Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.7 Events Involving And; Conditional Probability - Exercise Set 11.7 - Page 747: 32

Answer

$0.363944$

Work Step by Step

$P(\text{at least person suffers from severe pain})=1-P(\text{no person suffers from severe pain})$ Since the events are independent, $P(\text{A and B and C})=P(A)P(B)P(C)$, hence here: $P(\text{at least person suffers from severe pain})=1-P(\text{no person suffers from severe pain})=1-(1-0.14)(1-0.14)(1-0.14)=0.363944$
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