Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 12 - Data Analysis and Probability - 12-8 Probability of Compound Events - Practice and Problem-Solving Exercises - Page 781: 41



Work Step by Step

Choosing an acre of land from one state does not affect the choosing of an acre of land from the other two states so the events are independent: Write the percents as a fraction which will be their probabilities: Alabama= 27% =$\frac{27}{100}$ ->P(A.farmland) Florida=27% =$\frac{27}{100}$ -> P(F.Farmland) Indiana=65% =$\frac{65}{100}$ =$\frac{13}{20}$ ->P(I.Farmland) P(All farmland)=P(A.Farmland) $\times$ P(F.farmland) $\times$ P(I.Farmalnd) P(all land)=$\frac{27}{100}$ $\times$ $\frac{27}{100}$ $\times$ $\frac{13}{20}$ P(all land)=$\frac{9477}{200000}$
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