Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 3 - Probability - Supplementary Exercises 3.154 - 3.199 - Applying the Concepts - Advanced - Page 175: 3.191b

Answer

$P$(All 3 siblings kidney matches)=$1.5625$%

Work Step by Step

Event A: 1st sibling kidney matches receiver. Event B: 2nd sibling kidney matches receiver. Event C: 3rd sibling kidney matches receiver. $P$(All kidneys match)= $P$(A ∩ B ∩ C) $P$(A ∩ B ∩ C) = $P$(A) * $P$(B) * $P$(C) $P$(A ∩ B ∩ C) = $0.25*0.25*0.25 = 0.015625 =1.5625$%.
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