Question
Download Solution PDFIf B ⊂ A then :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct option is 3
Concept:
If \( B \subset A \), it means all elements of set B are also in set A.
Using set theory, we know that:
\( A = (A \cap B) \cup (A \cap \bar{B}) \)
The sets \( A \cap B \) and \( A \cap \bar{B} \) are disjoint, so:
\( P(A) = P(A \cap B) + P(A \cap \bar{B}) \)
Since \( A \cap B = B \) (as B is a subset of A), we get:
\( P(A) = P(B) + P(A \cap \bar{B}) \Rightarrow P(A \cap \bar{B}) = P(A) - P(B) \)
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