If A and B are events such that P(A) = 0.6, P(B) = 0.3 and P(A∩B) = 0.2, find P(A/B) and P(B/A).

Engineering

Mathematics

Addition Theorem on Probability

Conditional Probability

Question

If A and B are events such that P(A) = 0.6, P(B) = 0.3 and P(A∩B) = 0.2, find P(A/B) and P(B/A).

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P(A) = 0.6; P(B) = 0.3; P(A∩B) = 0.2

P (A / B) = \frac{P (A \cap B)}{P (B)} = \frac{0.2}{0.3} = \frac{2}{3}

P (B / A) = \frac{P (A \cap B)}{P (A)} = \frac{0.2}{0.6} = \frac{1}{3}