Apply and interpret the Addition Rule P(A or B)=P(A)+P(B)-P(A and B).
Decide whether given probabilities for two events are possible using the Addition Rule
Problem
Are these probability values possible? \(P(A)=0.60\), \(P(B)=0.50\), \(P(A~\text{or}~B)=1.20\)
Big Picture
What this problem is really about
Every probability, including a union probability, must lie between zero and one. We’ll test the proposed union against that universal bound, interpret it as a percent to expose the contradiction, and note that neither overlap nor the marginal values can make an out-of-range union valid.
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