alleryA and B are mutually exclusive, P(not A) = 0.65 and P(A or B) = 0.85. Then P(B) equals:
A0.20 exactly
B0.35 exactly
C0.65 exactly
D0.50 exactly
Answer & Solution
Correct answer: D. 0.50 exactly
1. From the complement rule, P(A) = 1 - 0.65 = 0.35.
2. Mutually exclusive events give P(A or B) = P(A) + P(B).
3. So P(B) = 0.85 - 0.35 = 0.50.
_Source: syllabus Mathematics, Ch 14 'Probability' (kemh114)_
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