CUET · MATHS · PYQ PAPER 2023
If \(P(A \cap B)=0.4, P(\bar{A} \cap \bar{B})=0.3\), then the value of \(P(\bar{A})+P(\bar{B})\) is:
- A \(0.3\)
- B \(0.5\)
- C \(0.7\)
- D \(0.9\)
Answer & Solution
Correct Answer
(D) \(0.9\)
Step-by-step Solution
Detailed explanation
\(P(\bar{A})+P(\bar{B}) = 2 - (P(A)+P(B))\) \(P(A)+P(B) = P(A \cup B) + P(A \cap B)\) \(P(A \cup B) = 1 - P(\overline{A \cup B}) = 1 - P(\bar{A} \cap \bar{B})\) \(P(\bar{A})+P(\bar{B}) = 2 - ((1 - P(\bar{A} \cap \bar{B})) + P(A \cap B))\)…
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