Assume that the business makes a profit with probability 0.6 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 0.2 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?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 39E: Spinner A and B shown in the figure are spun at the same time. (a) Are the events "spinner A stops...
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Assume that the business makes a profit with probability 0.6 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 0.2 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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