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S-CP.7 Warmup M2-069-A09-V02

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

Find the probability that neither event occurs using the Addition Rule and the complement

Problem

First compute \(P(A~\text{or}~B)=0.40+0.35-0.10\), then subtract that union from \(1\) to find the probability of neither event.

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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 the probability that neither event occurs using the Addition Rule and the complement