Question

determine whether the events are independent or dependent. explain your reasoning.
returning a rented movie after the due date and receiving a late fee
the events are because the outcome of returning a rented movie after the due date the probability of the outcome of receiving a late fee.

Explanation:

Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. Two events are dependent if the occurrence of one event affects the probability of the occurrence of the other event.
In this case, if you return a rented movie after the due date, it directly affects the probability of receiving a late - fee. If you return the movie on time (the opposite of the first event), the probability of getting a late - fee is 0. But if you return it late, the probability of getting a late - fee is higher (assuming the rental company has a late - fee policy).

Answer:

The events are dependent because the outcome of returning a rented movie after the due date affects the probability of the outcome of receiving a late fee.