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 it

0.36 = 36% probability that the land has oil and the test predicts it

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

45% chance that the land has oil.

This means that

He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.

This means that

What is the probability that the land has oil and the test predicts it?

This is . So

0.36 = 36% probability that the land has oil and the test predicts it

d

step-by-step explanation:

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values