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 886: 58

Answer

$\dfrac{3}{5}=0.6$

Work Step by Step

Use the formula for a probability $P$ as: $\text{Probability}=\dfrac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}}=\dfrac{n(E)}{n(S)}$ Here we have: Number of white balls = $9$; Number of orange balls = $3$. Number of green balls = $8$. So, the number of white or orange ball is $9+3=12$ , this means that $n(E)=12$ . There are 20 balls in total, so $n(S)=20$. Thus, the probability is: $P\left(\text{selecting a white or orange ball}\right)=\dfrac{12}{20}=\dfrac{3}{5}=0.6$
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