A) \[\frac{2}{5}\]
B) \[\frac{4}{5}\]
C) \[\frac{6}{5}\]
D) \[\frac{7}{5}\]
Correct Answer: C
Solution :
Given \[P(A\cup B)=\frac{3}{5}\] and \[P(A\cap B)=\frac{1}{5}\] We know \[P(A\cup B)=P(A)+P(B)-P(A\cap B)\] \[\frac{3}{5}=1-P(\overline{A})+1-P(\overline{B})-\frac{1}{5}\] \[2-\frac{4}{5}=P(\overline{A})+P(\overline{B})\]\[\Rightarrow \]\[P(\overline{A})+P(\overline{B})=\frac{6}{5}\].You need to login to perform this action.
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