Algebra 2 Common Core

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

Chapter 11 - Probability and Statistics - 11-3 Probability of Multiple Events - Practice and Problem-Solving Exercises - Page 692: 21

Answer

$\dfrac{3}{4}$ or $75\%$

Work Step by Step

Use the formula for mutually exclusive events to find the probability of the events not happening at the same time. The formula is $P(S$ $or$ $T)=P(S)$ $+$ $P(T)$. We have $P(S)=\dfrac{5}{8}$ and $P(T)=\dfrac{1}{8}$. Plug the values into the formula: $P(S$ $or$ $T)$ = $\dfrac{5}{8}$ $+$ $\dfrac{1}{8}$ $P(S$ $or$ $T)$ = $\dfrac{6}{8}$ $P(S$ $or$ $T)$ = $\dfrac{3}{4}=75\%$
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