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Most popular winning numbers picked in the last 2643 draws

Most  popular ticket in the last 2643 draws: 03 05 07 09 11 12 (56 wins to date totalling £907)
Least popular ticket in the last 2643 draws: 50 51 53 55 56 59 (6 wins to date totalling £165)
Pos  No.     Wins          Sales       Percentage
 1   07   89,852,995   46,928,057,390   0.19147%
 2   09   91,582,521   49,143,669,025   0.18636%
 3   05   83,302,158   45,117,627,565   0.18463%
 4   03   83,612,113   46,132,308,715   0.18124%
 5   11   89,972,954   49,745,757,935   0.18087%
 6   12   82,404,600   46,188,152,835   0.17841%
 7   44   93,981,412   53,080,009,265   0.17706%
 8   27   87,123,732   49,367,021,270   0.17648%
 9   17   83,894,504   47,854,173,765   0.17531%
10   06   80,728,833   46,051,746,235   0.17530%
11   23   91,632,347   52,479,415,125   0.17461%
12   13   68,666,191   39,389,940,410   0.17432%
13   19   77,998,987   44,796,712,155   0.17412%
14   04   80,116,705   46,098,383,565   0.17380%
15   10   80,539,232   46,623,131,840   0.17275%
16   18   82,122,832   47,738,600,945   0.17203%
17   02   79,892,789   46,559,722,275   0.17159%
18   28   82,282,105   47,970,953,110   0.17152%
19   24   79,180,264   46,313,036,380   0.17097%
20   14   79,503,459   46,661,988,665   0.17038%
21   08   77,921,186   45,774,640,260   0.17023%
22   15   75,695,089   44,810,746,990   0.16892%
23   29   77,520,629   45,909,693,110   0.16885%
24   22   76,493,372   45,441,226,030   0.16833%
25   25   86,970,400   51,848,688,765   0.16774%
26   21   68,792,304   41,146,803,150   0.16719%
27   33   81,127,723   48,758,448,860   0.16639%
28   30   84,241,415   51,026,506,295   0.16509%
29   16   69,981,377   42,590,972,725   0.16431%
30   42   79,059,019   48,679,244,520   0.16241%
31   01   74,057,586   45,602,775,505   0.16240%
32   48   78,663,724   48,471,214,325   0.16229%
33   32   78,231,882   48,284,732,260   0.16202%
34   38   83,462,383   51,575,108,445   0.16183%
35   31   82,973,486   51,275,910,995   0.16182%
36   43   81,709,486   50,519,283,205   0.16174%
37   26   75,623,457   47,496,411,685   0.15922%
38   45   73,861,098   47,418,185,095   0.15577%
39   20   61,979,881   39,818,435,475   0.15566%
40   37   67,913,622   43,671,277,320   0.15551%
41   47   78,957,649   50,832,418,850   0.15533%
42   39   73,149,184   47,147,969,105   0.15515%
43   40   82,622,690   53,491,790,085   0.15446%
44   34   71,246,836   46,479,375,255   0.15329%
45   36   68,680,751   44,989,142,080   0.15266%
46   49   72,156,597   47,791,670,565   0.15098%
47   35   73,329,116   48,768,963,240   0.15036%
48   41   63,214,583   42,736,592,630   0.14792%
49   46   67,054,532   45,837,509,645   0.14629%
50   52    3,669,390    7,908,313,130   0.04640%
51   58    3,245,992    7,047,944,240   0.04606%
52   57    2,458,330    5,343,645,900   0.04600%
53   54    3,279,856    7,137,118,160   0.04595%
54   53    2,144,397    4,700,522,790   0.04562%
55   50    2,348,649    5,151,638,010   0.04559%
56   51    2,680,080    5,970,668,390   0.04489%
57   55    2,977,713    6,652,480,970   0.04476%
58   56    2,749,702    6,153,697,490   0.04468%
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 2643 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 Friday 23rd April 2021