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If the intersection of two events is nonempty, it means they can occur simultaneously. However, this only means they might possibly be independent; it does not guarantee independence, as strong dependencies like subset relationships can still exist.

Conditions: Events A and B have a non-empty intersection ($AB \neq \emptyset$).

If the intersection of two events is nonempty, it means they can occur simultaneously. However, this only means they might possibly be independent; it does not guarantee independence, as strong dependencies like subset relationships can still exist.

Conditions: Events A and B have a non-empty intersection ($AB \neq \emptyset$).