Q. $A\ and\ B$ are two events such that $P(A) > 0,\ P(B) \neq 1,$ then $P\left( \frac{\overline{A}}{\overline{B}} \right)$ is equal to
A) $1 - P\left( \frac{A}{B} \right)$
B) $1 - P\left( \ \frac{\overline{A}}{B} \right)$
C) $\frac{1 - P(A \cup B)}{P(\overline{B})}$
D) $\frac{P(\overline{A})}{P(\overline{B})}$
Explanation
The correct answer is Option C: $\frac{1 - P(A \cup B)}{P(\overline{B})}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.