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Most popular winning numbers picked in the last 2123 draws

Most  popular ticket in the last 2123 draws: 03 05 07 09 11 27 (47 wins to date totalling £591)
Least popular ticket in the last 2123 draws: 50 51 55 56 57 59 (1 wins to date totalling £25)
Pos  No.     Wins          Sales       Percentage
 1   07   86,913,719   42,285,047,960   0.20554%
 2   09   88,490,979   44,535,925,095   0.19870%
 3   05   80,176,702   40,429,674,925   0.19831%
 4   03   80,509,768   41,157,968,145   0.19561%
 5   11   86,693,806   44,521,965,325   0.19472%
 6   27   84,036,517   44,267,474,980   0.18984%
 7   44   91,319,982   48,356,335,285   0.18885%
 8   12   80,033,256   42,400,721,665   0.18875%
 9   06   77,901,065   41,280,491,805   0.18871%
10   19   74,807,319   39,662,907,675   0.18861%
11   17   80,831,057   42,858,957,245   0.18860%
12   13   66,423,582   35,263,317,210   0.18836%
13   04   77,003,803   41,039,479,745   0.18763%
14   08   73,777,130   39,357,308,290   0.18745%
15   23   88,451,634   47,224,845,735   0.18730%
16   10   77,591,885   41,655,214,220   0.18627%
17   18   79,209,298   42,542,252,295   0.18619%
18   02   77,222,809   42,036,403,145   0.18370%
19   28   79,461,094   43,305,614,120   0.18349%
20   29   74,553,518   40,806,111,280   0.18270%
21   14   76,831,511   42,213,187,795   0.18201%
22   24   76,770,171   42,268,480,250   0.18163%
23   22   74,084,899   40,956,836,750   0.18089%
24   16   66,692,483   37,063,438,825   0.17994%
25   15   73,575,939   41,024,922,840   0.17934%
26   25   84,402,335   47,239,514,605   0.17867%
27   21   66,234,405   37,092,437,110   0.17857%
28   42   75,918,195   42,789,707,910   0.17742%
29   33   78,789,671   44,457,842,630   0.17722%
30   32   75,148,053   42,523,498,880   0.17672%
31   30   81,806,825   46,396,304,675   0.17632%
32   38   80,381,803   46,053,271,045   0.17454%
33   01   71,248,015   40,837,414,605   0.17447%
34   26   72,582,101   42,058,991,155   0.17257%
35   43   79,186,376   45,971,257,775   0.17225%
36   31   80,362,465   46,839,795,955   0.17157%
37   48   76,867,874   44,812,906,115   0.17153%
38   45   70,516,138   41,277,323,175   0.17084%
39   20   59,275,318   34,782,802,475   0.17042%
40   36   65,320,234   38,636,465,680   0.16906%
41   37   65,212,520   38,662,558,910   0.16867%
42   47   76,067,303   45,238,713,250   0.16815%
43   39   70,713,525   42,263,747,685   0.16731%
44   40   79,863,686   48,080,852,475   0.16610%
45   34   68,616,249   41,444,085,595   0.16556%
46   49   69,288,127   42,220,920,335   0.16411%
47   35   70,564,257   43,437,510,620   0.16245%
48   41   60,973,881   38,153,500,720   0.15981%
49   46   64,449,557   40,601,859,085   0.15874%
50   52      672,481    1,364,622,320   0.04928%
51   58      476,255    1,054,101,030   0.04518%
52   53      364,317      843,397,580   0.04320%
53   54      448,223    1,038,982,560   0.04314%
54   56      348,304      816,970,180   0.04263%
55   50      443,824    1,066,516,680   0.04161%
56   51      421,850    1,025,358,540   0.04114%
57   59      420,509    1,041,312,680   0.04038%
58   55      375,057      933,256,310   0.04019%
59   57      596,222    1,488,340,270   0.04006%
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 2123 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 1.02am BST on Friday 29th April 2016