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Most popular winning numbers picked in the last 2045 draws

Most  popular ticket in the last 2045 draws: 03 05 07 09 11 27 (45 wins to date totalling £541)
Least popular ticket in the last 2045 draws: 34 35 36 41 46 49 (35 wins to date totalling £949)
Pos  No.     Wins          Sales       Percentage
 1   07   85,896,756   41,203,076,560   0.20847%
 2   09   87,732,045   43,678,681,815   0.20086%
 3   05   79,583,355   39,656,248,795   0.20068%
 4   11   85,909,085   43,403,220,665   0.19793%
 5   03   80,210,426   40,633,911,635   0.19740%
 6   27   83,196,026   42,897,608,960   0.19394%
 7   12   79,105,352   40,880,379,135   0.19350%
 8   08   72,705,788   37,843,659,790   0.19212%
 9   13   65,919,826   34,318,556,610   0.19208%
10   44   90,308,677   47,148,025,575   0.19154%
11   17   80,180,572   41,897,877,255   0.19137%
12   19   74,345,530   39,094,887,465   0.19017%
13   06   77,389,148   40,744,390,875   0.18994%
14   04   76,509,516   40,431,050,045   0.18923%
15   23   88,034,363   46,521,464,915   0.18923%
16   10   76,943,496   40,680,657,750   0.18914%
17   18   78,602,346   41,728,536,985   0.18837%
18   02   76,428,490   40,576,577,335   0.18836%
19   14   75,642,782   40,416,919,375   0.18716%
20   28   78,543,968   42,215,688,160   0.18605%
21   29   73,914,826   39,730,881,470   0.18604%
22   22   73,473,079   39,998,486,110   0.18369%
23   24   76,399,980   41,695,012,400   0.18324%
24   21   65,398,365   35,823,639,960   0.18256%
25   15   73,132,134   40,118,996,550   0.18229%
26   25   83,674,268   46,028,490,175   0.18179%
27   16   66,431,393   36,574,228,035   0.18163%
28   42   75,195,495   41,692,573,670   0.18036%
29   33   78,117,209   43,633,137,270   0.17903%
30   30   81,302,404   45,563,691,395   0.17844%
31   32   74,763,358   41,951,496,010   0.17821%
32   01   70,735,702   40,160,922,985   0.17613%
33   26   71,928,922   40,838,396,235   0.17613%
34   38   80,145,637   45,515,278,675   0.17609%
35   31   79,286,661   45,142,315,715   0.17564%
36   43   78,572,830   44,899,209,915   0.17500%
37   48   76,471,991   44,090,864,445   0.17344%
38   20   58,707,395   33,951,223,005   0.17292%
39   37   64,679,029   37,660,369,720   0.17174%
40   47   75,300,057   43,862,311,990   0.17167%
41   45   70,430,637   41,201,831,335   0.17094%
42   39   70,067,576   41,055,487,285   0.17067%
43   40   78,752,948   46,282,719,985   0.17016%
44   36   65,140,541   38,293,992,330   0.17011%
45   34   68,112,389   40,358,947,195   0.16877%
46   49   68,658,366   41,363,772,665   0.16599%
47   41   59,849,404   36,357,729,390   0.16461%
48   35   70,005,549   42,580,171,290   0.16441%
49   46   63,707,775   39,149,736,815   0.16273%
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 2045 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 2015
Disclaimer - This is an unofficial UK lottery site
Auto-generated at 1.04am BST on Saturday 1st August 2015