Apply and interpret the Addition Rule P(A or B)=P(A)+P(B)-P(A and B).
Find P(A or B) from Venn-diagram information using the Addition Rule
Problem
Use the Venn diagram to add the \(A\text{-}\text{only}\), overlap, and \(B\text{-}\text{only}\) counts \(12+8+10\), then divide by the total \(50\) to find \(P(A~\text{or}~B)\).
A Venn union is the three disjoint regions inside at least one circle. We’ll add A-only, overlap, and B-only once each, exclude the outside region from the numerator while using it in the total, reduce the union fraction, and convert it to a decimal check.
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