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