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Solve the following.
If A and B are events such that P(A) = 1/2, P(B) = 1/3 and P(A ∩ B) = 1/4, then find: P(A/B) P(B/A)
If $A$ and $B$ are events such that $P(A) = \frac{1}{2}$, $P(B) = \frac{1}{3}$ and $P(A \cap B) = \frac{1}{4}$, then find:
(a)[1]
$P(A/B)$
(b)[1]
$P(B/A)$
Answer
Answer (a)
$P(A/B) = \frac{P(A\cap B)}{P(B)} = \frac{1/4}{1/3} = \frac{3}{4}$
Final answer: $\frac{3}{4}$
Answer (b)
$P(B/A) = \frac{P(A\cap B)}{P(A)} = \frac{1/4}{1/2} = \frac{1}{2}$
Final answer: $\frac{1}{2}$