Group A:
D12: Serbia, Denmark, Mexico
D6: Saudi [Arabia], USA, Cameroon,
D12: Croatia, Switzerland
D20: Spain, England, Germany, France
Group C:
D6: Tunisia
D12: S Korea, Senegal, Japan
D20: Netherlands, Uruguay
Group D:
D6: Scotland, Ghana, Canada, Wales, Morocco
D20: Brazil
Group E:
D6: Ecuador
D12: Iran, Poland
D20: Portugal, Argentina, Belgium
GROUP A
| 
   Serbia  | 
  
   1  | 
  
   USA  | 
  
   3  | 
 
| 
   Cameroon  | 
  
   2  | 
  
   Denmark  | 
  
   2  | 
 
| 
   Mexico  | 
  
   2  | 
  
   Saudi  | 
  
   1  | 
 
| 
   Serbia  | 
  
   3  | 
  
   Cameroon  | 
  
   2  | 
 
| 
   USA  | 
  
   3  | 
  
   Mexico  | 
  
   1  | 
 
| 
   Denmark  | 
  
   2  | 
  
   Saudi  | 
  
   1  | 
 
| 
   Serbia  | 
  
   4  | 
  
   Denmark  | 
  
   3  | 
 
| 
   USA  | 
  
   1  | 
  
   Saudi  | 
  
   0  | 
 
| 
   Mexico  | 
  
   3  | 
  
   Cameroon  | 
  
   1  | 
 
| 
   Serbia  | 
  
   4  | 
  
   Mexico  | 
  
   1  | 
 
| 
   USA  | 
  
   1  | 
  
   Denmark  | 
  
   3  | 
 
| 
   Saudi  | 
  
   0  | 
  
   Cameroon  | 
  
   3  | 
 
| 
   Serbia  | 
  
   1  | 
  
   Saudi  | 
  
   1  | 
 
| 
   Cameroon  | 
  
   3  | 
  
   USA  | 
  
   0  | 
 
| 
   Denmark  | 
  
   2  | 
  
   Mexico  | 
  
   4  | 
 
| 
   Spain  | 
  
   3  | 
  
   Croatia  | 
  
   1  | 
 
| 
   Switzerland  | 
  
   3  | 
  
   England  | 
  
   3  | 
 
| 
   Germany  | 
  
   1  | 
  
   France  | 
  
   3  | 
 
| 
   Spain  | 
  
   5  | 
  
   Switzerland  | 
  
   2  | 
 
| 
   Croatia  | 
  
   4  | 
  
   Germany  | 
  
   0  | 
 
| 
   England  | 
  
   5  | 
  
   France  | 
  
   2  | 
 
| 
   Spain  | 
  
   3  | 
  
   England  | 
  
   2  | 
 
| 
   Croatia  | 
  
   0  | 
  
   France  | 
  
   2  | 
 
| 
   Switzerland  | 
  
   4  | 
  
   Germany  | 
  
   3  | 
 
| 
   Spain  | 
  
   1  | 
  
   Germany  | 
  
   1  | 
 
| 
   Croatia  | 
  
   2  | 
  
   England  | 
  
   5  | 
 
| 
   France  | 
  
   5  | 
  
   Switzerland  | 
  
   3  | 
 
| 
   Spain  | 
  
   3  | 
  
   France  | 
  
   5  | 
 
| 
   Croatia  | 
  
   2  | 
  
   Switzerland  | 
  
   1  | 
 
| 
   England  | 
  
   5  | 
  
   Germany  | 
  
   0  | 
 
| 
   South Korea  | 
  
   2  | 
  
   Senegal  | 
  
   3  | 
 
| 
   Japan  | 
  
   4  | 
  
   Netherlands  | 
  
   2  | 
 
| 
   Uruguay  | 
  
   4  | 
  
   Tunisia  | 
  
   3  | 
 
| 
   South Korea  | 
  
   2  | 
  
   Japan  | 
  
   1  | 
 
| 
   Senegal  | 
  
   4  | 
  
   Uruguay  | 
  
   1  | 
 
| 
   Tunisia  | 
  
   0  | 
  
