A Hand Soap Manufacturer Introduced a New Liquid, Lotion-Enriched, Antibacterial

Short Answer

A hand soap manufacturer introduced a new liquid, lotion-enriched, antibacterial soap and conducted an extensive consumer survey to help judge the success of the new product. The survey showed 40% of the consumers had seen an advertisement for the new soap, 20% had tried the new soap, and 15% had both seen an advertisement and tried the new soap. Let event A denote that the consumers had seen an ad for the new soap, and event B denote that the consumers had tried the new soap.
a. What is the probability a randomly selected consumer had either seen an advertisement or tried the new soap?
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b. If a randomly chosen consumer has seen an advertisement for the new soap, what is the probability he or she has tried the product?
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