Q. Let $A,B,C$ be three mutually independent events. Consider the two statements $S_{1}$ and $S_{2},\ S_{1}\ :A\ and\ B \cup C$ are independent, $S_{2}\ :A\ and\ B \cap C$ are independent, then
A) Both $S_{1}$ and $S_{2}$
B) Only $S_{1}$ is true
C) Only $S_{2}$ is true
D) Neither $S_{1}$ and $S_{2}$ is true
Explanation
The correct answer is Option A: Both $S_{1}$ and $S_{2}$.
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.