Three critics review a book. Odds in favour of the book are 5:2, 4:3 and 3:4, respectively, for the three cities. The probability that majority are in favour of the book is

Question : Three critics review a book. Odds in favor of the book are 5:2, 4:3 and 3:4, respectively, for the three cities. The probability that majority are in favor of the book is

(A) 35/49

(B) 125/343

(C) 164/343

(D) 209/343

Answer : option (D)

Solution :

Three critics review a book. Odds in favor of the book are 5:2, 4:3 and 3:4, respectively, for the three
cities. The probability that majority are in favor of the book is
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