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Most popular winning numbers picked in the last 2277 draws

Most  popular ticket in the last 2277 draws: 03 05 07 09 11 27 (50 wins to date totalling £666)
Least popular ticket in the last 2277 draws: 51 53 55 56 57 59 (2 wins to date totalling £50)
Pos  No.     Wins          Sales       Percentage
 1   07   87,848,605   43,774,100,400   0.20069%
 2   09   89,101,212   45,441,697,995   0.19608%
 3   05   81,030,265   41,848,009,635   0.19363%
 4   03   81,552,400   42,619,920,975   0.19135%
 5   11   87,874,833   46,496,259,255   0.18899%
 6   27   84,846,097   45,792,508,790   0.18528%
 7   44   92,080,608   49,730,640,985   0.18516%
 8   12   80,826,549   43,837,388,785   0.18438%
 9   13   67,019,894   36,416,461,040   0.18404%
10   06   78,807,261   42,850,852,785   0.18391%
11   17   81,726,654   44,530,331,485   0.18353%
12   04   77,904,221   42,643,351,315   0.18269%
13   19   76,090,440   41,656,110,155   0.18266%
14   23   89,529,230   49,041,163,185   0.18256%
15   08   74,976,486   41,204,228,410   0.18196%
16   18   79,973,413   44,037,105,145   0.18160%
17   10   78,607,787   43,517,267,860   0.18064%
18   02   78,093,095   43,496,084,535   0.17954%
19   28   80,309,807   44,766,808,440   0.17940%
20   29   75,532,500   42,510,644,080   0.17768%
21   24   77,835,185   43,991,773,830   0.17693%
22   14   77,910,541   44,098,275,775   0.17667%
23   22   74,846,222   42,513,129,710   0.17605%
24   15   74,183,265   42,238,036,500   0.17563%
25   25   85,023,038   48,420,217,335   0.17559%
26   33   79,130,022   45,191,099,280   0.17510%
27   21   67,138,567   38,625,121,570   0.17382%
28   32   75,822,021   43,801,390,460   0.17310%
29   16   68,173,957   39,435,225,815   0.17288%
30   42   76,733,525   44,396,763,750   0.17284%
31   30   82,759,689   48,289,800,535   0.17138%
32   01   72,107,782   42,253,104,865   0.17066%
33   38   81,506,652   48,108,001,335   0.16942%
34   48   77,247,424   45,653,490,125   0.16920%
35   31   81,120,262   48,034,824,355   0.16888%
36   43   80,088,083   47,436,465,635   0.16883%
37   26   73,359,109   43,503,198,655   0.16863%
38   45   71,352,769   42,826,516,645   0.16661%
39   20   60,198,639   36,468,771,595   0.16507%
40   36   66,301,700   40,525,761,550   0.16360%
41   47   76,944,716   47,074,077,060   0.16345%
42   37   66,191,417   40,497,650,230   0.16345%
43   39   71,443,627   43,831,694,815   0.16300%
44   40   80,643,449   49,649,399,275   0.16243%
45   34   69,577,058   43,345,162,785   0.16052%
46   49   70,204,413   44,056,898,905   0.15935%
47   35   71,242,369   44,810,685,720   0.15899%
48   46   65,148,010   42,045,699,535   0.15495%
49   41   61,811,504   39,905,268,600   0.15490%
50   58    1,419,700    3,049,322,160   0.04656%
51   50    1,022,747    2,227,593,590   0.04591%
52   52    1,588,142    3,459,719,010   0.04590%
53   54    1,735,199    3,806,984,660   0.04558%
54   53      863,073    1,917,716,900   0.04501%
55   56    1,125,617    2,536,578,110   0.04438%
56   51    1,080,464    2,448,668,060   0.04412%
57   57    1,009,187    2,322,720,120   0.04345%
58   55    1,136,422    2,621,059,750   0.04336%
59   59    1,043,161    2,548,640,780   0.04093%
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 2277 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 10.24pm BST on Wednesday 18th October 2017