Brainsteem Mathematics Challenges: Quarter Finals Quirk
mathematics·@rycharde·
0.000 HBDBrainsteem Mathematics Challenges: Quarter Finals Quirk
<center>https://i.imgur.com/84iHKBG.png</center> Friday saw the draw for the quarter-finals of the [UEFA Champions League](https://www.uefa.com/uefachampionsleague/news/#/iv/article/2544465). There was a lot of press chatter in England as the draw appeared to be "unfair" to the English Premier League teams. Few pundits seemed to know how to actually calculate the odds of such a draw happening! Let's see if you can do better. As an aside, there were also two Italian teams in the draw, but they avoided playing each other, so no conspiracy there! --- ### Question **Eight teams are drawn randomly into pairs to play in the quarter-finals (or round of 8). Each team comes from a national league. Assuming two English teams and three Spanish teams (and the other three teams from different countries), what is the probability that the two English teams will be drawn to play each other and the three Spanish teams avoid being drawn against each other?** --- The first correct answer and further interesting comments will be rewarded with an upvote. Enjoy! --- More Brainsteems coming soon... --- <center>- -  - -  - - Please Comment, Resteem and Upvote. Thanks! @rycharde manages the [AAKOM project](https://steemit.com/@aakom) and the [MAP forum](https://steemit.com/@accelerator). Also check out the new [MAP Rewarder](https://steemit.com/mapforum/@accelerator/introducing-the-new-map-rewarder-passive-income-for-delegators-doc-1-0) for passive income!</center>
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