Cards are drawn from a standard 52- card deck until the third club is drawn. After each card is drawn, it is put back in the deck and the cards are reshuffled so that each card drawn is independent of all others.
(a) Find the probability that the 3rd club is drawn on the 8th selection.
(b) Find the probability that at least 8 cards are drawn before the 3rd club appears.
(c) Repeat parts (a) and (b) if the cards are drawn without replacement. That is, after each card is drawn, the card is set aside and not replaced in the deck.