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Most popular winning numbers picked in the last 2158 draws

Most  popular ticket in the last 2158 draws: 03 05 07 09 11 27 (47 wins to date totalling £591)
Least popular ticket in the last 2158 draws: 50 51 53 55 57 59 (1 wins to date totalling £25)
Pos  No.     Wins          Sales       Percentage
 1   07   87,062,377   42,548,727,800   0.20462%
 2   09   88,730,904   44,868,344,315   0.19776%
 3   05   80,332,931   40,733,688,435   0.19721%
 4   11   86,763,071   44,674,493,895   0.19421%
 5   03   80,883,230   41,651,601,505   0.19419%
 6   27   84,208,820   44,547,229,650   0.18903%
 7   44   91,356,409   48,433,320,925   0.18862%
 8   06   78,033,732   41,486,906,795   0.18809%
 9   12   80,182,874   42,630,441,645   0.18809%
10   13   66,540,657   35,470,269,760   0.18760%
11   19   75,166,336   40,209,625,055   0.18694%
12   17   81,211,538   43,531,970,835   0.18656%
13   08   73,893,876   39,617,162,280   0.18652%
14   04   77,313,029   41,528,581,245   0.18617%
15   23   88,714,028   47,677,909,955   0.18607%
16   18   79,374,216   42,865,530,645   0.18517%
17   10   77,962,919   42,362,067,910   0.18404%
18   02   77,414,513   42,335,128,245   0.18286%
19   28   79,678,707   43,715,408,780   0.18227%
20   29   74,730,914   41,052,831,140   0.18204%
21   24   77,129,910   42,770,433,930   0.18033%
22   14   77,175,518   42,809,564,625   0.18028%
23   16   66,847,307   37,272,089,655   0.17935%
24   22   74,452,663   41,610,199,210   0.17893%
25   15   73,645,473   41,168,390,790   0.17889%
26   25   84,436,103   47,314,507,855   0.17846%
27   21   66,346,222   37,250,043,650   0.17811%
28   42   76,054,308   43,048,515,070   0.17667%
29   33   78,897,741   44,691,302,340   0.17654%
30   32   75,344,588   42,916,606,920   0.17556%
31   30   82,072,317   46,927,831,455   0.17489%
32   01   71,587,652   41,410,533,515   0.17287%
33   38   80,803,148   46,822,359,355   0.17257%
34   43   79,404,566   46,315,173,155   0.17144%
35   26   72,813,986   42,504,549,835   0.17131%
36   48   76,920,292   44,947,156,605   0.17113%
37   31   80,513,050   47,098,381,705   0.17095%
38   45   70,590,335   41,432,346,105   0.17037%
39   20   59,604,465   35,350,781,335   0.16861%
40   47   76,181,193   45,502,287,630   0.16742%
41   37   65,398,577   39,075,549,100   0.16736%
42   36   65,769,132   39,459,645,580   0.16667%
43   39   70,948,493   42,719,096,995   0.16608%
44   40   80,025,636   48,435,099,425   0.16522%
45   34   68,982,895   42,128,249,685   0.16374%
46   49   69,400,506   42,454,441,435   0.16347%
47   35   70,744,138   43,767,506,360   0.16164%
48   41   61,160,432   38,556,422,860   0.15863%
49   46   64,666,070   41,025,919,245   0.15762%
50   52      885,465    1,753,905,660   0.05049%
51   56      518,601    1,160,585,890   0.04468%
52   54      680,221    1,537,767,470   0.04423%
53   58      586,090    1,342,476,260   0.04366%
54   51      551,757    1,281,306,270   0.04306%
55   50      507,060    1,194,744,680   0.04244%
56   53      468,757    1,110,709,550   0.04220%
57   55      594,703    1,430,496,030   0.04157%
58   59      598,598    1,454,655,830   0.04115%
59   57      761,758    1,865,899,380   0.04083%
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 2158 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 Wednesday 31st August 2016