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

Question

Three critics review a book. Odds in favour of the book are 5: 2,4: 3 and 3: 4 respectively for the three critics. The probability that majority are in favour of the book is (A) (35/49) (B) (125/343) (C) (164/343) (D) (209/343)

Tardigrade Admin · Accepted Answer

Correct answer is (d) (209/343)

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

$\frac{35}{49}$

$\frac{125}{343}$

$\frac{164}{343}$

$\frac{209}{343}$

Correct answer is (d) $\frac{209}{343}$

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

4935​

343125​

343164​

343209​