Problem preview
S-CP.7 Warmup M2-069-A11-V01

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

Choose the correct Addition Rule setup for A or B and neither probability questions

Problem

To find \(P(A~\text{or}~B)\) when both marginal probabilities and their overlap are known, identify the rule that corrects for double-counting the overlap.

Big Picture

What this problem is really about

The correct union setup must repair the double-counted overlap created by adding both marginals. We’ll begin with that sum, subtract one copy of the intersection, and distinguish this addition rule from the complement and multiplication rules used for different probability questions.

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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
Choose the correct Addition Rule setup for A or B and neither probability questions