Question

Consider a single throw of die and two events.
$A=$ the number is even $=\{2,4,6\}$
$B=$ the number is a multiple of $3=\{3,6\}$
Assertion : $P(A\cup B)=\frac{4}{6}=\frac{2}{3}$ and $P(A\cap B)=\frac{1}{6}$
Reason : $P(\overline{A}\cap \overline{B})=P(\overline{A\cup B})=1-\frac{2}{3}=\frac{1}{3}$

• A. Assertion is correct, reason is correct; reason is a correct explanation for assertion.
• B. Assertion is correct, reason is correct; reason is not a correct explanation for assertion
• C. Assertion is correct, reason is incorrect
• D. Assertion is incorrect, reason is correct.

Answer 1

Answer: (B)

Both Assertion and Reason are correct but Reason is not the correct explanation.