Question

dependent events can best be described as two or more events that have the same probabilities. two or more events that do not have the same probabilities. a group of events whose later outcomes are not affected by previous outcomes. a group of events whose later outcomes are affected by previous outcomes.

Explanation:

Dependent events are defined as events where the outcome of one event affects the probability of the outcome of another event. For example, if you draw a card from a deck without replacement, the probability of drawing a certain card on the second draw depends on what was drawn on the first draw.

• The first option about same probabilities is incorrect as dependent events' probabilities are affected by previous outcomes.
• The second option about not having same probabilities is too vague and not the key characteristic.
• The third option is for independent events (where later outcomes are not affected by previous ones).
• The fourth option correctly captures the essence of dependent events (later outcomes are affected by previous outcomes).

Answer:

a group of events whose later outcomes are affected by previous outcomes.