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?

The probability that the land has oil and the test predicts that there is no oil is:

                      0.09

Step-by-step explanation:

The test claims that there is 80% accuracy rate of indicating the oil.

This means that the test does not predict the correct rate is: 20%

Also, the percent chances that the land has oil is: 45%.

Let A denote the event that the land has oil.

Let B denote the event that the test predicts the wrong result.

Let P denote the probability of an event.

Hence, from the information we have:

P(A)=0.45  and    P(B)=0.20

We are asked to find:

P(B∩A)

We know that as both the events are independent.

Hence, P(B∩A)=P(A)×P(B)

Hence, P(B∩A)=0.45×0.20

⇒   P(B∩A)=0.09

       Hence, the required probability is:

                0.09

well what did you do it matters what you did : )

step-by-step explanation: