Respuesta :
Events A and B are independent because P(A|B) = P(A).
Given two events A and B, the conditional probability P(A|B) is the probability that A happends, knowing that B has happened. If the two events are dependent, knowing that B has already happened will change the probability of A. If, instead, knowing that B has happened doesn't change the probability of A, it means that A doesn't depend on B, and thus the events are independent.
The statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).
What is conditional probability ?
In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred. In conditional probability, we always deal with two or more mutually exclusive events.
How to identify the correct statement ?
Given that the probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67.
Thus we can see that both the events A and B are mutually exclusive events . Also A and B are both independent events means they do not have any relation of simultaneously occurring.
P(A/B) means that the probability that A will occur given that B has already occurred.
As both the events are independent, therefore when A will occur, it will have no relationship with event B.
∴ P(A/B) = P(A) .
Thus the statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).
To learn more about conditional probability, refer -
brainly.com/question/11896081
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