On the planet Kudzu, the probability that an animal is blue is 0.20. The probability that the animal is blue given that the animal is female is 0.20.Which statement is true?A.The probability that an animal on Kudzu is female and blue is 0.40.B.All of the female animals on Kudzu are blue.C.On Kudzu, being female and being blue are independent events.D.On Kudzu, being female and being blue are dependent events.
Question
On the planet Kudzu, the probability that an animal is blue is 0.20. The probability that the animal is blue given that the animal is female is 0.20.Which statement is true?A.The probability that an animal on Kudzu is female and blue is 0.40.B.All of the female animals on Kudzu are blue.C.On Kudzu, being female and being blue are independent events.D.On Kudzu, being female and being blue are dependent events.
Solution
The correct statement is C. On Kudzu, being female and being blue are independent events. This is because the probability that an animal is blue (0.20) is the same as the probability that an animal is blue given that the animal is female (0.20). This means that being female does not change the probability of the animal being blue, indicating that the two events are independent.
Similar Questions
On the planet Kudzu, the probability that a bird is green is 0.30. The probability that the bird is green given that the bird is female is 0.30.Which statement is true?A.On Kudzu, being female and being green are dependent events.B.The probability that a bird on Kudzu is female and green is 0.30.C.On Kudzu, being female and being green are independent events.D.All of the female birds on Kudzu are green.
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Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independent. Then P(A|B) is:Question 16Select one:a.P(A)/P(B) = 0.2/0.4 = ½b.None of the above.c.P(A) = 0.2d.P(A) × P(B) = (0.2)(0.4) = 0.08
A and B are independent events.P(A) = 0.50P(B) = 0.20What is P(A|B)?A.0.50B.0.10C.0.20D.Not enough information
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