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?