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6 teams (Posted on 2023-03-17) Difficulty: 4 of 5
6 football teams each of different level of play compete in a knockout fashion: the 1st pair chosen at random and in the following rounds the winner is facing another randomly chosen team. Given that a certain team won three games so-far what is the probability of winning the 4th game?

No Solution Yet Submitted by Ady TZIDON    
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ALL SOLVERS. READ IT CAREFULLY Comment 11 of 11 |
Although I still believe that no clarifications are needed, I would like the solvers absolutely accept the following assumptions:
There always be 5 games to be played
In each of them the more qualified team wins , the loser goes home.
Lets name the teams ABCDEF , A being the best and F the weakest
No matter what are the  results of drawings, if A is chosen he never stops playing.
Clearly C can win at most 3 games and therefore for him chances of having another game are zero
Only A and B can win 3 in a row and once you perceive it you have D2 puzzle to complete. 
I hope someone does it prior to  posting the official solution.

Please do.

  Posted by Ady TZIDON on 2023-03-24 04:59:06
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