1. ## power ser

$A$and $B$ 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.

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

2. Originally Posted by kumaran5555
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