Algebra 2 Common Core

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

Chapter 11 - Probability and Statistics - Mid-Chapter Quiz - Page 710: 20

Answer

$\dfrac{3}{5}$

Work Step by Step

The sample space has a total of $10$ elements. The numbers less than $7$ are $\{5,6\}$. The numbers greater than $10$ are $\{11,12,13,14\}$. All in all, there are $6$ events that satisfy the condition "less than $7$ or greater than $10."$ Hence, \begin{align*}\require{cancel} P(\text{less than $7$ or greater than $10$})&= \dfrac{6}{10} \\\\&= \dfrac{\cancel6^3}{\cancel10^5} &\text{(divide by $2$)} \\\\&= \dfrac{3}{5} .\end{align*}
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