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Most popular winning numbers picked in the last 2685 draws

Most  popular ticket in the last 2685 draws: 03 05 07 09 11 12 (56 wins to date totalling £907)
Least popular ticket in the last 2685 draws: 50 51 53 55 56 59 (6 wins to date totalling £165)
Pos  No.     Wins          Sales       Percentage
 1   07   90,092,074   47,319,053,350   0.19039%
 2   09   91,857,653   49,609,437,045   0.18516%
 3   05   83,336,253   45,181,127,565   0.18445%
 4   11   90,124,384   49,988,012,885   0.18029%
 5   03   83,936,261   46,705,222,665   0.17971%
 6   12   82,767,196   46,779,862,495   0.17693%
 7   44   94,072,709   53,254,609,825   0.17665%
 8   27   87,694,016   50,286,833,690   0.17439%
 9   17   84,132,202   48,279,379,385   0.17426%
10   23   91,781,851   52,749,738,305   0.17399%
11   06   80,977,837   46,557,890,925   0.17393%
12   13   68,841,308   39,739,191,280   0.17323%
13   04   80,253,794   46,435,211,965   0.17283%
14   19   78,318,143   45,346,572,475   0.17271%
15   10   80,863,134   47,220,897,820   0.17124%
16   18   82,304,237   48,123,608,195   0.17103%
17   02   80,073,810   46,890,149,495   0.17077%
18   28   82,530,725   48,383,959,600   0.17057%
19   08   77,950,601   45,848,284,130   0.17002%
20   24   79,431,824   46,753,952,510   0.16989%
21   14   79,700,824   47,127,109,655   0.16912%
22   29   77,727,885   46,240,273,200   0.16810%
23   22   76,636,887   45,722,059,230   0.16761%
24   15   75,944,346   45,328,124,770   0.16754%
25   25   87,080,059   51,993,688,765   0.16748%
26   21   68,936,067   41,396,803,150   0.16653%
27   33   81,456,951   49,399,942,380   0.16489%
28   30   84,392,646   51,300,229,735   0.16451%
29   16   70,251,668   43,047,375,995   0.16320%
30   42   79,103,868   48,785,438,440   0.16215%
31   48   78,921,194   48,951,714,325   0.16122%
32   31   83,205,388   51,627,997,815   0.16116%
33   01   74,415,778   46,230,516,165   0.16097%
34   38   83,723,713   52,064,011,105   0.16081%
35   32   78,490,380   48,835,170,520   0.16073%
36   43   82,008,637   51,043,423,805   0.16066%
37   26   75,654,988   47,566,012,245   0.15905%
38   45   73,924,835   47,545,185,095   0.15548%
39   20   62,189,353   40,131,264,385   0.15496%
40   47   79,107,702   51,058,481,520   0.15494%
41   37   68,224,512   44,143,320,830   0.15455%
42   40   82,859,558   53,937,443,865   0.15362%
43   39   73,551,465   48,004,704,595   0.15322%
44   34   71,656,152   47,250,822,545   0.15165%
45   36   69,146,880   45,852,947,140   0.15080%
46   49   72,273,383   48,044,907,535   0.15043%
47   35   73,497,690   49,087,877,440   0.14973%
48   41   63,594,954   43,466,894,580   0.14631%
49   46   67,396,791   46,469,002,445   0.14504%
50   52    3,940,136    8,407,456,430   0.04686%
51   54    3,446,745    7,453,312,080   0.04624%
52   58    3,328,289    7,216,444,240   0.04612%
53   57    2,791,918    6,058,699,270   0.04608%
54   50    2,483,508    5,457,758,540   0.04550%
55   53    2,308,901    5,075,105,630   0.04549%
56   51    2,828,959    6,292,030,240   0.04496%
57   56    2,890,737    6,435,841,360   0.04492%
58   55    3,061,086    6,835,004,820   0.04479%
59   59    2,477,823    5,685,902,090   0.04358%
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 2685 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]

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Auto-generated at 1.01am BST on Thursday 16th September 2021