In Cricket world cup, Gavaskar predicting the winner of
each match with amazing success. It is rumored that in a match between 2 teams A and B, Gavaskar 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 India and Srilanka,India the stronger team has a probability of 2/3 of winning the game. What is the probability that Gavaskar will correctly pick the winner of the India-Srilanka game?