CUET · MATHS · PYQ PAPER 2025
The probabilities of occurrence of two events \(E\) and \(F\) are 0.25 and 0.50 respectively. The probability of their simultaneous occurrence is 0.14 . The probability that neither \(E\) nor \(F\) occurs is
- A 0
- B 1
- C 0.39
- D 0.61
Answer & Solution
Correct Answer
(C) 0.39
Step-by-step Solution
Detailed explanation
\( P(E \cup F) = P(E) + P(F) - P(E \cap F) = 0.25 + 0.50 - 0.14 = 0.61 \) \( P(E' \cap F') = 1 - P(E \cup F) = 1 - 0.61 = 0.39 \)
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