CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
Let A and B are two events such that \(P ( A )=0.8, P ( B )=0.5, P ( B \mid A )=0.4\)
| List-I | List-II |
| (A) \(P(A \cap B)\) | (I) 0.2 |
| (B) \(P(A \mid B)\) | (II) 0.32 |
| (C) \(P(A \cup B)\) | (III) 0.64 |
| (D) \(P\left(A^{\prime}\right)\) | (IV) 0.98 |
- A \((A) - (II), (B) - (IV), (C) - (III), (D) - (I)\)
- B \((A) - (II), (B) - (III), (C) - (IV), (D) - (I)\)
- C \((A) - (III), (B) - (IV), (C) - (II), (D) - (I)\)
- D \((A) - (III), (B) - (II), (C) - (I), (D) - (IV)\)
Answer & Solution
Correct Answer
(B) \((A) - (II), (B) - (III), (C) - (IV), (D) - (I)\)
Step-by-step Solution
Detailed explanation
(A) \(P(A \cap B) = P(B \mid A) \times P(A)\) \(P(A \cap B) = 0.4 \times 0.8 = 0.32\) (B) \(P(A \mid B) = \frac{P(A \cap B)}{P(B)}\) \(P(A \mid B) = \frac{0.32}{0.5} = 0.64\) (C) \(P(A \cup B) = P(A) + P(B) - P(A \cap B)\) \(P(A \cup B) = 0.8 + 0.5 - 0.32 = 0.98\) (D)…
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