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Most popular winning numbers picked in the last 2243 draws

Most  popular ticket in the last 2243 draws: 03 05 07 09 11 27 (50 wins to date totalling £666)
Least popular ticket in the last 2243 draws: 51 53 55 56 57 59 (1 wins to date totalling £25)
Pos  No.     Wins          Sales       Percentage
 1   07   87,646,258   43,410,017,970   0.20190%
 2   09   89,069,648   45,372,465,485   0.19631%
 3   05   80,896,772   41,598,046,965   0.19447%
 4   03   81,552,400   42,619,920,975   0.19135%
 5   11   87,679,682   46,042,297,515   0.19043%
 6   27   84,617,005   45,216,563,810   0.18714%
 7   44   91,919,590   49,322,367,695   0.18636%
 8   12   80,669,042   43,370,534,655   0.18600%
 9   13   66,833,944   36,063,749,450   0.18532%
10   06   78,606,746   42,474,689,475   0.18507%
11   17   81,605,361   44,272,340,025   0.18433%
12   04   77,700,295   42,270,984,135   0.18381%
13   19   76,004,575   41,473,533,205   0.18326%
14   18   79,768,009   43,625,397,735   0.18285%
15   08   74,866,161   40,955,422,840   0.18280%
16   23   89,496,635   48,975,670,475   0.18274%
17   10   78,503,666   43,268,733,580   0.18143%
18   02   77,962,712   43,246,662,175   0.18027%
19   28   80,263,409   44,704,038,210   0.17954%
20   29   75,415,945   42,314,715,390   0.17823%
21   14   77,655,426   43,667,403,345   0.17783%
22   24   77,750,700   43,810,082,510   0.17747%
23   22   74,708,805   42,105,213,940   0.17743%
24   15   74,048,039   41,832,626,080   0.17701%
25   25   84,782,986   47,921,086,715   0.17692%
26   33   79,086,297   45,076,136,040   0.17545%
27   21   66,895,868   38,196,206,010   0.17514%
28   16   67,954,571   39,036,594,795   0.17408%
29   42   76,602,415   44,090,132,420   0.17374%
30   32   75,722,122   43,615,283,710   0.17361%
31   30   82,505,491   47,671,806,685   0.17307%
32   01   71,950,247   41,915,533,465   0.17166%
33   38   81,398,569   47,885,325,695   0.16999%
34   26   73,211,832   43,149,908,955   0.16967%
35   48   77,213,825   45,577,912,315   0.16941%
36   43   79,984,647   47,245,603,585   0.16930%
37   31   81,066,151   47,921,282,505   0.16917%
38   45   71,151,356   42,443,913,065   0.16764%
39   20   60,041,790   36,085,279,955   0.16639%
40   47   76,681,870   46,518,336,740   0.16484%
41   37   66,082,459   40,258,521,910   0.16415%
42   36   66,203,914   40,341,831,900   0.16411%
43   39   71,289,943   43,480,453,355   0.16396%
44   40   80,497,541   49,339,013,715   0.16315%
45   34   69,454,989   43,021,135,795   0.16144%
46   49   69,967,292   43,511,011,235   0.16080%
47   35   71,039,031   44,378,334,350   0.16008%
48   41   61,578,518   39,380,674,240   0.15637%
49   46   65,082,535   41,866,556,925   0.15545%
50   52    1,334,724    2,791,101,070   0.04782%
51   58    1,206,075    2,551,836,940   0.04726%
52   54    1,434,730    3,112,821,880   0.04609%
53   50      800,443    1,745,013,610   0.04587%
54   53      839,080    1,845,218,560   0.04547%
55   55      929,519    2,062,486,340   0.04507%
56   51      970,215    2,186,127,620   0.04438%
57   56      663,775    1,500,207,450   0.04425%
58   57      947,756    2,187,594,700   0.04332%
59   59      868,084    2,068,007,730   0.04198%
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 2243 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 1.01am BST on Friday 23rd June 2017