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: 36

Answer

$\frac{5}{58}$

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 solid chocolate A: A coconut-filled chocolate B: A solid chocolate given a coconut-filled chocolate is selected first. P(A) = $\frac{5}{30}$ P(B) =$\frac{15}{29}$ P(E) = $\frac{5}{30}$ .$\frac{15}{29}$ P(E) =$\frac{5}{58}$
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