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Determine whether the following pair of events are dependent or independent.

Two cards are drawn from separate decks. A is the event that the first card is a jack, and B is the event that the second card is a ten.

Are the events dependent or independent?

A. The events are independent because event B depends on the outcome of event A, and vice versa.
B. The events are dependent because event B does not depend on the outcome of event A, and vice versa.
C. The events are independent because event B does not depend on the outcome of event A, and vice versa.
D. The events are dependent because event B depends on the outcome of event A, and vice versa.


Sagot :

Final answer:

Events A and B are independent if P(A)P(B) = P(AB), meaning the occurrence of one event does not affect the other.


Explanation:

Independent Events: Two events A and B are independent if the knowledge that one occurred does not affect the chance the other occurs. For example, if event A is drawing a jack and event B is drawing a ten from separate decks, if P(A)P(B) = P(AB), the events are independent, meaning the outcome of one does not impact the other.


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