alleryA, B and C are mutually exclusive and exhaustive with P(A) = 1/2 and P(B) = 1/3. Then P(C) equals:
A1/6 exactly
B5/6 exactly
C1/5 exactly
D2/3 exactly
Answer & Solution
Correct answer: A. 1/6 exactly
1. Mutually exclusive and exhaustive events have probabilities summing to 1.
2. So P(C) = 1 - P(A) - P(B) = 1 - 1/2 - 1/3.
3. P(C) = 1 - 5/6 = 1/6.
_Source: syllabus Mathematics, Ch 14 'Probability' (kemh114)_
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