CUET · MATHS · PYQ PAPER 2025
Let \(A\) and \(B\) be independent events such that \(P(A)=0.3\) and \(P(B)=0.4\), then
Match List-l with List-ll
| List-I | List-II |
| (A) \(P(A \cap B)\) | (I) 0.3 |
| (B) \(P(A \cup B)\) | (II) 0.4 |
| (C) \(P(A \mid B)\) | (III) 0.12 |
| (D) \(P(B \mid A)\) | (IV) 0.58 |
- A (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
- B (А) - (II), (B) - (I), (C) - (IV), (D) - (III)
- C (А) - (III), (В) - (IV), (C) - (I), (D) - (II)
- D (A) - (IV), (B) - (I), (C) - (III), (D) - (II)
Answer & Solution
Correct Answer
(C) (А) - (III), (В) - (IV), (C) - (I), (D) - (II)
Step-by-step Solution
Detailed explanation
(A) \(P(A \cap B) = P(A) \times P(B) = 0.3 \times 0.4 = 0.12\) (B) \(P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.3 + 0.4 - 0.12 = 0.58\) (C) \(P(A \mid B) = P(A) = 0.3\) (D) \(P(B \mid A) = P(B) = 0.4\) Matches: (A) - (III), (B) - (IV), (C) - (I), (D) - (II)
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