   0.20501%
 4   11   83,942,985   41,509,407,265   0.20223%
 5   03   77,916,211   38,617,989,935   0.20176%
 6   17   77,500,181   39,205,508,765   0.19768%
 7   27   81,496,769   41,290,435,630   0.19737%
 8   08   70,735,937   35,962,062,370   0.19670%
 9   12   77,836,913   39,582,326,775   0.19665%
10   19   71,917,744   36,609,837,145   0.19644%
11   13   64,562,266   32,875,536,860   0.19638%
12   23   84,866,058   43,314,440,515   0.19593%
13   18   76,108,208   39,005,822,555   0.19512%
14   44   88,819,515   45,620,814,085   0.19469%
15   06   75,652,977   39,008,281,625   0.19394%
16   04   74,208,882   38,363,008,505   0.19344%
17   10   74,738,371   38,639,642,240   0.19342%
18   02   74,755,579   39,027,522,335   0.19155%
19   28   76,219,671   39,802,232,500   0.19150%
20   29   71,878,975   37,557,111,970   0.19139%
21   14   74,266,438   38,904,199,185   0.19090%
22   22   70,509,170   36,952,387,140   0.19081%
23   24   74,405,013   39,643,823,720   0.18768%
24   15   70,804,385   37,734,202,190   0.18764%
25   42   72,663,680   39,018,801,970   0.18623%
26   21   63,907,604   34,381,178,720   0.18588%
27   33   75,777,501   41,064,284,970   0.18453%
28   25   82,504,528   44,747,687,595   0.18438%
29   16   65,378,237   35,501,074,375   0.18416%
30   30   78,579,197   42,712,817,395   0.18397%
31   01   68,486,626   37,757,265,845   0.18139%
32   32   73,612,675   40,624,856,390   0.18120%
33   38   78,165,688   43,331,467,145   0.18039%
34   43   76,797,624   42,836,119,565   0.17928%
35   31   77,717,124   43,401,585,755   0.17907%
36   26   70,751,423   39,589,149,835   0.17871%
37   48   74,318,443   41,822,026,655   0.17770%
38   20   56,992,582   32,125,571,815   0.17741%
39   47   73,133,747   41,450,958,120   0.17643%
40   37   63,245,712   36,037,390,890   0.17550%
41   36   63,513,210   36,344,141,630   0.17476%
42   40   76,815,073   44,005,996,105   0.17456%
43   39   68,890,482   39,663,877,695   0.17369%
44   45   69,547,389   40,087,316,195   0.17349%
45   34   66,398,112   38,395,611,835   0.17293%
46   49   66,606,370   39,079,324,575   0.17044%
47   35   67,640,927   39,928,582,230   0.16940%
48   41   58,428,994   34,670,984,350   0.16852%
49   46   62,056,796   37,205,712,555   0.16679%
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 1911 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 Friday 18th April 2014