COMEDK · Maths · 36. Probability
If \(P(A \cup B) = 0.85\), \(P(B) = 0.50\) and \(P(A \cap B) = 0.30\). Then \(P(A \cap B') =\)
- A \(0.55\)
- B \(0.35\)
- C \(0.65\)
- D \(0.2\)
Answer & Solution
Correct Answer
(B) \(0.35\)
Step-by-step Solution
Detailed explanation
Using the formula for the union of two events: \(P(A \cup B) = P(A) + P(B) - P(A \cap B)\) \(0.85 = P(A) + 0.50 - 0.30\) \(P(A) = 0.65\) The probability of occurrence of only \(A\) is given by: \(P(A \cap B') = P(A) - P(A \cap B)\) \(P(A \cap B') = 0.65 - 0.30 = 0.35\) Answer:…
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