Problem preview
S-CP.7 Warmup M2-069-A02-V01

Apply and interpret the Addition Rule P(A or B)=P(A)+P(B)-P(A and B).

Find \(P(A or B)\) for mutually exclusive events

Problem

Because \(A\) and \(B\) are mutually exclusive, their overlap is zero. Add \(0.20\) and \(0.35\) to find \(P(A~\text{or}~B)\).

Big Picture

What this problem is really about

Mutually exclusive events have zero overlap, so the general addition rule simplifies cleanly. We’ll set the intersection term to zero, add the two disjoint probabilities, and express the resulting inclusive union in both decimal and percent form.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
S-CP.7
Category
Statistics and Probability
Domain
Conditional Probability and the Rules of Probability
Objective
Apply and interpret the Addition Rule P(A or B)=P(A)+P(B)-P(A and B).
Problem type
Find \(P(A or B)\) for mutually exclusive events