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Probability: Department Stores (JC Penney, Macy's & Sears)

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A mall has three department stores, JC Penney, Macy's, and Sears. A survey of 2,118 people exiting the mall found that 433 made a purchase at JC Penney, 412 made a purchase at Macy's, 638 made a purchase at Sears, 109 made a purchase at JC Penney and Macy's, 167 made a purchase at JC Penney and Sears, 213 of them made a purchase at Macy's and Sears, and 60 of them made a purchase at all three stores.

a) How many people made a purchase at Sears but did not make a purchase at JC Penney?
b) How many people made a purchase at exactly one of the three stores?

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Solution Summary

This solution shows how to determine, from information about the numbers of customers who visited three department stores in a mall, exactly how many customers visited each store. All reasoning and calculations are given and fully explained.

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Problem: A mall has three department stores, JC Penney, Macy's, and Sears. A survey of 2,118 people exiting the mall found that 433 made a purchase at JC Penney, 412 made a purchase at Macy's, 638 made a purchase at Sears, ...

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