Best gets brainliest. 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. if the test predicts that there is no oil, what is the probability after the test that the land has oil? show work.

Let's look at the possibilities: has oil and oil found, has oil but not found, no oil and not found, no oil and false positive. 

There is a 45% chance of the land having oil. There is also an 80% chance that the kit will give an accurate reading. If the test says that there is no oil, then for the land to have oil, the 45% chance would have to be true (since the land has oil), and the test would have to failed (20%) chance. We can multiply these two chances together like with any other combination of chances to find our solution:

45% x 20% = 0.45 x 0.2 = 0.09 

Therefore, there is only a 9% chance that the land will have oil if the kit claims it doesn't. 

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