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Most popular winning numbers picked in the last 2339 draws

Most  popular ticket in the last 2339 draws: 03 05 07 09 11 27 (50 wins to date totalling £666)
Least popular ticket in the last 2339 draws: 51 52 54 55 56 59 (9 wins to date totalling £225)
Pos  No.     Wins          Sales       Percentage
 1   07   88,182,433   44,346,083,400   0.19885%
 2   09   89,560,360   46,147,675,905   0.19407%
 3   05   81,224,159   42,173,754,985   0.19259%
 4   03   81,971,935   43,465,160,195   0.18859%
 5   11   88,255,734   47,003,617,355   0.18776%
 6   27   85,120,120   46,052,990,270   0.18483%
 7   12   80,969,118   43,893,878,575   0.18447%
 8   44   92,506,288   50,389,871,185   0.18358%
 9   13   67,206,366   36,705,843,220   0.18309%
10   17   81,850,891   44,726,924,265   0.18300%
11   06   79,139,982   43,396,016,505   0.18237%
12   23   89,626,133   49,225,109,595   0.18207%
13   19   76,493,395   42,284,059,855   0.18090%
14   04   78,257,653   43,293,174,175   0.18076%
15   18   80,289,685   44,583,017,555   0.18009%
16   08   75,523,207   42,092,107,710   0.17942%
17   10   79,023,902   44,140,956,540   0.17903%
18   28   80,518,650   45,076,779,230   0.17863%
19   02   78,652,800   44,473,461,965   0.17685%
20   24   78,032,404   44,356,915,530   0.17592%
21   14   78,116,652   44,487,261,885   0.17559%
22   22   75,019,120   42,727,383,840   0.17558%
23   29   76,090,439   43,514,461,920   0.17486%
24   25   85,203,159   48,801,214,645   0.17459%
25   15   74,532,436   42,720,439,960   0.17447%
26   33   79,430,488   45,857,915,670   0.17321%
27   21   67,389,630   39,074,289,600   0.17247%
28   16   68,355,893   39,726,832,005   0.17206%
29   32   76,207,055   44,624,454,010   0.17077%
30   42   77,088,681   45,153,740,790   0.17072%
31   30   83,100,234   48,869,344,315   0.17005%
32   01   72,471,705   43,005,737,145   0.16852%
33   38   81,834,974   48,617,950,525   0.16832%
34   31   81,420,590   48,566,979,645   0.16765%
35   26   73,624,582   43,931,103,005   0.16759%
36   43   80,403,435   48,051,352,475   0.16733%
37   48   77,601,272   46,388,690,055   0.16728%
38   45   71,739,155   43,535,620,415   0.16478%
39   39   71,551,402   44,072,618,475   0.16235%
40   47   77,141,674   47,517,236,330   0.16234%
41   20   60,691,176   37,396,419,765   0.16229%
42   40   80,861,699   50,076,099,275   0.16148%
43   37   66,549,921   41,228,030,110   0.16142%
44   36   66,867,790   41,650,730,110   0.16054%
45   34   69,666,325   43,554,777,215   0.15995%
46   49   70,573,614   44,722,055,595   0.15780%
47   35   71,741,585   45,704,354,140   0.15697%
48   41   62,047,788   40,343,302,450   0.15380%
49   46   65,593,567   42,865,427,875   0.15302%
50   58    1,833,472    3,934,118,350   0.04660%
51   50    1,235,243    2,656,544,650   0.04650%
52   53    1,137,884    2,456,885,190   0.04631%
53   57    1,265,721    2,781,278,890   0.04551%
54   52    1,820,744    4,020,728,950   0.04528%
55   54    1,963,720    4,341,153,920   0.04523%
56   51    1,253,227    2,819,860,780   0.04444%
57   56    1,430,189    3,244,379,790   0.04408%
58   55    1,450,915    3,351,289,720   0.04329%
59   59    1,410,111    3,322,291,740   0.04244%
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 2339 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 2018
Disclaimer - This is an unofficial UK lottery site
Auto-generated at 1.21am BST on Thursday 24th May 2018