Let A and B be independent events such that P(A) = 0.3 and P(B) = 0.4, then

Match List-I with List-II

Choose the correct answer from the options given below:

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

The correct answer is Option (3) → (A)-(III), (B)-(IV), (C)-(I), (D)-(II)

Given:

• $P(A) = 0.3$

• $P(B) = 0.4$

• $A$ and $B$ are independent events.

Calculations:

(A) $P(A \cap B) = P(A) \cdot P(B) = 0.3 \cdot 0.4 = 0.12$

(B) $P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.3 + 0.4 - 0.12 = 0.58$

(C) $P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.12}{0.4} = 0.3$

(D) $P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12}{0.3} = 0.4$

Matching: