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 - Lesson Check - Page 691: 3

Answer

$1$ or $100$%

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 $P(C$ $or$ $D)=P(C)$ $+$ $P(D)$. $P(C)$ is $\dfrac{2}{5}$ and $P(D)$ is $\dfrac{3}{5}$. Plug the values into the formula: $P(C$ $or$ $D)$ = $\dfrac{2}{5}$ $+$ $\dfrac{3}{5}$ $P(C$ $or$ $D)$ = $\dfrac{5}{5}$ $P(C$ $or$ $D)$ $=1=100$%
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