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.

A.) Events A and B are independent because P(A|B) = P(A)
B.) Events A and B are dependent because P(A|B) = P(A)
C.) Events A and B are independent because P(A|B) = P(B)
D.) Events A and B are dependent because P(A|B) =/ P(A)

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Answer:

Step-by-step explanation: its C

Events A and B are independent events because P(A|B) = P(A).

What are independent events?

If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.

Given that,

P(A) = P(Edward purchases a video game) = 0.67

P(B) = P(Greg purchases a video game) = 0.74

P(A|B) = P(Edward purchases a video game given that Greg has purchased a video game) = 0.67

Events A and B are independent because occurrence of event A is not affected by the occurrence of event B. The probability of Edward purchasing a video game is not affected by the occurrence or non occurrence of the event Greg purchasing a video game.

⇒ P(A|B) = P(A)

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