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?
OA. The probability that an animal on Kudzu is female and blue is 0.40.
OB. On Kudzu, being female and being blue are independent events.
OC. All of the female animals on Kudzu are blue.
OD. On kudzu, being female and being blue are dependent events.

Answer 1

On planet Kudzu, the probability of an animal being blue is 0.20. The probability of an animal being blue given that it is female is also 0.20. Therefore, being female and being blue are independent events.

Step-by-step explanation:

To determine which statement is true, let's analyze the given probabilities:

Probability of an animal being blue = 0.20

Probability of an animal being blue given that it is female = 0.20

From these probabilities, we can conclude that being female and being blue are independent events. This means that the occurrence of one event does not affect the probability of the other event happening.

Therefore, the correct statement is OB. On Kudzu, being female and being blue are independent events.