Question

Given two independent events A and B such that P (A) = 0.3 and P (B) `= 0.6. Find P ( overlineA ∩ B) .`

Answer 1

\[\text{ Given } : \]

\[\text{ A and B are independent events. } \]
\[P\left( A \right) = 0 . 3\]
\[P\left( B \right) = 0 . 6\]

\[ P\left( \bar{A} \cap B \right) = P\left( \bar{A} \right) P\left( B \right)\]
\[ = P\left( B \right)\left[ 1 - P\left( A \right) \right]\]
\[ = 0 . 6 \times 0 . 7\]
\[ = 0 . 42\]