If $A$ and $B$ are two events such that $P\,(A \cup B) = P\,(A \cap B),$ then the true relation is

  • [IIT 1998]
  • A

    $P\,(A) + P\,(B) = 0$

  • B

    $P\,(A) + P\,(B) = P\,(A)\,P\,\left( {\frac{B}{A}} \right)$

  • C

    $P\,(A) + P\,(B) = 2\,P\,(A)\,P\,\left( {\frac{B}{A}} \right)$

  • D

    None of these

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  • [JEE MAIN 2014]