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Given P(G) = 0.43, P(H) = 0.26 and P(H and G) = 0.14, what is the probability of the complement of H or G?
AIt equals 0.55
BIt equals 0.45
CIt equals 0.86
DIt equals 0.57
Answer & Solution
Correct answer: B. It equals 0.45
1. First find the union with the addition rule: 0.43 plus 0.26 minus 0.14.
2. That gives 0.55 for the probability of H or G.
3. The complement of an event is 1 minus its probability.
4. So the answer is 1 minus 0.55, which is 0.45, while 0.86 is the complement of the intersection instead.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.3 Two Basic Rules of Probability_
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