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Most popular winning numbers picked in the last 2768 draws

Most  popular ticket in the last 2768 draws: 03 05 07 09 11 12 (56 wins to date totalling £907)
Least popular ticket in the last 2768 draws: 50 51 55 56 57 59 (10 wins to date totalling £400)
Pos  No.     Wins          Sales       Percentage
 1   07   90,486,483   47,933,953,810   0.18877%
 2   09   92,170,661   50,146,188,015   0.18380%
 3   05   83,680,509   45,835,751,305   0.18257%
 4   11   90,414,259   50,465,955,475   0.17916%
 5   03   84,393,690   47,473,500,185   0.17777%
 6   12   83,114,761   47,489,520,675   0.17502%
 7   44   94,495,417   54,020,385,425   0.17493%
 8   17   84,574,033   49,008,332,495   0.17257%
 9   23   92,190,321   53,424,079,125   0.17256%
10   27   88,147,435   51,172,563,470   0.17226%
11   06   81,421,906   47,348,089,785   0.17196%
12   19   78,547,270   45,750,072,475   0.17169%
13   04   80,721,721   47,163,976,985   0.17115%
14   02   80,168,656   47,021,166,855   0.17049%
15   13   69,525,348   40,918,533,670   0.16991%
16   18   82,604,521   48,689,250,835   0.16966%
17   10   81,259,888   47,911,424,730   0.16960%
18   28   82,940,951   49,080,881,970   0.16899%
19   08   78,345,126   46,590,290,210   0.16816%
20   14   80,172,272   48,008,120,415   0.16700%
21   24   80,176,729   48,157,006,800   0.16649%
22   22   76,849,462   46,159,299,270   0.16649%
23   29   78,128,197   46,958,112,570   0.16638%
24   25   87,409,776   52,691,531,515   0.16589%
25   15   76,564,353   46,373,865,160   0.16510%
26   21   69,726,746   42,818,463,020   0.16284%
27   30   84,918,679   52,189,266,855   0.16271%
28   33   82,071,289   50,572,762,560   0.16228%
29   16   70,621,040   43,711,681,755   0.16156%
30   42   79,487,484   49,429,995,180   0.16081%
31   01   74,672,475   46,646,791,235   0.16008%
32   38   83,966,366   52,519,122,595   0.15988%
33   48   79,368,733   49,855,653,965   0.15920%
34   31   83,704,352   52,608,175,745   0.15911%
35   43   82,370,857   51,773,896,685   0.15910%
36   32   78,826,427   49,559,043,140   0.15906%
37   26   76,024,244   48,234,063,875   0.15762%
38   45   74,256,792   48,156,426,665   0.15420%
39   47   79,518,167   51,869,298,270   0.15330%
40   20   62,494,057   40,848,558,525   0.15299%
41   40   83,064,609   54,375,884,915   0.15276%
42   37   68,905,144   45,492,731,260   0.15146%
43   39   74,186,151   49,109,021,815   0.15106%
44   49   72,445,631   48,370,335,165   0.14977%
45   34   72,023,543   48,101,447,845   0.14973%
46   36   69,457,752   46,563,834,470   0.14917%
47   35   73,795,619   49,733,101,900   0.14838%
48   41   63,985,278   44,205,459,280   0.14475%
49   46   67,854,670   47,355,040,135   0.14329%
50   52    4,653,421    9,850,009,070   0.04724%
51   58    3,673,896    7,901,961,140   0.04649%
52   54    3,554,188    7,686,649,060   0.04624%
53   53    2,711,835    5,934,527,070   0.04570%
54   57    3,238,496    7,089,034,310   0.04568%
55   50    2,842,302    6,293,126,670   0.04517%
56   51    3,404,314    7,558,754,040   0.04504%
57   56    3,395,874    7,547,617,670   0.04499%
58   55    3,181,013    7,092,681,930   0.04485%
59   59    3,068,016    6,853,017,760   0.04477%
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 2768 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 Wednesday 6th July 2022