If P(A)=0.3, P(B)=0.4 and P(A|B)=0.5, then what is the value of P(B|A)?

Explanation

Using the conditional probability formula, P(A \cap B) = P(A|B)P(B) = 0.5 \times 0.4 = 0.2. Then, P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2}{0.3} = \frac{2}{3} \approx 0.667.

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