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: 39

Answer

$\dfrac{1}{4} \text{ or } 0.25$

Work Step by Step

We know that probability of an event is $E$ is given by the formula: $P(E)=\dfrac{\text{number of favourable outcomes}}{\text{number of all possible outcomes}}.$ The possible outcomes, with $B$=boy and $G$-girl, are: $\{BBBB,GBBB,BGBB,BBGB,BBBG,GGBB,GBGB,GBBG,BGGB,BGBG,BBGG,BGGG,GBGG,GGBG,GGGB,GGGG\}$ Notice that there are $4$ possible outcomes with $1$ girl and $3$ boys. There are $16$ possible outcomes in total. Thus, $P(\text{$1$ girl and $3$ boys })=\dfrac{4}{16}=\dfrac{1}{4}=0.25$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.