$P(A \cup B)=P(A \cap B)$ if and only if the relation between $P(A)$ and $P(B)$ is such that one is a subset of the other.
$(1985,2\ M)$
Correct Answer: 32.$P(A \cap B)$
Solution:
If $\quad P(A \cup B)=P(A \cap B)$,
then $P(A)$ and $P(B)$ are equal.
Since, $P(A \cup B)=P(A \cap B) \Rightarrow A$ and $B$ are equal sets
Thus, $P(A)$ and $P(B)$ are equal to $P(A \cap B)$.
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