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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 that there is no oil?

Respuesta :

TaeKwonDoIsDead

Answer:

9% or 0.09


Step-by-step explanation:

  • Given, chance of land having oil is 45%. Which is 0.45

So, chance of land NOT having oil is [tex]100-45=55[/tex] percent. Which is 0.55

  • Given, kit's accuracy rate of finding oil as 80%. Which is 0.80

So, kit's accuracy rate of NOT finding oil is  [tex]100-80=20[/tex] percent. Which is 0.20

These 2 events are INDEPENDENT, which means that the probability of one event occurring does not affect the probability of another event occuring.


The formula, if we let the two evens be A and B, is:

P(A and B)=P(A) * P(B)

Now, "the probability that the land has oil (event A) AND the test predicts that there is no oil (event B)" will be:

P(A and B) = P(A) * P(B)

[tex]=(0.45)(0.2)=0.09[/tex]

Hence, the probability is 0.09 or 9%


sofia50923

Answer:

The probability that there's no oil os 9%

Step-by-step explanation:

So for plato users option B.  0.09 is the correct option