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 - Vocabulary and Skill Building: 2

Answer

$P(E) + P(F)$

Work Step by Step

If $E$ and $F$ are disjoint events, they have no outcomes in common, that is: $N(E~or~F)=N(E)+N(F)$ Using the Classical Method (see page 259): $P(E~or~F)=\frac{N(E~or~F)}{N(S)}=\frac{N(E)+N(F)}{N(S)}=\frac{N(E)}{N(S)}+\frac{N(F)}{N(S)}=P(E)+P(F)$
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