CUET · MATHS · PYQ PAPER 2025
For any events \(A\) and \(B\) of a sample space \(S\), which of the following statements are TRUE?
(A) \(P(S \mid B)=1\)
(B) \(P(A \cap B)=P(A)+P(B)+P(A \cup B)\)
(C) \(P(\bar{A} \mid B)=1-P(A \mid B)\)
(D) \(P(A \mid B)=\frac{P(A \cap B)}{P(B)}, P(B) \neq 0\)
Choose the correct answer from the options given below :
- A (A) and (B) only
- B (A), (C) and (D) only
- C (B) and (C) only
- D (C) and (D) only
Answer & Solution
Correct Answer
(B) (A), (C) and (D) only
Step-by-step Solution
Detailed explanation
Statement (A): \(P(S \mid B) = \frac{P(S \cap B)}{P(B)} = \frac{P(B)}{P(B)} = 1\). (True) Statement (B): \(P(A \cap B) = P(A) + P(B) - P(A \cup B)\). (False) Statement (C):…
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