Match List-I with List-II. Given $P(A)=\frac{1}{3}$ and $P(B)=\frac{1}{5}$ where A and B are independent.

Choose the correct answer from the options given below :

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

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

(A) $P(A∩B)=P(A)P(B)=\frac{1}{15}$ (III)

(B) $P(\overline A∩\overline B)=P(\overline A)P(\overline B)=\frac{8}{15}$ (IV)

(C) P(atleast one) = $P(A∪B)=P(A)+P(B)-P(A∩B)=\frac{7}{15}$ (I)

(D) P(only one) = $P(A∪B)-P(A∩B)=\frac{2}{5}$ (II)