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Most popular winning numbers picked in the last 2131 draws

Most  popular ticket in the last 2131 draws: 03 05 07 09 11 27 (47 wins to date totalling £591)
Least popular ticket in the last 2131 draws: 50 53 55 56 57 59 (0 wins to date totalling £0)
Pos  No.     Wins          Sales       Percentage
 1   07   87,009,958   42,414,477,310   0.20514%
 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   86,693,806   44,521,965,325   0.19472%
 6   27   84,134,501   44,400,041,700   0.18949%
 7   12   80,114,137   42,498,400,625   0.18851%
 8   44   91,356,409   48,466,268,695   0.18849%
 9   17   80,929,041   42,991,523,965   0.18824%
10   19   74,903,558   39,792,337,025   0.18824%
11   13   66,466,341   35,341,926,510   0.18807%
12   06   78,033,732   41,519,854,565   0.18794%
13   08   73,777,130   39,357,308,290   0.18745%
14   04   77,175,834   41,251,615,715   0.18709%
15   23   88,575,274   47,434,084,585   0.18673%
16   10   77,591,885   41,655,214,220   0.18627%
17   18   79,209,298   42,542,252,295   0.18619%
18   02   77,355,067   42,253,207,565   0.18308%
19   28   79,600,797   43,512,225,830   0.18294%
20   29   74,553,518   40,773,160,690   0.18285%
21   14   76,929,495   42,345,754,515   0.18167%
22   24   76,851,052   42,366,159,210   0.18140%
23   22   74,127,658   41,035,446,050   0.18064%
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   66,308,452   37,172,006,360   0.17838%
28   42   75,918,195   42,789,707,910   0.17742%
29   33   78,868,857   44,646,385,340   0.17665%
30   32   75,228,934   42,654,128,430   0.17637%
31   30   81,903,064   46,525,734,025   0.17604%
32   38   80,440,014   46,190,506,215   0.17415%
33   01   71,423,738   41,131,401,385   0.17365%
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   70,552,565   41,387,256,585   0.17047%
39   20   59,385,792   34,972,305,135   0.16981%
40   36   65,418,218   38,769,032,400   0.16874%
41   37   65,255,984   38,739,741,270   0.16845%
42   47   76,067,303   45,238,713,250   0.16815%
43   39   70,713,525   42,230,797,095   0.16745%
44   40   79,863,686   48,080,852,475   0.16610%
45   34   68,757,697   41,620,884,085   0.16520%
46   49   69,330,886   42,299,529,635   0.16390%
47   35   70,564,257   43,437,510,620   0.16245%
48   41   60,973,881   38,153,500,720   0.15981%
49   46   64,493,021   40,679,041,445   0.15854%
50   52      768,720    1,494,051,670   0.05145%
51   58      476,255    1,054,101,030   0.04518%
52   54      490,982    1,117,591,860   0.04393%
53   51      502,731    1,155,988,090   0.04349%
54   53      422,528      980,632,750   0.04309%
55   56      406,515      954,205,350   0.04260%
56   50      443,824    1,066,516,680   0.04161%
57   57      596,222    1,455,389,680   0.04097%
58   59      420,509    1,041,312,680   0.04038%
59   55      411,484    1,043,189,720   0.03944%
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 2131 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 27th May 2016