Let $A$ and $B$ be two events such that $P\left( {\overline {A \cup B} } \right) = {1 \over 6},\,P\left( { {A \cap B} } \right) = {1 \over 4}$ and $P\left( {\overline A } \right) = {1 \over 4},$ where $\overline A $ stands for the complement of the event $A$. Then the events $A$ and $B$ are :

Question

independent but not equally likely.

independent and equally likely.

mutually exclusive and independent.

equally likely but not independent.

Solution

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