An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high-quality oil) = 0.55 P(medium-quality oil) = 0.25 P(no oil) = 0.20 If required, round your answers to two decimal places. (a) What is the probability of finding oil? (b) After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows. P(soil | high-quality oil) = 0.25 P(soil | medium-quality oil) = 0.80 P(soil | no oil) = 0.25 What is the new probability of finding oil (to decimals)? According to the revised probabilities, what is the quality of oil that is most likely to be found?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.

P(high-quality oil) = 0.55

P(medium-quality oil) = 0.25

P(no oil) = 0.20

If required, round your answers to two decimal places. (a) What is the probability of finding oil? (b) After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows.

P(soil | high-quality oil) = 0.25

P(soil | medium-quality oil) = 0.80

P(soil | no oil) = 0.25

What is the new probability of finding oil (to decimals)?

According to the revised probabilities, what is the quality of oil that is most likely to be found? 

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