Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.4 Fundamentals of Probability - Exercise Set 11.4: 27

Answer

$\frac{3}{8}$

Work Step by Step

P(E) = $\frac{no.\ of\ outcomes\ in\ favor}{Total\ no.\ of\ outcomes}$ If M represents a male child and F represents a female child, the set of equally likely outcomes for the children’s genders when three children are selected is: S = {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}. E: exactly one female child Favorable outcomes= {MMF, MFM, FMM} P(E) = $\frac{3}{8}$
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