CUET · MATHS · PYQ PAPER 2025
The probabilities of occurrence of two events A and B are 0.45 and 0.20 respectively.
The probability of their simultaneous occurrence is 0.06.
The probability that neither A nor B occurs is
- A 0
- B 1
- C 0.41
- D 0.59
Answer & Solution
Correct Answer
(C) 0.41
Step-by-step Solution
Detailed explanation
\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\) \(P(A \cup B) = 0.45 + 0.20 - 0.06 = 0.59\) \(P(\text{neither A nor B}) = 1 - P(A \cup B)\) \(P(\text{neither A nor B}) = 1 - 0.59 = 0.41\)
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