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 eve
○ two events are dependent if the outcome of the first event affects the outcome of the second event.

Explanation:

• Analyze each option:
• The first option describes mutually exclusive events, not dependent events.
• The second option describes overlapping (not mutually exclusive) events, not dependent events.
• The third option describes independent events (where one event's outcome doesn't affect the other).
• The fourth option correctly defines dependent events: when the outcome of the first event influences the outcome of the second event.

Answer:

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