Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.7 Events Involving And; Conditional Probability - Exercise Set 11.7: 46

Answer

$\frac{8}{285}$

Work Step by Step

If A, B, and C are dependent events, then P(A and B and C) = P(A)*P(B given that A occurred)*P(C given that A and B occurred). E: a can of apple juice, then a can of grape juice, then a can of orange juice. A: apple juice. B: grape juice given that apple juice has been selected C: orange juice given that apple juice and grape juice have been selected P(A) = $\frac{6}{20}$ P(B) =$\frac{8}{19}$ P(C) = $\frac{4}{18}$ P(E) = $\frac{6}{20}$ .$\frac{8}{19}$. $\frac{4}{18}$ P(E)=$\frac{8}{285}$
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