Three critics review a book. For the three critics the odds in favour of the book are 2 :5 ,3 :4 and 4 :3 respectively. The probability that the majority is in favour of the book, is given by

Question

Accepted Answer

Correct answer: D. (d) : Let the three critics are A ,B and C and P (A ), P (B ) and P (C ) represents the probabilities of A ,B and C respectively in the favour of the book. ∴ P (A )= 27 ,P (B )= 37 and P (C )= 47 Now, probability that the majority is in the favour of the book =P (ABC )+P (A BC )+P ( ABC )+P ( ABC ) = 27 (1- 37) 47+(1- 27) 37 47+ 27 37 (1- 47)+ 27 37 47 = 327^3+ 607^3+ 187^3+ 247^3= 134343

$Three critics review a book. For the three critics the odds in favour of the book are 2 : 5, 3 : 4 and 4 : 3 respectively. The probability that the majority is in favour of the book, is given by$

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