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 691: 17

Answer

$\dfrac{9}{25}$ or $36\%$

Work Step by Step

The probability of grabbing a novel out of the bag is $\dfrac{3}{5}$ and the events are independent because the book is replaced the next day. Use the formula for independent events: $P(Q$ $and$ $R)=P(Q)$ $\times$ $P(R)$. We are given $P(Q)=\dfrac{3}{5}$ and $P(R)$ is $\dfrac{3}{5}$. Plug the values into the formula: $P(Q$ $and$ $R)$ = $\dfrac{3}{5}$ $\times$ $\dfrac{3}{5}$ $P(Q$ $and$ $R)$ = $\dfrac{9}{25}=36\%$
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