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Most popular winning numbers picked in the last 2218 draws

Most  popular ticket in the last 2218 draws: 03 05 07 09 11 27 (49 wins to date totalling £641)
Least popular ticket in the last 2218 draws: 51 53 55 56 57 59 (1 wins to date totalling £25)
Pos  No.     Wins          Sales       Percentage
 1   07   87,427,841   43,078,472,970   0.20295%
 2   09   89,069,648   45,372,465,485   0.19631%
 3   05   80,726,719   41,333,741,755   0.19530%
 4   03   81,331,123   42,277,377,895   0.19238%
 5   11   87,422,375   45,727,910,385   0.19118%
 6   27   84,593,880   45,150,753,260   0.18736%
 7   12   80,487,400   43,041,763,365   0.18700%
 8   44   91,770,370   49,088,477,455   0.18695%
 9   13   66,719,583   35,859,295,060   0.18606%
10   06   78,471,699   42,222,372,115   0.18585%
11   04   77,572,920   42,017,998,655   0.18462%
12   17   81,561,671   44,198,230,395   0.18454%
13   23   89,073,791   48,354,947,325   0.18421%
14   19   75,769,580   41,162,580,435   0.18407%
15   18   79,640,082   43,365,346,285   0.18365%
16   08   74,621,770   40,637,073,090   0.18363%
17   10   78,284,873   42,961,319,800   0.18222%
18   02   77,827,648   43,054,453,575   0.18077%
19   28   80,179,126   44,516,677,050   0.18011%
20   29   75,272,494   42,062,801,470   0.17895%
21   14   77,457,413   43,349,830,055   0.17868%
22   24   77,501,239   43,419,592,790   0.17849%
23   22   74,630,538   41,917,806,070   0.17804%
24   15   73,848,125   41,563,827,820   0.17767%
25   25   84,698,774   47,801,358,265   0.17719%
26   21   66,742,892   37,955,088,390   0.17585%
27   33   79,086,297   45,076,136,040   0.17545%
28   16   67,629,420   38,590,049,105   0.17525%
29   42   76,436,491   43,763,332,500   0.17466%
30   30   82,301,804   47,289,688,305   0.17404%
31   32   75,643,398   43,475,660,080   0.17399%
32   01   71,692,940   41,601,146,335   0.17233%
33   38   81,220,554   47,568,002,925   0.17075%
34   48   77,093,691   45,336,505,165   0.17005%
35   43   79,795,301   46,969,703,415   0.16989%
36   26   73,211,832   43,149,908,955   0.16967%
37   31   80,904,424   47,690,668,515   0.16964%
38   45   71,000,860   42,136,454,805   0.16850%
39   20   59,839,999   35,771,399,145   0.16728%
40   47   76,512,849   46,148,627,360   0.16580%
41   36   65,923,290   39,790,477,480   0.16568%
42   37   65,938,801   39,999,028,260   0.16485%
43   39   71,185,196   43,243,469,365   0.16461%
44   40   80,497,541   49,339,013,715   0.16315%
45   34   69,225,893   42,567,531,735   0.16263%
46   49   69,933,490   43,438,529,725   0.16099%
47   35   70,935,934   44,184,893,100   0.16054%
48   41   61,453,681   39,122,577,130   0.15708%
49   46   64,970,311   41,674,431,495   0.15590%
50   52    1,222,647    2,535,895,240   0.04821%
51   58    1,162,384    2,477,727,310   0.04691%
52   50      686,523    1,505,755,580   0.04559%
53   54    1,281,408    2,812,060,760   0.04557%
54   55      854,057    1,881,834,230   0.04538%
55   56      638,899    1,432,177,910   0.04461%
56   53      757,001    1,712,949,920   0.04419%
57   51      874,808    2,003,243,390   0.04367%
58   59      736,692    1,751,304,550   0.04207%
59   57      822,825    1,990,242,220   0.04134%
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 2218 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 2017
Disclaimer - This is an unofficial UK lottery site
Auto-generated at 9.48pm GMT on Saturday 25th March 2017