Question

Assertion :If $B\subset A$, then $P(A\cap \overline{B})=P\left(A\right)-P\left(B\right)$. Reason: $(A\cap \overline{B})\cup B=A$.

• A. Both Assertion & Reason are individually true & Reason is correct explanation of Assertion
• B. Both Assertion & Reason are individually true but Reason is not the ,correct (proper) explanation of Assertion
• C. Assertion is true but Reason is false
• D. Assertion is false but Reason is true

Answer 1

The correct option is A Both Assertion & Reason are individually true & Reason is correct explanation of Assertion

Since $(A\cap \overline{B})\cup B=A$
$\therefore P(A\cap \overline{B})+P\left(B\right)=P\left(A\right)$
$\Rightarrow P(A\cap \overline{B})=P\left(B\right)-P\left(A\right)$
Hence Assertion is followed by Reason