Question

If A and B are two events such that P (A ∩ B) = 0.32 and P (B) = 0.5, find P (A/B).

 

Answer 1

\[\text{ Given } : \]
\[P\left( B \right) = 0 . 5 \]
\[P\left( A \cap B \right) = 0 . 32\]
\[\text{ Now } , \]
\[P\left( \frac{A}{B} \right) = \frac{P\left( A \cap B \right)}{P\left( B \right)}\]
\[ \Rightarrow P\left( \frac{A}{B} \right) = \frac{0 . 32}{0 . 5} = \frac{32}{50} = 0 . 64\]