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:

• Analyze the first option: Events with no common outcomes and can't occur at the same time are mutually exclusive, not dependent.
• Analyze the second option: Events with common outcomes and can occur at the same time are overlapping (not mutually exclusive), but this doesn't define dependent events.
• Analyze the third option: If the outcome of the first event does not affect the second, the events are independent, not dependent.
• Analyze the fourth option: By definition, dependent events are those where the outcome of one event affects the outcome of the other event.

Answer:

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