Question

If A and B are two events such that A ≠ Φ, B = Φ, then 

Options

•  \[P\left( \frac{A}{B} \right) = \frac{P\left( A \cap B \right)}{P\left( B \right)}\]

   

•  \[P\left( \frac{A}{B} \right) = P\left( A \right) P\left( B \right)\]

   

• \[P\left( \frac{A}{B} \right) = P\left( \frac{B}{A} \right) = 1\]

   

•  \[P\left( \frac{A}{B} \right) = \frac{P\left( A \right)}{P\left( B \right)}\]

   

Answer 1

By the definition of conditional probability:
 If A and B are two events such that A ≠ Φ, B = Φ, then

\[P\left( \frac{A}{B} \right) = \frac{P\left( A \cap B \right)}{P\left( B \right)}\]