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Most popular winning numbers picked in the last 2186 draws

Most  popular ticket in the last 2186 draws: 03 05 07 09 11 27 (48 wins to date totalling £616)
Least popular ticket in the last 2186 draws: 50 51 53 56 57 59 (2 wins to date totalling £50)
Pos  No.     Wins          Sales       Percentage
 1   07   87,292,818   42,862,123,630   0.20366%
 2   09   88,904,266   45,142,153,965   0.19694%
 3   05   80,623,425   41,132,940,495   0.19601%
 4   03   81,186,663   42,110,147,265   0.19280%
 5   11   87,098,515   45,213,928,015   0.19264%
 6   27   84,324,373   44,742,739,130   0.18846%
 7   44   91,697,856   48,945,058,445   0.18735%
 8   13   66,569,772   35,538,680,750   0.18732%
 9   06   78,186,560   41,768,565,725   0.18719%
10   12   80,410,985   42,974,658,415   0.18711%
11   23   88,762,881   47,774,508,295   0.18580%
12   19   75,428,114   40,635,507,645   0.18562%
13   17   81,448,778   43,951,535,375   0.18531%
14   04   77,488,598   41,832,312,015   0.18524%
15   08   74,334,715   40,208,154,560   0.18487%
16   18   79,451,872   42,996,662,545   0.18479%
17   10   78,134,700   42,643,143,410   0.18323%
18   02   77,714,869   42,856,960,345   0.18134%
19   28   80,060,021   44,302,802,430   0.18071%
20   29   75,071,593   41,628,112,700   0.18034%
21   24   77,355,109   43,100,542,770   0.17948%
22   14   77,359,115   43,153,188,705   0.17927%
23   22   74,497,606   41,697,019,210   0.17866%
24   15   73,689,515   41,250,517,160   0.17864%
25   21   66,476,581   37,474,839,070   0.17739%
26   25   84,698,774   47,801,358,265   0.17719%
27   16   67,428,320   38,159,284,655   0.17670%
28   33   78,960,044   44,832,878,790   0.17612%
29   42   76,252,884   43,423,672,610   0.17560%
30   32   75,472,827   43,154,657,890   0.17489%
31   30   82,227,647   47,169,268,085   0.17432%
32   01   71,659,700   41,534,727,325   0.17253%
33   38   81,002,488   47,108,609,235   0.17195%
34   48   76,992,340   45,071,350,415   0.17082%
35   43   79,612,731   46,653,938,975   0.17065%
36   31   80,653,663   47,295,258,275   0.17053%
37   26   73,022,124   42,831,514,685   0.17049%
38   45   70,830,498   41,826,787,275   0.16934%
39   20   59,753,738   35,630,063,545   0.16771%
40   36   65,814,075   39,546,465,580   0.16642%
41   47   76,399,822   45,924,290,150   0.16636%
42   37   65,660,656   39,494,306,290   0.16625%
43   39   71,063,718   42,927,437,815   0.16554%
44   40   80,182,096   48,697,198,845   0.16465%
45   34   69,089,752   42,325,421,145   0.16323%
46   49   69,637,688   42,856,585,865   0.16249%
47   35   70,792,991   43,864,104,700   0.16139%
48   41   61,189,046   38,632,918,850   0.15839%
49   46   64,798,758   41,310,012,345   0.15686%
50   52    1,012,776    2,022,305,160   0.05008%
51   58      845,194    1,782,797,920   0.04741%
52   54      880,054    1,916,201,510   0.04593%
53   55      792,990    1,757,491,390   0.04512%
54   56      551,437    1,234,486,170   0.04467%
55   50      612,366    1,385,335,360   0.04420%
56   51      742,524    1,709,571,530   0.04343%
57   53      537,084    1,259,800,510   0.04263%
58   59      642,425    1,554,801,190   0.04132%
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 2186 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 1.30am GMT on Wednesday 7th December 2016