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: 35

Answer

$\frac{5}{87}$

Work Step by Step

If A and B are dependent events, then P(A and B) = P(A)*P(B given that A has occurred) E: a coconut-filled chocolate followed by a caramel-filled chocolate. A: A coconut-filled chocolate B: A caramel-filled chocolate given that a coconut-filled chocolate is selected first. P(A) = $\frac{5}{30}$ P(B) =$\frac{10}{29}$ P(E) = $\frac{5}{30}$ .$\frac{10}{29}$ P(E)=$\frac{5}{87}$
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