Most popular winning numbers picked in the last 3055 draws

Pos  No.     Wins          Sales       Percentage
 1   07   92,700,522   51,195,114,470   0.18107%
 2   09   93,829,712   52,942,507,875   0.17723%
 3   05   85,203,588   48,344,936,875   0.17624%
 4   11   92,633,255   54,015,610,745   0.17149%
 5   03   86,305,721   50,411,008,955   0.17120%
 6   44   96,259,158   57,016,801,765   0.16883%
 7   12   84,989,489   50,549,005,005   0.16813%
 8   23   93,696,981   55,762,898,925   0.16803%
 9   27   89,564,348   53,632,065,100   0.16700%
10   06   83,044,306   49,771,212,465   0.16685%
11   17   86,256,648   51,703,118,245   0.16683%
12   04   82,375,684   49,832,882,285   0.16530%
13   18   83,675,015   50,672,117,055   0.16513%
14   02   81,736,194   49,634,656,725   0.16468%
15   10   82,884,416   50,367,909,190   0.16456%
16   19   80,586,012   48,978,153,805   0.16453%
17   08   79,770,659   48,733,079,670   0.16369%
18   28   84,401,156   51,636,350,240   0.16345%
19   25   88,889,119   55,160,574,865   0.16115%
20   24   82,003,686   50,910,917,910   0.16107%
21   13   71,551,998   44,424,189,690   0.16107%
22   14   81,977,808   50,936,272,845   0.16094%
23   29   80,253,721   50,223,541,150   0.15979%
24   30   86,099,429   54,076,056,845   0.15922%
25   21   70,733,822   44,501,639,730   0.15895%
26   22   78,752,527   49,569,463,190   0.15887%
27   15   78,233,368   49,283,677,930   0.15874%
28   33   83,845,976   53,717,454,920   0.15609%
29   16   72,003,292   46,183,663,985   0.15591%
30   01   76,214,718   49,033,801,045   0.15543%
31   48   80,670,211   52,126,683,335   0.15476%
32   32   80,023,744   51,729,680,960   0.15470%
33   42   81,147,313   52,483,834,850   0.15461%
34   38   85,424,740   55,369,814,465   0.15428%
35   43   83,769,543   54,376,278,965   0.15406%
36   26   77,220,265   50,226,272,135   0.15374%
37   31   85,641,278   55,805,691,085   0.15346%
38   40   84,212,417   56,313,581,495   0.14954%
39   45   75,568,402   50,584,031,275   0.14939%
40   47   80,855,739   54,219,313,240   0.14913%
41   20   64,615,000   44,307,758,205   0.14583%
42   36   70,524,691   48,507,361,220   0.14539%
43   37   70,586,703   48,691,161,150   0.14497%
44   39   76,022,864   52,535,612,045   0.14471%
45   49   73,880,429   51,074,928,055   0.14465%
46   34   73,487,872   50,981,580,795   0.14415%
47   35   75,334,926   52,305,121,820   0.14403%
48   46   69,117,524   49,661,876,275   0.13918%
49   41   65,664,736   47,255,708,360   0.13896%
50   58    5,233,521   11,062,902,860   0.04731%
51   52    5,579,133   11,816,362,590   0.04722%
52   57    4,377,611    9,333,503,250   0.04690%
53   54    5,083,019   10,871,407,110   0.04676%
54   53    3,881,516    8,318,420,840   0.04666%
55   59    4,425,070    9,489,806,620   0.04663%
56   50    4,289,852    9,221,545,150   0.04652%
57   51    4,270,848    9,199,445,730   0.04643%
58   56    4,511,577    9,783,201,720   0.04612%
59   55    3,989,267    8,767,820,900   0.04550%

• The Wins column indicates approximately how many tickets with the specified number in the last 3055 draws has won a prize.
• Similarly, the Sales column shows how many tickets were sold with the specified number in the last 3055 draws.
• The Percentage column is simply 100*Wins/Sales and the rows are sorted on that column.

How the figures are calculated

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 3055 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...

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