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 $P(\bar A) = \frac{1}{4},$ where $\bar A$ stands for complement of event $A$. Then events $A$ and $B$ are

  • [AIEEE 2005]
  • A

    Independent but not equally likely

  • B

    Mutually exclusive and independent

  • C

    Equally likely and mutually exclusive

  • D

    Equally likely but not independent

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