If P(A) = 7 13 , P(B) = 9 13 and P(A B)=4 13 , evaluate P(A|B). - Vidyadip

Question

If P(A) = $\frac{7}{13}$, P(B) = $\frac{9}{13}$ and $\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\frac{4}{13}$, evaluate P(A|B).

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Answer

We have P(A|B) = $\frac{P(A \cap B)}{P(B)}=\frac{\frac{4}{13}}{\frac{9}{13}}=\frac{4}{9}$

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