# FINITE

posted by
**Hil-hellpp!**
.

Assume that the business makes a profit with probability

0.8 in the first year. For each year thereafter, the business makes a profit

with probability 0.8 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?