Question

which statement correctly describes dependent events?
two events are dependent if they have no outcomes in common and cannot occur at the same time.
two events are dependent if they have outcomes in common and can occur at the same time.
two events are dependent if the outcome of the first event does not affect the outcome of the second event.
two events are dependent if the outcome of the first event affects the outcome of the second event.

Explanation:

• Option 1: This describes mutually - exclusive events, not dependent events. Mutually - exclusive events have no common outcomes and cannot occur simultaneously.
• Option 2: Events that have outcomes in common and can occur at the same time are called non - mutually exclusive events, not dependent events.
• Option 3: If the outcome of the first event does not affect the outcome of the second event, the events are independent, not dependent.
• Option 4: By the definition of dependent events, when the outcome of the first event affects the outcome of the second event, the two events are dependent.

Answer:

Two events are dependent if the outcome of the first event affects the outcome of the second event.