For two events A and B

Match List I with List II

Choose the correct answer from the options given below :

A-III, B-I, C-IV, D-II

The correct answer is Option (2) → A-III, B-I, C-IV, D-II

A. $P(\overline{A}∩\overline{B})=P(\overline{A}).P(\overline{B})$ ⇒ A and B are independent events (III)

B. $A⊂B,P(B)≠0⇒P(A/B)=\frac{P(A)}{P(B)}$

as $P(B)≤1⇒\frac{P(A)}{P(B)}≥P(A)$ → (I)

C. $P(A ∪ B) =P(A) +P(B)$

$⇒P(A ∩ B)=0$ ⇒ A and B are mutually exclusive events (IV)

D. $P(A|B)=P(B|A)⇒\frac{P(A ∩ B)}{P(B)}=\frac{P(A ∩ B)}{P(A)}$

$⇒P(A)=P(B)$ (II)