Alana picks a marble at random, puts it back, and then picks another marble at random.

Are these two events dependent or independent?

1 answer

The two events described are independent. When Alana picks a marble, puts it back, and then picks another marble, the outcome of the second pick does not depend on the outcome of the first pick. Since the first marble is replaced, the total number of marbles and their proportions remain the same for the second pick. Thus, each pick is independent of the other.