MHT CET202611 April 2026Evening ShiftMathematicsProbabilityActual

If events A and B are such that P(A) = 1 4 , P(A B) = 1 10 and P(A/B) = 2P(B/A) then P(B) = ...........

Options

A1 2
B1 5
C1 8
D2 5

Correct answer

C. 1 8

Step-by-step solution

Given P(A) = 1 4 and P(A B) = 1 10 Using the definition of conditional probability: P(A/B) = P(A B) P(B) P(B/A) = P(A B) P(A) Substituting these into the given relation P(A/B) = 2P(B/A) : P(A B) P(B) = 2 P(A B) P(A) Since P(A B) 0 , we can cancel it from both sides: 1 P(B) = 2 P(A) P(B) = P(A) 2 Substituting P(A) = 1 4 : P(B) = 1 4 2 = 1 8 Answer: 1 8

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