If $A$ and $B$ are any two events, then the probability that exactly one of them occur is

  • [IIT 1984]
  • A

    $P\,(A) + P\,(B) - P\,(A \cap B)$

  • B

    $P\,(A) + P\,(B) - 2P\,(A \cap B)$

  • C

    $P\,(A) + P\,(B) - P\,(A \cup B)$

  • D

    $P\,(A) + P\,(B) - 2P\,(A \cup B)$

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