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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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an ambiguity? | Comment 1 of 11
By "the 4th game", I wonder if the problem was meant to say "its 4th game". For a team to win 3 games, it is possible that this team was not selected to play in the first game, but then won the following three games...

Otherwise, if only three games have been played, the problem should state: "a certain team won the first three games"  

I am not sure which way was meant...


Edited on March 17, 2023, 11:32 pm
  Posted by Steven Lord on 2023-03-17 08:57:29

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