Problem preview
S-CP.7 Warmup M2-069-A06-V01

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

Find P(A or B) from totals that include an overlap

Problem

Use the table totals to calculate \(P(A~\text{or}~B)=(40+30-12)/100\), subtracting the overlap cell once.

Big Picture

What this problem is really about

Table margins for A and B each include the shared cell, so adding them double-counts that overlap. We’ll subtract the joint count once, evaluate the corrected union count, divide by the grand total, and interpret the resulting full-sample probability.

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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) from totals that include an overlap