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Question
Compute P (A/B), if P (B) = 0.5 and P (A ∩ B) = 0.32
Solution
\[\text{ Given } : \]
\[P\left( B \right) = 0 . 5\]
\[P\left( A \cap B \right) = 0 . 32\]
\[\text{ Now } , \]
\[ P\left( \frac{A}{B} \right) = \frac{P\left( A \cap B \right)}{P\left( B \right)}\]
\[ \Rightarrow P\left( \frac{A}{B} \right) = \frac{0 . 32}{0 . 5} = \frac{32}{50} = \frac{16}{25}\]
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