alleryFor any two events A and B, the probability that neither occurs always equals:
A1 - P(A and B)
BP(A') + P(B')
CP(A or B) - 1
D1 - P(A or B)
Answer & Solution
Correct answer: D. 1 - P(A or B)
1. Neither A nor B means the outcome lies outside A and outside B.
2. That region is exactly the complement of the union A-or-B.
3. So P(neither) = 1 - P(A or B) for every pair of events.
_Source: syllabus Mathematics, Ch 14 'Probability' (kemh114)_
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