Apply and interpret the Addition Rule P(A or B)=P(A)+P(B)-P(A and B).
Interpret an inclusive union probability in context
Problem
Interpret \(P(\text{senior}~\text{or}~\text{band})=0.45\) using inclusive “or,” so the event contains seniors, band members, and students in both groups.
Big Picture
What this problem is really about
Probability uses inclusive or unless exclusivity is stated, so the overlap remains included. We’ll translate the union into the three contextual groups, convert the decimal to a percent, and phrase the result so students in both groups are counted once rather than excluded or assigned separate probabilities.
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