If A and B are two events such that 2P(A)=3P(B), where 0<P(A)<P(B)<1, then which one of the following is correct?

NDA 2018 Mathematics question

If A and B are two events such that , where , then which one of the following is correct?

Answer: (B)

and . Both probabilities in the denominators are less than 1, so each conditional probability exceeds

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Question ID VK-028926