A) \[P(A)<P(\overline{B})\]
B) \[P(A)>P(\overline{B})\]
C) \[P(A)<P(B)\]
D) None of these
Correct Answer: D
Solution :
Since, A and 8 are two mutually exclusive events. \[\therefore \] \[A\cap B\ne 0\] \[\Rightarrow \] \[A\subseteq \overline{B}\] and \[B\subseteq \overline{A}\] \[\Rightarrow \] \[P(A)\le P(\overline{B})\] and \[P(B)\le P(\overline{A})\]. NOTE Two events A and B are said to be mutually exclusive events, if \[A\cap B=\phi \].
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