If Digger's test indicates that there is no oil in the field, what is the probability that the field contains oil?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
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If Digger's test indicates that there is no oil in the field, what is the probability that the field contains oil?
Transcribed Image Text:If Digger's test indicates that there is no oil in the field, what is the probability that the field contains oil?
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Step 1

Question 4:

Let A is defined as the field has oil, and B is defined as the digger test will indicate oil.

There is a 90% probability that Digger's test will indicate oil when there is oil in the field. That is, PB|A=0.90, there is a 15% chance that Digger's test will indicate oil when the filed contains no oil. That is, PB|A¯=0.15. there is a 15% chance that the field will yield oil. That is, PA=0.15.

 

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