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Math Help - Another confusing stats question

  1. #1
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    Thumbs down Another confusing stats question

    Suppose A and B are events and define the new event C to occur if and only if exactly ONE of A or B occur. Show algebraically, using only the probability axioms and properties, and basic set-theoretic results , that

    P(C) = P(A) + P(B) - 2P(A n B)

    (n is meant to be an intersection symbol
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  2. #2
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    \overline B stands for B complement.
    Then exactly one is:
    P\left( {A \cap \overline B } \right) + P\left( {\overline A  \cap B} \right) = P(A) - P(A \cap B) + P(B) - P(A \cap B).
    You finish!
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