Let A and B be two events such that P( A B )= 1 6 , P(A B)= 1 4 and P ( ~A )= 1 4 , where…
Mathematics · JEE Main · NTA Exams — Statistics and Probability
Let A and B be two events such that \(P(\overline{A \cup B})=\frac{1}{6}, P(A \cap B)=\frac{1}{4}\) and
\(\mathrm{P}(\overline{\mathrm{~A}})=\frac{1}{4},\) where \(\overline{\mathrm{A}}\) stands for the complement of the event A. Then the events A and B are :
\(\mathrm{P}(\overline{\mathrm{~A}})=\frac{1}{4},\) where \(\overline{\mathrm{A}}\) stands for the complement of the event A. Then the events A and B are :
- independent and equally likely
- mutually exclusive and independent
- equally likely but not independent
- independent but not equally likely
Answer
(D) independent but not equally likely
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