CL draws reloaded
Written on 14 March 2019, 04:25pm
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: 260)