A) \[\frac{1}{2}\]
B) \[\frac{3}{4}\]
C) \[\frac{2}{3}\]
D) \[\frac{2}{5}\]
Correct Answer: A
Solution :
[a] Let M be the events that man will be selected and W the events that woman will be selected. Then, \[P(M)=\frac{1}{4},so\,P(M)=1-\frac{1}{4}=\frac{3}{4}\] \[P(W)=\frac{1}{3},soP(W)=\frac{2}{3}\] Clearly \[{{M}_{1}}\] and \[W\] are independent events. So, \[P(M\cap W)=P(M)\times P(W)=\frac{3}{4}\times \frac{2}{3}=\frac{1}{2}.\]
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