   Netherlands  | 
  
   5  | 
 
| 
   South Korea  | 
  
   1  | 
  
   Netherlands  | 
  
   4  | 
 
| 
   Japan  | 
  
   3  | 
  
   Uruguay  | 
  
   0  | 
 
| 
   Senegal  | 
  
   1  | 
  
   Tunisia  | 
  
   2  | 
 
| 
   South Korea  | 
  
   2  | 
  
   Uruguay  | 
  
   3  | 
 
| 
   Japan  | 
  
   1  | 
  
   Tunisia  | 
  
   0  | 
 
| 
   Netherlands  | 
  
   0  | 
  
   Senegal  | 
  
   2  | 
 
| 
   South Korea  | 
  
   2  | 
  
   Tunisia  | 
  
   3  | 
 
| 
   Senegal  | 
  
   4  | 
  
   Japan  | 
  
   0  | 
 
| 
   Uruguay  | 
  
   2  | 
  
   Netherlands  | 
  
   4  | 
 
| 
   Brazil  | 
  
   0  | 
  
   Scotland  | 
  
   3  | 
 
| 
   Morocco  | 
  
   2  | 
  
   Canada  | 
  
   2  | 
 
| 
   Wales  | 
  
   1  | 
  
   Ghana  | 
  
   2  | 
 
| 
   Brazil  | 
  
   1  | 
  
   Morocco  | 
  
   0  | 
 
| 
   Scotland  | 
  
   2  | 
  
   Wales  | 
  
   2  | 
 
| 
   Canada  | 
  
   0  | 
  
   Ghana  | 
  
   0  | 
 
| 
   Brazil  | 
  
   2  | 
  
   Canada  | 
  
   2  | 
 
| 
   Scotland  | 
  
   3  | 
  
   Ghana  | 
  
   3  | 
 
| 
   Wales  | 
  
   0  | 
  
   Morocco  | 
  
   2  | 
 
| 
   Brazil  | 
  
   0  | 
  
   Wales  | 
  
   1  | 
 
| 
   Scotland  | 
  
   2  | 
  
   Canada  | 
  
   3  | 
 
| 
   Ghana  | 
  
   2  | 
  
   Morocco  | 
  
   1  | 
 
| 
   Brazil  | 
  
   0  | 
  
   Ghana  | 
  
   0  | 
 
| 
   Scotland  | 
  
   0  | 
  
   Morocco  | 
  
   2  | 
 
| 
   Wales  | 
  
   0  | 
  
   Canada  | 
  
   2  | 
 
| 
   Iran  | 
  
   3  | 
  
   Portugal  | 
  
   3  | 
 
| 
   Argentina  | 
  
   2  | 
  
   Belgium  | 
  
   5  | 
 
| 
   Ecuador  | 
  
   1  | 
  
   Poland  | 
  
   4  | 
 
| 
   Iran  | 
  
   3  | 
  
   Argentina  | 
  
   5  | 
 
| 
   Portugal  | 
  
   3  | 
  
   Ecuador  | 
  
   1  | 
 
| 
   Belgium  | 
  
   2  | 
  
   Poland  | 
  
   3  | 
 
| 
   Iran  | 
  
   4  | 
  
   Belgium  | 
  
   2  | 
 
| 
   Portugal  | 
  
   4  | 
  
   Poland  | 
  
   1  | 
 
| 
   Ecuador  | 
  
   2  | 
  
   Argentina  | 
  
   1  | 
 
| 
   Iran  | 
  
   3  | 
  
   Ecuador  | 
  
   0  | 
 
| 
   Portugal  | 
  
   4  | 
  
   Belgium  | 
  
   3  | 
 
| 
   Poland  | 
  
   2  | 
  
   Argentina  | 
  
   2  | 
 
| 
   Iran  | 
  
   1  | 
  
   Poland  | 
  
   4  | 
 
| 
   Portugal  | 
  
   5  | 
  
   Argentina  | 
  
   2  | 
 
| 
   Ecuador  | 
  
   0  | 
  
   Belgium  | 
  
   3  | 
 
Final tables (this game is a statistician's or an analyst's dream!)
| 
   GROUP A  | 
  ||||||||
| 
   Team  | 
  
