Stats: Data and Models (3rd Edition)

Published by Pearson
ISBN 10: 0321692551
ISBN 13: 978-0-32169-255-9

Chapter 14 - From Randomness to Probability - Exercises - Page 351: 16

Answer

See below.

Work Step by Step

Events have to be independent to be able to use the multiplication rule. Thus the probability of being left-handed has to be independent for siblings. But these events are not independent, because the probability of siblings both being left-handed will be higher than the probability of two unrelated people being left-handed (e.g. consider twins).
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