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:

To determine the correct description of dependent events, we analyze each option:

• The first option describes mutually exclusive events (no common outcomes, can't occur together), not dependent events.
• The second option describes events with overlapping outcomes (can occur together), but this is about overlapping, not dependence.
• The third option is incorrect as it describes independent events (outcome of first doesn't affect the second).
• The fourth option correctly defines dependent events: when the outcome of one event affects the outcome of the other.

Answer:

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