Cards are drawn from a standard 52- card deck until an ace 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 first ace is drawn on the 5th selection.
(b) Find the probability that at least 5 cards are drawn before the first ace 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.