Compute P(A | B), if P(B) = 0.25 and P(A ⋂ B) = 0.18

Engineering

Mathematics

Addition Theorem on Probability

Conditional Probability

Question

Compute P(A | B), if P(B) = 0.25 and P(A ⋂ B) = 0.18

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P(B) = 0.25

P(A ⋂ B) = 0.18

\Rightarrow

P(A | B) =

\frac{P (A ⋂ B)}{P (B)}

\frac{0.18}{0.25}

\frac{18}{25}

∴ P(A | B) =

\frac{18}{25}