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Question:

If the probability of event J multiplied by the probability of event K is not equal to the joint probability of events J and K, then events J and K are most likely:

A dependent events.
Explaination

Events J and K are dependent. By the multiplication rule, joint probability P(JK) =P(J|K) x P(K), or P(JK) = P(K|J) x P(J). Events are independent if P(J|K) = P(J) and P(K(J) = P(K). This implies that for independent events, P(JK) = P(J) x P(K). If this condition is not met, events J and K are dependent. If events J and K are mutually exclusive, their joint probability is zero. The information given is consistent with this but not sufficient to conclude that this is the case.