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Most popular winning numbers picked in the last 2259 draws

Most  popular ticket in the last 2259 draws: 03 05 07 09 11 44 (47 wins to date totalling £682)
Least popular ticket in the last 2259 draws: 51 53 55 56 57 59 (2 wins to date totalling £50)
Pos  No.     Wins          Sales       Percentage
 1   07   87,790,046   43,654,153,320   0.20110%
 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   87,745,983   46,152,826,455   0.19012%
 6   44   91,965,987   49,383,767,545   0.18623%
 7   27   84,765,718   45,527,840,970   0.18618%
 8   12   80,669,042   43,370,534,655   0.18600%
 9   13   66,907,274   36,179,594,950   0.18493%
10   06   78,696,112   42,609,219,115   0.18469%
11   17   81,651,759   44,333,739,875   0.18418%
12   04   77,797,192   42,461,165,765   0.18322%
13   19   76,090,440   41,656,110,155   0.18266%
14   23   89,529,230   49,041,163,185   0.18256%
15   08   74,918,407   41,070,827,840   0.18241%
16   18   79,873,796   43,803,361,855   0.18235%
17   10   78,607,787   43,532,423,990   0.18057%
18   02   78,093,095   43,496,084,535   0.17954%
19   28   80,309,807   44,765,438,060   0.17940%
20   29   75,484,030   42,447,035,230   0.17783%
21   22   74,708,805   42,105,213,940   0.17743%
22   15   74,048,039   41,832,626,080   0.17701%
23   24   77,835,185   43,991,773,830   0.17693%
24   14   77,862,071   44,034,666,925   0.17682%
25   25   84,911,104   48,126,437,605   0.17643%
26   33   79,086,297   45,076,136,040   0.17545%
27   21   67,001,793   38,377,544,220   0.17459%
28   42   76,667,014   44,214,467,610   0.17340%
29   16   68,115,722   39,297,048,365   0.17334%
30   32   75,788,423   43,725,812,650   0.17333%
31   30   82,557,677   47,787,651,565   0.17276%
32   01   72,053,672   42,139,563,015   0.17099%
33   38   81,443,714   47,952,656,195   0.16984%
34   48   77,213,825   45,577,912,315   0.16941%
35   43   80,031,044   47,307,003,435   0.16917%
36   31   81,066,151   47,921,282,505   0.16917%
37   26   73,313,554   43,387,744,755   0.16897%
38   45   71,327,383   42,754,334,735   0.16683%
39   20   60,041,790   36,085,279,955   0.16639%
40   47   76,807,445   46,749,587,240   0.16430%
41   37   66,082,459   40,258,521,910   0.16415%
42   39   71,354,541   43,604,788,545   0.16364%
43   36   66,301,700   40,525,761,550   0.16360%
44   40   80,542,686   49,406,344,215   0.16302%
45   34   69,486,554   43,090,368,305   0.16126%
46   49   70,062,404   43,760,169,155   0.16011%
47   35   71,173,258   44,624,910,950   0.15949%
48   41   61,688,971   39,610,020,350   0.15574%
49   46   65,082,535   41,866,556,925   0.15545%
50   58    1,258,320    2,667,241,940   0.04718%
51   52    1,450,667    3,105,507,000   0.04671%
52   50      866,745    1,855,542,550   0.04671%
53   54    1,572,643    3,417,896,230   0.04601%
54   53      839,080    1,845,218,560   0.04547%
55   51    1,001,780    2,255,360,130   0.04442%
56   57      987,241    2,255,029,880   0.04378%
57   55    1,038,167    2,374,184,650   0.04373%
58   56      909,450    2,108,648,350   0.04313%
59   59      977,491    2,365,987,300   0.04131%
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 2259 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 1.02am BST on Thursday 17th August 2017