If $P(A \cup B) = \frac{2}{3}$,$P(A \cap B) = \frac{1}{6}$,and $P(A) = \frac{1}{3}$,then which of the following is true?

  • A
    $A$ and $B$ are independent events.
  • B
    $A$ and $B$ are mutually exclusive events.
  • C
    $A$ and $B$ are dependent events.
  • D
    None of the above.

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