Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 12 - Data Analysis and Probability - 12-8 Probability of Compound Events - Practice and Problem-Solving Exercises - Page 781: 35



Work Step by Step

The first outcome affects the probability of the second so the events are dependent. There are 3 apple drinks out of 11 drinks: P(apple)=$\frac{3}{11}$ There are 5 citrus drinks out of the remaining 10 drinks P(citrus after apple)=$\frac{5}{10}$=$\frac{1}{2}$ P(apple then citrus)=P(apple) $\times$ P(citrus after apple) P(apple then citrus)=$\frac{3}{11}$ $\times$ $\frac{1}{2}$ P(apple then citrus)=$\frac{3}{22}$
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