Suppose that start companies in chemistry have the probability 0.2 of profitability and that those in engineering 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 neither become profitable? c).  What is the probability that at least one of the two become profitable?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose that start companies in chemistry have the probability 0.2 of profitability and that those in engineering 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 neither become profitable?

c).  What is the probability that at least one of the two become profitable?

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