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Solve the following.
If and are events such that , and , then find:
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)[1.0]
$P(A/B)$
(b)[1.0]
$P(B/A)$
Answer
Answer (a)
AI$P(A/B) = \frac{P(A\cap B)}{P(B)} = \frac{1/4}{1/3} = \frac{3}{4}$
Final answer: $\frac{3}{4}$
Answer (b)
AI$P(B/A) = \frac{P(A\cap B)}{P(A)} = \frac{1/4}{1/2} = \frac{1}{2}$
Final answer: $\frac{1}{2}$
From ISC 2018 Mathematics Paper 1, question 1(ix).