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Math Help - power ser

  1. #1
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    power ser

    Aand B are two sets.
    S1: P(A\cup B) = P(A) \cup P(B)
    S2: P(A\cap B) = P(A) \cap P(B)

    Which of the above statement(s) is true ?

    My answer was both of them are wrong.

    But the answer says s2 is correct. But when I take two disjoint sets as example, i get two elements in left and one element at right.

    \{{\emptyset,\{\emptyset\}}\} \neq\{\emptyset\}

    Please correct my answer.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by kumaran5555 View Post
    But the answer says s2 is correct. But when I take two disjoint sets as example, i get two elements in left and one element at right.

    If A\cap B=\emptyset then, P(A\cap B)=P(\emptyset)=\{\emptyset\}



    Fernando Revilla
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