Compound events, quick check, which set of events is dependent?

Answer 1

A set of events is dependent if the occurrence of one event affects the probability of the other event.

To determine which set of events is dependent, we need to look at the relationship between the events. If the occurrence of one event affects the probability of the other event, then the events are dependent. If the occurrence of one event does not affect the probability of the other event, then the events are independent.

For example, if Event A is drawing a red ball from a bag of red and blue balls, and Event B is drawing a blue ball from the same bag after replacing the red ball, then these events are independent because the occurrence of Event A does not affect the probability of Event B.

However, if Event A is drawing a red ball from a bag of red and blue balls, and Event B is drawing a blue ball from the same bag without replacing the red ball, then these events are dependent because the occurrence of Event A affects the probability of Event B.

Therefore, the set of events where Event A affects the probability of Event B is dependent.