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For the FIFA world cup, Paul the octopus has been predicting the
winner of each match with amazing success. It is rumored that in a match
between 2 teams A and B, Paul picks A with the same probability as A's
chances of winning. Let's assume such rumors to be true and that in a
match between Ghana and Bolivia, Ghana the stronger team has a
probability of 2/3 of winning the game. What is the probability that
Paul will correctly pick the winner of the Ghana-Bolivia game?

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