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: 47

Answer

$\frac{11}{57}$

Work Step by Step

If A, B and C are dependent events, then P(A,B, and C) = P(A)*P(B given that A occurred)*P(C given that A and B occurred) We find the probability of not selecting grape juice if we randomly select 3 cans. E: no grape juice. A: apple, orange, or mango juice. B: apple, orange, or mango juice, given that one is selected C: apple, orange, or mango juice, given that two are selected P(A) = $\frac{12}{20}$ P(B) =$\frac{11}{19}$ P(C) = $\frac{10}{18}$ P(E) = $\frac{12}{20}$ .$\frac{11}{19}$. $\frac{10}{18}$ =$\frac{11}{57}$
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