Start a business: Suppose that start-up companies in the area of biotechnology have probability 0.2 of becoming profitable, and that those in the area of information technology have probability 0.15 of becoming profitable. A venture capitalist invests in one firm of each type. Assume the companies function independently.

a. What is the probability that both companies become profitable?

b. What is the probability that at least one of the two companies becomes profitable?