16. Two rescue crews set out to find a lost hiker in the Kern Canyon. Suppose the first crew has a 30% chance of finding the lost hiker before nightfall and the second crew has a 40% chance of finding the lost hiker before nightfall. If the two crews work independently, what is the probability that the lost hiker is found before nightfall?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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16. JTWO rescue crews set out to find a lost hiker in the Kern Canyon. Suppose the first crew has a 30% chance
of finding the lost hiker before nightfall and the second crew has a 40% chance of finding the lost hiker before
nightfall. If the two crews work independently, what is the probability that the lost hiker is found before
nightfall?
Transcribed Image Text:16. JTWO rescue crews set out to find a lost hiker in the Kern Canyon. Suppose the first crew has a 30% chance of finding the lost hiker before nightfall and the second crew has a 40% chance of finding the lost hiker before nightfall. If the two crews work independently, what is the probability that the lost hiker is found before nightfall?
Expert Solution
Step 1

Given

Let A be the event where crew 1 finds the hiker before nightfall

      B be the event where crew 2 finds the hiker before nightfall 

P(A)=.3  P(B)=.4

A and B are independent 

 

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