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: 31

Answer

The probability that at least one of three adults selected from the tobacco dependent population suffers from anxiety is 0.4686.

Work Step by Step

P(event happening at least once) = 1 - P(event does not happen) A: does not suffer from anxiety/panic disorder B: does not suffer from anxiety/panic disorder C: does not suffer from anxiety/panic disorder P(E) = 1 - [P(A)*P(B)*P(C)] P(A) = 0.81 P(B) =0.81 P(C)= 0.81 P(E) =1 - [ P(A)*P(B)*P(C)] P(E) =1 - [0.81 x 0.81 x 0.81] P(E)=1 - 0.5314 =0.4686
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