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 no oil and the test shows that there is no oil?
A.
0.09
B.
0.11
C.
0.44
D.
0.36
Answers
Answered by
2
Step-by-step explanation:
The answer is Option C
As the two events, i.e presence of oil in the land and the kit indicating oil in the soil are dependent on each other. Therefore
Probability that the land has no oil and the test shows there is no oil (P)= Probability of no oil in the land x Probability that the test shows no oil if there is actually no oil in the land
P=0.55x 0.8
P=0.44
Similar questions