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Most popular winning numbers picked in the last 2616 draws

Most  popular ticket in the last 2616 draws: 03 05 07 09 11 12 (55 wins to date totalling £877)
Least popular ticket in the last 2616 draws: 50 51 55 56 57 59 (6 wins to date totalling £280)
Pos  No.     Wins          Sales       Percentage
 1   07   89,666,087   46,682,071,020   0.19208%
 2   09   91,363,347   48,869,338,025   0.18695%
 3   05   83,010,976   44,783,791,605   0.18536%
 4   03   83,280,041   45,557,307,235   0.18280%
 5   11   89,854,309   49,626,512,485   0.18106%
 6   12   82,290,116   45,875,164,735   0.17938%
 7   44   93,808,682   52,843,716,265   0.17752%
 8   27   87,030,099   49,188,600,280   0.17693%
 9   06   80,372,086   45,584,642,055   0.17631%
10   17   83,546,391   47,394,097,315   0.17628%
11   23   91,460,454   52,218,857,005   0.17515%
12   04   79,838,997   45,681,836,425   0.17477%
13   13   68,565,569   39,238,275,900   0.17474%
14   19   77,998,987   44,796,712,155   0.17412%
15   18   81,785,401   47,199,832,405   0.17327%
16   10   80,539,232   46,623,131,840   0.17275%
17   28   82,044,065   47,530,861,390   0.17261%
18   02   79,713,154   46,268,262,475   0.17228%
19   24   79,043,599   46,067,493,840   0.17158%
20   08   77,522,026   45,182,590,320   0.17157%
21   14   79,458,328   46,661,988,665   0.17028%
22   15   75,542,496   44,403,682,180   0.17013%
23   29   77,285,520   45,590,599,860   0.16952%
24   22   76,360,853   45,242,533,580   0.16878%
25   25   86,799,776   51,551,634,325   0.16837%
26   21   68,566,142   40,868,571,020   0.16777%
27   33   81,026,199   48,583,601,060   0.16678%
28   16   69,655,161   41,977,400,055   0.16593%
29   30   84,210,329   50,950,504,095   0.16528%
30   01   73,815,113   45,180,179,395   0.16338%
31   42   78,898,765   48,365,349,170   0.16313%
32   48   78,584,464   48,184,370,715   0.16309%
33   32   78,046,059   48,035,777,410   0.16247%
34   38   83,438,134   51,406,608,445   0.16231%
35   31   82,918,419   51,148,274,125   0.16211%
36   43   81,709,486   50,519,283,205   0.16174%
37   26   75,227,097   46,955,804,995   0.16021%
38   45   73,617,848   46,871,631,775   0.15706%
39   20   61,839,056   39,558,379,355   0.15632%
40   37   67,859,537   43,554,229,770   0.15580%
41   39   72,930,628   46,859,756,595   0.15564%
42   47   78,881,579   50,702,418,850   0.15558%
43   40   82,418,806   53,136,830,285   0.15511%
44   36   68,385,610   44,447,462,670   0.15386%
45   34   71,037,278   46,179,051,555   0.15383%
46   49   71,807,216   47,184,279,965   0.15218%
47   35   73,298,029   48,692,961,040   0.15053%
48   41   63,214,583   42,736,592,630   0.14792%
49   46   66,925,628   45,630,830,685   0.14667%
50   53    2,144,397    4,595,522,790   0.04666%
51   52    3,449,390    7,485,898,220   0.04608%
52   58    3,141,251    6,838,712,930   0.04593%
53   54    3,233,081    7,063,034,200   0.04577%
54   50    2,173,438    4,774,142,300   0.04553%
55   57    2,257,330    5,026,840,890   0.04491%
56   51    2,542,650    5,664,362,060   0.04489%
57   55    2,922,646    6,524,844,100   0.04479%
58   56    2,556,869    5,811,093,100   0.04400%
59   59    2,355,725    5,414,071,040   0.04351%
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 2616 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 GMT on Monday 18th January 2021