Real Madrid – Liverpool will be in the Champions League

In this article, we put the simulation as a methodology into a human-like example.

By Wednesday evening, it became known which 16 teams will enter the next round of the most popular series of football club-level, the Champions League. From there, the competition continues in a straight-off system. On Monday, it will be a draw for which team to fight with.

In the basic case, the formula would be simple, anyone can get everyone with the same chance. However, there are various restrictions in the drawing system. So the really fanatical fans of course curious which team is expected to be their opponent after the draws.

The following limitations apply:

  • group winners (8) can only play with second-placed teams (8)
  • those in the same group can not play against each other
  • teams from the same country can not be drawn to each other

The above limitations can be used to determine the probability of different pairing in a purely mathematical way, but we are now approaching an alternative.

We used the Monte-Carlo simulation method, which simply means that an experiment (in this case, a draw) is repeated several times and then evaluated the results. During the simulation we used the listed limitations and used a  random number generator.

The repeated the draw 3000 times. Based on this method, the most likely 8 pairs are:

Chelsea (ENG) – Beşiktaş (TUR)

Sevilla (ESP) – Roma (ITA)

Real Madrid (ESP) – Liverpool (ENG)

Juventus (ITA) – Manchester City (ENG)

Shakhtar (UKR) – Barcelona (ESP)

Porto (POR) – Manchester United (ENG)

Bayern München (GER) – Tottenham Hotspur (ENG)

Basel (SUI) – Paris (FRA)

If you are interested in more detail, write your question in the comment section and we answer it.


UPDATE (after the draw):

The created simulation works on a strictly probability basis, so the final result was not excluded: we did not guess a single match correctly : /

Afterwards, we looked at how much this was the odds: 18.57%

Which means there are more than 80% chance that we will be better next year 🙂

Digital Conference 2017 – „Digital space”

In the autumn of 2017 a new phase will be launched in the professional dialogue on digital pedagogy. We will be members of this dialogue as well. The conference seeks answers such as:

  • What does learning mean in digital age?
  • How does school prepare pupils for the future?
  • What acquisition and development of skills is essential for successful prosperity in the world of work?

At the conference, you can meet us at the “II / 3 Simulation and Video Game in Education” section. The section is expected to be between 14:45 and 16:45.

Előadásunk/workshopunk címe: Developing business mindset with simulations. Ehhez adunk most egy kis kedvcsinálót.

The title of our lecture / workshop is: Developing business mindset with new generation of simulations. We give you now a little teaser.

99% of enterprises are SMEs within the EU, which embraces 2/3 of jobs in the private sector. Small companies are in fact the giants of the economy, as they provide 80% of new jobs (EU DG Enterprise). According to FIVOSZ’s survey,  less than four percent (!) of the 2.3 million Hungarian young people aged 15-34 dare to start their own business, which is shocking in international comparison. In our presentation, we present a methodology that improves this indicator: in the spring of 2017, 480 high school students of 89 teachers from 4 countries participated in our Central European Business Simulation Competition. Based on student feedback, 87% of secondary school students using our simulation improved their entrepreneurial willingness.

In the frame of the workshop besides presenting the feedback received from the students, we also discuss how can successfully implement the method in secondary education, and teachers are offered the opportunity to test the software as a player. Primary teacher target group: economics teachers.

The detailed program of the conference can be accessed here:

The date of the conference: 2017. november 18.

The venue of the conference: ELTE Pedagógiai és Pszichológiai Kar, 1075 Budapest, Kazinczy u. 23-27.

The year’s website for 2017

We have renewed our website, and we have been applied for ‘The year’s website for 2017 ‘ award.

In The Educational Category, we compete with companies and organisations like, EasyMaths, Mateking, Kaposvár or Metropolitan University.

The Award will be made by professional judges, but you can also express your welcome if you vote directly on this link to our website:

You can check the application sub-page here:

You can also check our renewed website at:

Before answers there should be problems first

Case studies instead of traditional, teacher-centered education focus on problem solving and students. We summarize the work of American researchers on problem-based education.

Reading time: 3 minutes Continue reading “Before answers there should be problems first”

6 rules of gamification

Gamification means using gaming elements in non-gaming environment to make the processes more interesting and resilient.

In this post we present the 6 rules of gamification.

Reading time: 5 minutes Continue reading “6 rules of gamification”