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: 34

Answer

$\frac{3}{29}$

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: two caramel-filled chocolates in a row A: caramel-filled chocolate B: caramel-filled chocolates given that one is selected P(A) = $\frac{10}{30}$ Once one caramel chocolate is selected, there is one fewer caramel filled chocolate and one fewer chocolate overall. Thus, there are only 29 chocolates and only 9 caramel filled chocolates once one caramel chocolate is selected. P(B) =$\frac{9}{29}$ P(E) = $\frac{10}{30}$ .$\frac{9}{29}$ P(E)=$\frac{3}{29}$
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