alleryE and F are independent events with P(E) = 0.3 and P(F) = 0.5. Then P(E ∪ F) equals
A0.15
B0.85
C0.80
D0.65
Answer & Solution
Correct answer: D. 0.65
1. Addition rule: P(E ∪ F) = P(E) + P(F) − P(E ∩ F).
2. For independent events, P(E ∩ F) = P(E) × P(F) = 0.3 × 0.5 = 0.15.
3. So P(E ∪ F) = 0.3 + 0.5 − 0.15.
4. = 0.65.
_Source: syllabus Mathematics, Ch 13 "Probability", §13.4_
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