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S-CP.7 Warmup M2-069-A06-V02

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

From the table, compute \(P(\text{senior}~\text{or}~\text{band})=(25+18-7)/80\) and reduce.

Prompt two-way table: 25 students are seniors, 18 are in band, 7 are both, and the grand total is 80. Find P(senior or band); the result is withheld. Open full size
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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