A) \[<\frac{1}{4}\]
B) \[>\frac{1}{4}\]
C) \[\ge \frac{1}{2}\]
D) None of these
Correct Answer: A
Solution :
Since \[\overline{{{E}_{1}}}\cap \overline{{{E}_{2}}}=\overline{{{E}_{1}}\cup {{E}_{2}}}\] and\[({{E}_{1}}\cup {{E}_{2}})\cap (\overline{{{E}_{1}}\cup {{E}_{2}}})=\varphi \] \[P\,\{({{E}_{1}}\cup {{E}_{2}})\cap (\overline{{{E}_{1}}}\cap \overline{{{E}_{2}}})\}=P(\varphi )=0<\frac{1}{4}\].
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