   P  | 
  
   W  | 
  
   D  | 
  
   L  | 
  
   F  | 
  
   A  | 
  
   GD  | 
  
   Pts  | 
 
| 
   Serbia  | 
  
   5  | 
  
   3  | 
  
   1  | 
  
   1  | 
  
   13  | 
  
   10  | 
  
   3  | 
  
   10  | 
 
| 
   Mexico  | 
  
   5  | 
  
   3  | 
  
   0  | 
  
   2  | 
  
   11  | 
  
   11  | 
  
   0  | 
  
   9  | 
 
| 
   USA  | 
  
   5  | 
  
   3  | 
  
   0  | 
  
   2  | 
  
   8  | 
  
   8  | 
  
   0  | 
  
   9  | 
 
| 
   Cameroon  | 
  
   5  | 
  
   2  | 
  
   1  | 
  
   2  | 
  
   11  | 
  
   8  | 
  
   3  | 
  
   7  | 
 
| 
   Denmark  | 
  
   5  | 
  
   2  | 
  
   1  | 
  
   2  | 
  
   12  | 
  
   12  | 
  
   0  | 
  
   7  | 
 
| 
   Saudi  | 
  
   5  | 
  
   0  | 
  
   1  | 
  
   4  | 
  
   3  | 
  
   9  | 
  
   -6  | 
  
   1  | 
 
| 
   GROUP B  | 
  ||||||||
| 
   Team  | 
  
   P  | 
  
   W  | 
  
   D  | 
  
   L  | 
  
   F  | 
  
   A  | 
  
   GD  | 
  
   Pts  | 
 
| 
   France  | 
  
   5  | 
  
   4  | 
  
   0  | 
  
   1  | 
  
   17  | 
  
   12  | 
  
   5  | 
  
   12  | 
 
| 
   England  | 
  
   5  | 
  
   3  | 
  
   1  | 
  
   1  | 
  
   20  | 
  
   10  | 
  
   10  | 
  
   10  | 
 
| 
   Spain  | 
  
   5  | 
  
   3  | 
  
   1  | 
  
   1  | 
  
   15  | 
  
   11  | 
  
   4  | 
  
   10  | 
 
| 
   Croatia  | 
  
   5  | 
  
   2  | 
  
   0  | 
  
   3  | 
  
   9  | 
  
   11  | 
  
   -2  | 
  
   6  | 
 
| 
   Switzerland  | 
  
   5  | 
  
   1  | 
  
   1  | 
  
   3  | 
  
   13  | 
  
   18  | 
  
   -5  | 
  
   4  | 
 
| 
   Germany  | 
  
   5  | 
  
   0  | 
  
   1  | 
  
   4  | 
  
   5  | 
  
   17  | 
  
   -12  | 
  
   1  | 
 
| 
   GROUP C  | 
  ||||||||
| 
   Team  | 
  
   P  | 
  
   W  | 
  
   D  | 
  
   L  | 
  
   F  | 
  
   A  | 
  
   GD  | 
  
   Pts  | 
 
| 
   Senegal  | 
  
   5  | 
  
   4  | 
  
   0  | 
  
   1  | 
  
   14  | 
  
   5  | 
  
   9  | 
  
   12  | 
 
| 
   Netherlands  | 
  
   5  | 
  
   3  | 
  
   0  | 
  
   2  | 
  
   15  | 
  
   9  | 
  
   6  | 
  
   9  | 
 
| 
   Japan  | 
  
   5  | 
  
   3  | 
  
   0  | 
  
   2  | 
  
   9  | 
  
   8  | 
  
   1  | 
  
   9  | 
 
| 
   Tunisia  | 
  
   5  | 
  
   2  | 
  
   0  | 
  
   3  | 
  
   8  | 
  
   13  | 
  
   -5  | 
  
   6  | 
 
| 
   Uruguay  | 
  
   5  | 
  
   2  | 
  
   0  | 
  
   3  | 
  
   10  | 
  
   16  | 
  
   -6  | 
  
   6  | 
 
| 
   South Korea  | 
  
   5  | 
  
   1  | 
  
   0  | 
  
   4  | 
  
   9  | 
  
   14  | 
  
   -5  | 
  
   3  | 
 
| 
   GROUP D  | 
  ||||||||
| 
   Team  | 
  
   P  | 
  
   W  | 
  
   D  | 
  
   L  | 
  
   F  | 
  
   A  | 
  
   GD  | 
  
   Pts  | 
 
| 
   Canada  | 
  
   5  | 
  
   2  | 
  
   3  | 
  
   0  | 
  
   9  | 
  
   6  | 
  
   3  | 
  
   9  | 
 
| 
   Ghana  | 
  
   5  | 
  
