Answer:The correct answer is option A.
Explanation:
We have been given that
Probability that the land has oil =[tex]P_o[/tex]= 45% = 0.45
Accuracy rate of the kit indicating the oil in the soil =[tex]P_{k,o}[/tex]= 80 %= 0.80
Rate of the kit indicating no oil in the soil =[tex]P_{k,n}[/tex] 1 - 0.8 = 0.2
Probability of the land has oil and test kit predicts that there is no oil:(And means multiplication, so we will multiply the above two probabilities)
[tex]P_o\times P_{k,n}=0.45\times 0.2=0.09[/tex]
Hence, the probability that the land has oil and the test predicts that there is no oil is 0.09.
Answer:
B. 0.09
Explanation:
Probability that the land has oil = 45%
= 0.45 (converted into decimal)
Probability of accuracy of the kit = 80%
= 0.80 (converted into decimal)
Probability that the kit detects no oil = Total probability - Probability of accuracy of the kit
= 1 - 0.80 [total probability of any event is always 1]
= 0.20
Probability that the land has oil and the test predicts that there is no oil = Probability that the land has oil x Probability that the kit detects no oil
= 0.45 x 0.20
= 0.09
