## CL draws reloaded

Written on **14 March 2019, 04:25pm **

**Tagged with:** football, geek, maths, probabilities

You have 8 teams. They will be drawn one against each other, so 4 pairs in total.

**Question 1: how many distinct pair sets are possible?**

**105.** I got to this number after running a large number of simulations. Then I did a little bit of research and I also found the formula:

**Question 2:** if 4 of the 8 teams are from England, **what is the probability that all 4 of them will be drawn together? **

Again, after analyzing the 105 distinct pair sets, I found that only 9 of them have all-English pairs. The full probability set is:

**two**English pairs: 9/105 or**8.57%****exactly one**English pair: 72/105 or**68.57%****no**English pair: 24/105 or**22.86%**

*Written by*
**Dorin Moise**
(Published articles: 243)

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