Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 11 - Probability and Statistics - 11-2 Probability - Practice and Problem-Solving Exercises - Page 686: 24

Answer

$0.47$

Work Step by Step

These are mutually exclusive: a person cannot both be below $20$ and above $60$ at the same time. For mutually exclusive events, $P(A\text{ and }B) = 0$, so we have: $$\begin{aligned} P(A\text{ or }B)& = P(A) + P(B) - P(A\text{ and }B) = P(A) + P(B)\\ P("<20"\text{ or }">60")& = P("<20")+P(">60")\\ & = 30 \% + 17 \%\\ & = 0.3 + 0.17\\ & = 0.47\end{aligned}$$
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