A box contains 21 black, 15 red, and 4 purple marbles. Consider the two-stage experiment of randomly

selecting a marble from the box, replacing it, and then selecting a second marble. Determine the

probabilities of the events below. 8 pts

(a) Selecting 2 black marbles

(b) Selecting 1 black then 1 purple marble

(c) Selecting 2 purple marbles

(d) Suppose that the first marble is not replaced before the second marble is chosen. Determine the

probabilities of parts a, b and c.