If we randomly select a customer, what is the probability the customer buys none of the three items? (A) 0.12 (B) 0.13 (C) 0.14 (D) 0.15 (E) 0.16

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Please provide thorough reasoning. Highlighted is the correct answer.

Suppose we have the following facts about customers at a supermarket:
• 60% buy bread (B).
• 55% buy milk (M).
• 45% buy eggs (E).
• 78% buy bread or eggs.
• 38% buy bread and milk.
• 30% buy milk and eggs.
• 19% buy all three items.
Transcribed Image Text:Suppose we have the following facts about customers at a supermarket: • 60% buy bread (B). • 55% buy milk (M). • 45% buy eggs (E). • 78% buy bread or eggs. • 38% buy bread and milk. • 30% buy milk and eggs. • 19% buy all three items.
If we randomly select a customer, what is the probability the customer buys none of the
three items?
(А) 0.12
(В) 0.13
(C) 0.14
(D) 0.15
(E) 0.16
Transcribed Image Text:If we randomly select a customer, what is the probability the customer buys none of the three items? (А) 0.12 (В) 0.13 (C) 0.14 (D) 0.15 (E) 0.16
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