#title.Decision Models., Advanced Statistics

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I have a problem I am trying to solve. An oil company thinks that there is a 60% chance that there is oil in the land they own. Before drilling they run a soil test. When there is oil in teh ground, the soil test comes back positive(indicating oil) 90% of the time. When there is NO oil in teh ground, the soil test is positive(indicating oil) 20% of the time.
What is the probability that a test comes back positive-indicating oil.
My ans- P(BUP)=P(B)+P(P)-P(BnP)=.900+.600-.200= 1.3
b)What is the probability that there is oil in teh ground, if the test comes back positive?
Ans-P=1-1.3= 0.3 comes back positive.

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