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: 13

Answer

$\dfrac{1}{6}$ or $16.\overline{6} \%$

Work Step by Step

The formula for the events would be $P(Q \space and \space R)=$ $P(Q)$ $\times$ $P(R)$ since the events are independent: $P(Q \space and \space R)=$ $P(Q)$ $\times$ $P(R)$ $P(Q \space and \space R)=$ $\dfrac{1}{4}$ $\times$ $\dfrac{2}{3}$ $P(Q \space and \space R)=\dfrac{2}{12}=\dfrac{1}{6}$ $P(Q\space and \space R)=16.\overline{6}\%$
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