Apply and interpret the Addition Rule P(A or B)=P(A)+P(B)-P(A and B).
Identify whether “A or B” means inclusive or exclusive in a probability statement
Problem
Does this situation use inclusive “or” or exclusive “or”? The statement is “\(A~\text{or}~B\)” in standard probability notation.
Big Picture
What this problem is really about
Standard probability or is inclusive and therefore covers three regions: A-only, B-only, and the overlap. We’ll identify those regions, keep shared outcomes once, and separate the meaning of union from any independence assumption or unstated exclusive-or condition.
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