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Most popular winning numbers picked in the last 1975 draws

Most  popular ticket in the last 1975 draws: 03 05 07 09 11 27 (45 wins to date totalling £541)
Least popular ticket in the last 1975 draws: 34 35 36 41 46 49 (34 wins to date totalling £924)
Pos  No.     Wins          Sales       Percentage
 1   07   84,154,270   39,607,945,100   0.21247%
 2   05   78,869,275   38,976,405,415   0.20235%
 3   09   87,016,235   43,026,601,675   0.20224%
 4   11   84,936,714   42,468,116,615   0.20000%
 5   03   79,422,244   39,860,007,365   0.19925%
 6   27   82,314,759   42,000,237,490   0.19599%
 7   17   78,535,911   40,192,409,115   0.19540%
 8   12   78,418,138   40,172,602,085   0.19520%
 9   08   71,778,495   36,910,168,060   0.19447%
10   13   65,370,005   33,686,461,250   0.19405%
11   19   72,841,017   37,608,015,775   0.19368%
12   23   86,285,253   44,627,508,865   0.19335%
13   06   76,131,752   39,475,480,945   0.19286%
14   44   89,625,713   46,495,371,135   0.19276%
15   18   77,093,740   40,047,936,885   0.19250%
16   04   74,677,489   38,844,785,005   0.19225%
17   10   75,594,634   39,451,309,710   0.19162%
18   02   75,687,803   39,842,331,215   0.18997%
19   14   74,836,935   39,527,258,645   0.18933%
20   28   77,533,113   41,131,210,150   0.18850%
21   29   73,146,836   38,878,711,630   0.18814%
22   22   72,270,859   38,695,248,140   0.18677%
23   24   75,280,648   40,516,350,660   0.18580%
24   21   64,041,495   34,536,249,620   0.18543%
25   15   71,818,854   38,743,024,050   0.18537%
26   42   73,874,432   40,254,599,080   0.18352%
27   25   83,097,592   45,373,953,575   0.18314%
28   16   66,152,895   36,261,816,665   0.18243%
29   33   76,749,893   42,148,746,770   0.18209%
30   30   79,938,947   44,150,009,935   0.18106%
31   32   73,971,437   41,012,015,750   0.18037%
32   38   78,743,033   43,972,181,405   0.17907%
33   01   69,579,087   38,868,931,715   0.17901%
34   31   78,389,651   44,166,994,415   0.17748%
35   43   77,927,498   44,116,845,425   0.17664%
36   26   71,697,574   40,601,477,415   0.17659%
37   48   75,219,826   42,768,896,055   0.17588%
38   20   57,789,053   33,002,795,705   0.17510%
39   47   74,016,341   42,426,380,660   0.17446%
40   37   64,005,280   36,879,455,740   0.17355%
41   39   69,272,954   40,087,340,415   0.17281%
42   40   77,777,279   45,101,448,565   0.17245%
43   45   69,902,769   40,554,130,355   0.17237%
44   36   64,611,670   37,675,394,350   0.17150%
45   34   67,498,867   39,624,121,805   0.17035%
46   49   67,269,790   39,799,421,035   0.16902%
47   41   59,018,532   35,361,255,660   0.16690%
48   35   68,948,361   41,398,504,050   0.16655%
49   46   62,667,108   37,896,108,035   0.16537%
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 1975 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 2014
Disclaimer - This is an unofficial UK lottery site
Auto-generated at 2.04am GMT on Friday 28th November 2014