✰Answer:
C - 0.36
✰Step-by-step explanation:
To find the probability that the land has oil and the test predicts it, we can use the concept of conditional probability.
First, let's calculate the probability that the land has oil. We are given that there is a 45% chance that the land has oil. Therefore, the probability that the land has oil is 0.45.
Next, let's calculate the probability that the test predicts oil correctly. The kit claims to have an 80% accuracy rate, which means it correctly identifies oil in the soil 80% of the time. So, the probability that the test predicts oil correctly is 0.80.
To find the probability that both events occur (the land has oil and the test predicts it), we multiply the probabilities of each event together. Therefore, the probability that the land has oil and the test predicts it correctly is:
0.45 * 0.80 = 0.36
So, the probability that the land has oil and the test predicts it is 0.36.
Therefore, the correct answer is 0.36
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⠀⠀⠀⢠⡿⠉⠉⠉⠛⠶⠶⠖⠒⠒⣾⠋⠀⢀⣀⣙⣯⡁⠀⠀⠀⣿⠀⠀⠀⠀
⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⢯⣼⠋⠉⠙⢶⠞⠛⠻⣆⠀⠀⠀
⠀⠀⠀⢸⣧⠆⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣤⡤⢿⡀⠀⢀⣼⣷⠀⠀⣽⠀⠀⠀
⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢏⡉⠁⣠⡾⣇⠀⠀⠀
⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠀⢻⡀⠀⠀
⣀⣠⣼⣧⣤⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠐⠖⢻⡟⠓⠒
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Probability of finding oil in Jason's land = 0.45
Probability of test giving correct result = 0.8
To Find: Probability that land has oil and the test shows the correct result.
Solution:
Let the Event finding oil be A and
the Event that the test shows the correct result be B.
Here, A and B are two such events where the probability of event A does not affect the probability of event B. Such events are called Independent Events.
According to the Law of Probability of Independent Events,
P(A and B) = P(A) . P(B) (1)
Substituting known values in (1):
P(A and B) = 0.45 × 0.8
P(A and B) = 0.36
Therefore, the probability that the land has oil and the test predicts it is option C) 0.36.
Answer:
Step-by-step explanation:
