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: 6

Answer

$\frac{4}{9}$

Work Step by Step

If A and B are independent events, then P(A and B) = P(A)*P(B). A and B: a color other than green each time. A: red or yellow B: red or yellow P(A) = $\frac{4}{6}$ P(B) = $\frac{4}{6}$ Both events A and B are independent: P (A and B) = $\frac{4}{6}$ .$\frac{4}{6}$ = $\frac{4}{9}$
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