Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.4 - Assess Your Understanding - Applying the Concepts - Page 294: 33b

Answer

$P(at~least~two~have~the~same~birthday)=0.1169$

Work Step by Step

$P(10~people~have~10~different~birthdays)\approx0.8831$ The event "at least two have the same birthday" is the complement of "10 people have 10 different birthdays". Using the complement Rule (page 275): $P(at~least~two~have~the~same~birthday)=1-P(10~people~have~10~different~birthdays)=1-0.8831=0.1169$
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