Question:
It is given that the events A and B are such that
P(A) = 1/4, P(A|B) = 1/2, P(B|A) = 2/3
Then P(B) is
It is given that the events A and B are such that
P(A) = 1/4, P(A|B) = 1/2, P(B|A) = 2/3
Then P(B) is
Then P(B) is
Show Hint
Use definition of conditional probability.
Updated On: Mar 17, 2026
frac16
frac13
- \frac23
frac12
Show Solution
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The Correct Option is B
Solution and Explanation
P(A ∩ B) = P(A)·P(B|A) = 1/4 · 2/3 = 1/6
P(A|B) = (P(A ∩ B)) / P(B) = 1/2 ⇒ P(B) = (1/6) / (1/2) = 1/3
P(A|B) = (P(A ∩ B)) / P(B) = 1/2 ⇒ P(B) = (1/6) / (1/2) = 1/3
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