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Most popular winning numbers picked in the last 2140 draws

Most  popular ticket in the last 2140 draws: 03 05 07 09 11 27 (47 wins to date totalling £591)
Least popular ticket in the last 2140 draws: 50 51 53 55 57 59 (1 wins to date totalling £25)
Pos  No.     Wins          Sales       Percentage
 1   07   87,062,377   42,548,727,800   0.20462%
 2   09   88,571,860   44,666,554,645   0.19830%
 3   05   80,234,913   40,566,910,095   0.19778%
 4   03   80,627,279   41,314,719,755   0.19515%
 5   11   86,727,575   44,596,958,575   0.19447%
 6   27   84,175,237   44,477,088,730   0.18926%
 7   44   91,356,409   48,433,320,925   0.18862%
 8   12   80,114,137   42,498,400,625   0.18851%
 9   06   78,033,732   41,486,906,795   0.18809%
10   19   74,963,004   39,874,257,705   0.18800%
11   13   66,540,657   35,470,269,760   0.18760%
12   17   81,078,551   43,251,566,275   0.18746%
13   08   73,831,340   39,491,246,590   0.18696%
14   04   77,243,495   41,385,113,295   0.18665%
15   23   88,616,009   47,511,131,615   0.18652%
16   18   79,283,614   42,670,595,545   0.18580%
17   10   77,727,943   41,915,697,250   0.18544%
18   02   77,414,513   42,335,128,245   0.18286%
19   28   79,629,682   43,590,090,600   0.18268%
20   29   74,612,964   40,855,081,370   0.18263%
21   14   77,063,257   42,556,018,445   0.18109%
22   24   76,925,368   42,494,502,460   0.18102%
23   22   74,201,974   41,163,789,300   0.18026%
24   16   66,692,483   37,063,438,825   0.17994%
25   15   73,575,939   41,024,922,840   0.17934%
26   25   84,436,103   47,314,507,855   0.17846%
27   21   66,308,452   37,172,006,360   0.17838%
28   42   75,918,195   42,789,707,910   0.17742%
29   33   78,897,741   44,691,302,340   0.17654%
30   32   75,281,352   42,788,378,920   0.17594%
31   30   81,970,726   46,659,231,605   0.17568%
32   01   71,423,738   41,131,401,385   0.17365%
33   38   80,648,970   46,532,469,205   0.17332%
34   26   72,663,950   42,185,535,885   0.17225%
35   43   79,215,260   46,049,122,545   0.17202%
36   31   80,444,313   46,966,340,685   0.17128%
37   48   76,920,292   44,947,156,605   0.17113%
38   45   70,552,565   41,354,308,815   0.17061%
39   20   59,445,239   35,021,278,045   0.16974%
40   37   65,255,984   38,739,741,270   0.16845%
41   36   65,546,932   39,055,010,980   0.16783%
42   47   76,134,965   45,372,210,830   0.16780%
43   39   70,788,029   42,382,837,375   0.16702%
44   40   79,951,664   48,289,784,025   0.16557%
45   34   68,810,115   41,755,134,575   0.16479%
46   49   69,400,506   42,454,441,435   0.16347%
47   35   70,646,105   43,564,055,350   0.16217%
48   41   61,014,616   38,230,547,750   0.15960%
49   46   64,493,021   40,679,041,445   0.15854%
50   52      822,929    1,627,989,970   0.05055%
51   56      480,831    1,082,548,600   0.04442%
52   58      557,557    1,266,216,290   0.04403%
53   54      490,982    1,117,591,860   0.04393%
54   51      502,731    1,155,988,090   0.04349%
55   53      422,528      980,632,750   0.04309%
56   50      443,824    1,066,516,680   0.04161%
57   55      560,448    1,355,854,790   0.04134%
58   57      684,200    1,664,321,230   0.04111%
59   59      420,509    1,041,312,680   0.04038%
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 2140 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 2016
Disclaimer - This is an unofficial UK lottery site
Auto-generated at 1.01am BST on Monday 27th June 2016