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A survey of grocery stores in the Southeast revealed 40 percent had a pharmacy, 50 percent had a floral shop, and 70 percent had a deli. Suppose 10 percent of the stores have all three departments, 30 percent have both a pharmacy and a deli, 25 percent have both a floral shop and deli, and 20 percent have both a pharmacy and
floral shop.

a. What is the probability of selecting a store at random and finding it has both a pharmacy and a floral shop?
b. What is the probability of selecting a store at random and finding it has both a pharmacy and a deli?
c. Are the events 'select a store with a deli' and 'select a store with a pharmacy' mutually exclusive?
d. What is the name given to the event of 'selecting a store with a pharmacy, a floral shop, and a deli?'
e. What is the probability of selecting a store that does not have all three departments?

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Solution Summary

The Solution provides the required probabilities.

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