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Most popular winning numbers picked in the last 2996 draws

Most  popular ticket in the last 2996 draws: 03 05 07 09 11 44 (56 wins to date totalling £1,331)
Least popular ticket in the last 2996 draws: 50 51 54 55 56 59 (11 wins to date totalling £295)
Pos  No.     Wins          Sales       Percentage
 1   07   92,339,506   50,607,206,340   0.18246%
 2   09   93,430,872   52,392,560,425   0.17833%
 3   05   84,925,391   47,952,482,585   0.17710%
 4   11   92,195,618   53,282,872,175   0.17303%
 5   03   85,960,870   49,895,536,635   0.17228%
 6   44   95,821,239   56,297,322,845   0.17021%
 7   12   84,441,767   49,743,706,475   0.16975%
 8   23   93,505,964   55,401,256,175   0.16878%
 9   17   85,781,218   50,950,269,565   0.16836%
10   27   89,214,315   53,037,577,960   0.16821%
11   06   82,556,539   49,089,085,185   0.16818%
12   04   82,044,005   49,282,968,195   0.16648%
13   19   80,047,243   48,172,152,155   0.16617%
14   18   83,474,229   50,265,385,045   0.16607%
15   02   81,382,277   49,136,636,245   0.16562%
16   10   82,559,052   49,881,055,260   0.16551%
17   08   79,544,594   48,394,325,880   0.16437%
18   28   84,132,104   51,199,607,750   0.16432%
19   13   71,167,061   43,868,419,610   0.16223%
20   14   81,580,878   50,321,683,465   0.16212%
21   24   81,692,025   50,436,182,200   0.16197%
22   25   88,763,113   54,959,148,355   0.16151%
23   29   79,815,426   49,625,539,920   0.16084%
24   30   85,873,439   53,773,008,835   0.15970%
25   22   78,539,899   49,197,988,360   0.15964%
26   21   70,576,900   44,238,065,010   0.15954%
27   15   78,068,603   49,036,967,100   0.15920%
28   33   83,360,675   52,905,607,060   0.15756%
29   16   71,653,154   45,552,662,955   0.15730%
30   01   75,841,192   48,455,553,955   0.15652%
31   38   84,929,074   54,342,334,175   0.15629%
32   32   79,749,323   51,263,602,250   0.15557%
33   42   80,875,000   52,003,631,230   0.15552%
34   48   80,534,341   51,859,928,835   0.15529%
35   43   83,358,570   53,679,755,715   0.15529%
36   31   85,316,237   55,207,282,665   0.15454%
37   26   77,008,567   49,886,592,825   0.15437%
38   47   80,519,109   53,633,255,570   0.15013%
39   40   83,983,096   55,975,066,485   0.15004%
40   45   75,475,289   50,415,992,045   0.14971%
41   20   64,245,840   43,716,994,415   0.14696%
42   36   70,268,093   48,012,916,840   0.14635%
43   39   75,545,775   51,712,043,145   0.14609%
44   35   74,667,134   51,229,355,720   0.14575%
45   49   73,681,912   50,705,294,955   0.14531%
46   37   70,475,764   48,499,807,980   0.14531%
47   34   73,279,260   50,489,883,545   0.14514%
48   41   65,195,373   46,497,256,670   0.14021%
49   46   69,021,701   49,493,381,025   0.13946%
50   58    5,110,228   10,763,585,650   0.04748%
51   52    5,407,445   11,407,679,750   0.04740%
52   57    4,042,302    8,643,430,980   0.04677%
53   53    3,780,878    8,098,420,840   0.04669%
54   59    4,289,347    9,199,093,950   0.04663%
55   50    4,121,654    8,853,399,740   0.04655%
56   54    4,556,397    9,813,423,090   0.04643%
57   56    4,329,694    9,381,917,750   0.04615%
58   55    3,789,353    8,325,311,550   0.04552%
59   51    4,003,424    8,799,955,890   0.04549%
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 2996 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]

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Auto-generated at 1.01am BST on Tuesday 10th September 2024