Rework problem 25 from section 3.3 of your text, involving the profitability of a small business. Assume that the business makes a profit with probability 0.4 in the first year. For each year thereafter, the business makes a profit with probability 0.9 if it made a profit in the previous year, and with probability 0.4 if it did not make a profit in the previous year. What is the probability that the business makes

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Rework problem 25 from section 3.3 of your text, involving the profitability of a small business. Assume that the business makes a profit with probability 0.4 in the first year. For each year thereafter, the business makes a profit with probability 0.9 if it made a profit in the previous year, and with probability 0.4 if it did not make a profit in the previous year.

What is the probability that the business makes a profit in exactly two of its first three years?

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