| Direction: for question number 14 ? 17. If A and B be two mutually exclusive events in a sample space such that. \[\operatorname{P}(A)\,=\frac{2}{5}\]and \[\operatorname{P}(B)\,=\frac{1}{2}\] then |
A) \[\frac{1}{2}\]
B) \[\frac{3}{5}\]
C) \[\frac{4}{7}\]
D) \[\frac{7}{15}\]
E) None of these
Correct Answer: A
Solution :
Explanation Option [a] is correct. \[\operatorname{P}(\overline{A}\cap \overline{B})=P(B)-P(A\cap B)=P(B)=\frac{1}{2}\] \[(\therefore \,\,P(A\cap B)=0)\]
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