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Mathematics 18 Online
BeautifulAngel:

Jason inherited a piece of land from his great-uncle. Owners in the 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. What is the probability that the land has oil and the test predicts that there is no oil? 0 0.09 0.11 0.44

BeautifulAngel:

It's not A.0 @ThisGirlPretty

ThisGirlPretty:

Ugh, I'm not sure about this :/ @Hero

BeautifulAngel:

@Elsa213

Hero:

There's a 45% chance of the land having oil, so there's a 55% chance of no oil on the land. The test is 80% which means there's a 20% chance of inaccuracy. The question is asking to find the probability that the land has oil and the test predicts no oil. So Let P(a) represent the probability that the land has oil and the test predicts no oil. We have to find P(a). Which in this case P(a) = (.45)(.20) |dw:1498662366579:dw| We needn't worry about calculating P(b) since it is not required of us to do.

BeautifulAngel:

Ok, so what do i do

Hero:

Do you not understand what is written above? I wrote what to do.

Hero:

Try reading it three times.

BeautifulAngel:

Sorry, I read that wrong. Is it .09?

Hero:

Correct.

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