Q. If $A\ and\ B$ are two mutually exclusive events, then
A) $P(A) < P(\overline{B})$
B) $P(A) > P(\overline{B})$
C) $P(A) < P(B)$
D) None of these
Explanation
(a)
Since, $A$ and $B$ are mutually exclusive events, therefore
$A \cap B = \phi \Rightarrow A \subseteq \overline{B\ }and\ B \subseteq \overline{A}$
$\Rightarrow \ P(A) \leq P\left( \overline{B} \right)\ and\ P(B) \leq P(\overline{A})$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.