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 693: 53

Answer

$\dfrac{1}{2}$

Work Step by Step

In a roll of a die, there are $6$ possible outcomes. Since there are $3$ events corresponding to rolling a number less than 4 (a roll of $1,$ $2,$ or $3$), then the probability of rolling a number less than $4$ is \begin{align*}\require{cancel} P(\text{less than $4$})&= \dfrac{3}{6} \\\\&= \dfrac{\cancel3^1}{\cancel6^2} \\\\&= \dfrac{1}{2} .\end{align*}
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