Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 12 - Counting and Probability - Section 12.3 Probability - 12.3 Assess Your Understanding - Page 885: 37

Answer

$0.125$ or $\dfrac{1}{8}$

Work Step by Step

We know that probability$=\frac{\text{number of favourable outcomes}}{\text{number of all outcomes}}.$ The possible outcomes: $\{BBB,GBB,BGB,BBG,BGG,GBG,GGB,GGG\}$ where B represents a boy and G represents a girl. Since there is $1$ possible outcome with $3$ boys and $8$ outcomes in total, then $P(\text{3 boys})=\dfrac{1}{8}=0.125$
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