Jason inherited a piece of land from his great uncle. owners in this area claim that there is a 45% chance that the land has oil. jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. if the test predicts that there is no oil, what is the probability after the test that the land has oil?

A) 0.1698

B) 0.2217

C) 0.5532

D) 0.7660

Its not C

Question

Myla Flynn

Mathematics

Today, 01:58

Jason inherited a piece of land from his great uncle. owners in this area claim that there is a 45% chance that the land has oil. jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. if the test predicts that there is no oil, what is the probability after the test that the land has oil?

A) 0.1698

B) 0.2217

C) 0.5532

D) 0.7660

Its not C

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Answers (1)

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Burch · Answer 1

Since it is stated that the machine he bought only predict about 80%. Thus, about 20% are still possible that there are oils in the land that he owned.

In a 100% value = 80% were the 0 possibillites detected by the machine and 20% are still the possibility that it has an oil.

=> 80% = 0.80

=> 20% = 0.20

In the given choices. letter B has the closest value to the 20% that we expected.

Thus, let's have B as an answer.