College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Summary, Review, and Test - Review Exercises - Page 791: 98

Answer

See below.

Work Step by Step

We know that $probability=\frac{\text{number of favourable outcomes}}{\text{number of all outcomes}}$ a) An event of a flood from the other years thus the probability is the probability of a flood raised to the power of $2$, which is: $0.2^2=0.04$ b) An event of a flood from the other years thus the probability is the probability of a flood raised to the power of $3$, which is: $0.2^3=0.008$ c) An event of a flood from the other years thus the probability is the probability of having no flood raised to the power of $4$, which is: $(1-0.2)^4=0.8^4=0.4096$
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