My guess is 70.18% . I am a bit lazy so I went for a straight forward answer and work in the next comment.

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My guess is 70.18% . I am a bit lazy so I went for a straight forward answer and work in the next comment.

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P = 1 - Probability of Manga Winning (happens 3 ways)

P = 1 - 0.34(0.29) +0.34(0.22)+.39(.32) = 1 - 0.2982 = 0.7018 = 70.18%

Manga only wins in 3 ways. Any other time it is a draw or a lost such that Fang wins. Therefore the chance of Manga winning is the probability that he picks the winning type against Fang thus my answer.