Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 5 - Section 5.2 - Assess Your Understanding - Applying the Concepts: 34a

Answer

$P(G~or~R)=\frac{10}{19}\approx0.526$

Work Step by Step

The sample space S = "38 slots". So, N(S) = 38. Let R be the event "red slot" (odd-numbered). So, $N(R) = 18$. Let B be the event "black slot" (even-numbered). So, $N(B) = 18$. Let G be the event "0, 00" . So, $N(G)=2$. Using the Addition Rule for Disjoint Events (Page 270): $P(G~or~R) = P(G) + P(R) = \frac{N(G)}{N(S)}+\frac{N(R)}{N(S)}=\frac{2}{38}+\frac{18}{38}=\frac{20}{38}=\frac{10}{19}\approx0.526$
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