   2  | 
  
   3  | 
  
   0  | 
  
   7  | 
  
   5  | 
  
   2  | 
  
   9  | 
 
| 
   Morocco  | 
  
   5  | 
  
   2  | 
  
   1  | 
  
   2  | 
  
   7  | 
  
   5  | 
  
   2  | 
  
   7  | 
 
| 
   Scotland  | 
  
   5  | 
  
   1  | 
  
   2  | 
  
   2  | 
  
   10  | 
  
   10  | 
  
   0  | 
  
   5  | 
 
| 
   Brazil  | 
  
   5  | 
  
   1  | 
  
   2  | 
  
   2  | 
  
   3  | 
  
   6  | 
  
   -3  | 
  
   5  | 
 
| 
   Wales  | 
  
   5  | 
  
   1  | 
  
   1  | 
  
   3  | 
  
   4  | 
  
   8  | 
  
   -4  | 
  
   4  | 
 
| 
   GROUP E  | 
  ||||||||
| 
   Team  | 
  
   P  | 
  
   W  | 
  
   D  | 
  
   L  | 
  
   F  | 
  
   A  | 
  
   GD  | 
  
   Pts  | 
 
| 
   Portugal  | 
  
   5  | 
  
   4  | 
  
   1  | 
  
   0  | 
  
   19  | 
  
   10  | 
  
   9  | 
  
   13  | 
 
| 
   Poland  | 
  
   5  | 
  
   3  | 
  
   1  | 
  
   1  | 
  
   14  | 
  
   10  | 
  
   4  | 
  
   10  | 
 
| 
   Iran  | 
  
   5  | 
  
   2  | 
  
   1  | 
  
   2  | 
  
   14  | 
  
   14  | 
  
   0  | 
  
   7  | 
 
| 
   Belgium  | 
  
   5  | 
  
   2  | 
  
   0  | 
  
   3  | 
  
   15  | 
  
   13  | 
  
   2  | 
  
   6  | 
 
| 
   Argentina  | 
  
   5  | 
  
   1  | 
  
   1  | 
  
   3  | 
  
   12  | 
  
   17  | 
  
   -5  | 
  
   4  | 
 
| 
   Ecuador  | 
  
   5  | 
  
   1  | 
  
   0  | 
  
   4  | 
  
   4  | 
  
   14  | 
  
   -10  | 
  
   3  | 
 
Notes:
Serbia (D12), France (D20), Sengal (D6), Canada (D6) and Portugal (D20).
Serbia vs Netherlands
France vs Senegal
Canada vs Portugal
Mexico vs Ghana
France 2 Senegal 1
Canada 1 Portugal 2
Mexico 1 Ghana 1 (Mexico 11-10 on penalties)
The Semi Finals, drawn from the four winners
Netherlands vs France
Portugal vs Mexico (who have done surprisingly well)
Netherlands 4 - France 5
Portugal 4 - Mexico 4 (Portugal win 3-2 on penalties)
The Final was unsurprisingly between two D20 teams, France and Portugal.
France 2 - Portugal 1
Although I've described the teams as D6, D12 and D20, the dice aren't normal dice with values 1-6, 1-12 or 1-20. Most football matches don't end with scores like Liverpool 18 - Man Utd 11. The dice have duplicated numbers - here are the values for their sides:
D6: 0, 1, 1, 2, 2, 3 --> mean = 1.5
D12: 0, 1, 1, 1, 2, 2, 2, 3, 3, 4 --> mean = 1.58 (19/12)
D20: 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5 --> mean = 2.7 (54/20)
In a future post, I'll play a cricket-by-dice game, and compare the results!
Checkout Conversion: A Penalty Shootout
When should you switch off an A/B test?
The Importance of Being Earnest with your KPIs
Should Chelsea sack Jose Mourinho? (It was a relevant question at the time, and I looked at what the data said)
How Exciting is the English Premier League? what does the data say about goals per game?





















