Answer: The probability after the test that the land has oil is 0.09.
Explanation:
Let A is the event that the land has oil.
It is given that there is a 45% chance that the land has oil. So,

The probability that the land has no oil is,
![P(A)=[tex]P(A')=1-P(A)=1-\frac{45}{100}=\frac{100-45}{100}=\frac{55}{100}](https://tex.z-dn.net/?f=P%28A%29%3D%5Btex%5DP%28A%27%29%3D1-P%28A%29%3D1-%5Cfrac%7B45%7D%7B100%7D%3D%5Cfrac%7B100-45%7D%7B100%7D%3D%5Cfrac%7B55%7D%7B100%7D)
Let B is the event that the kit gives the accurate rate of indicating oil in the soil. So,

The probability that the kit gives the false result is,

Events A and B are two independent events and we have to find the probability that the last has oil and kit given false result.


Therefore, the if the test predicts that there is no oil, then the probability after the test that the land has oil is 0.09.