Independent
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They are independent events.
The occurrence of one event does not affect the occurrence of the other event. Take for example tossing a coin. The first toss has no affect on the outcome of the second toss, so these events are independent.
The answer depends on whether A and B can occur together, that is, if they are mutually exclusive.
Dependent.
The word 'occurrence' is a noun form; a singular, common, abstract noun. The noun occurrence is a word for an incident or event; the frequency of an incident or event.