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2.51 Cards are drawn from a standard 52-card deck until an ace is drawn. After each...

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Basic Math

2.51 Cards are drawn from a standard 52-carddeck until an ace is drawn. After each card is drawn, it is putback in the deck and the cards are reshuffled so that each carddrawn is independent of all others.

(a) Find the probability that the first ace is drawn on the 5thselection.

(b) Find the probability that at least 5 cards are drawn beforethe first ace appears.

(c) Repeat parts (a) and (b) if the cards are drawn withoutreplacement. That is, after each card is drawn, the card is setaside and not replaced in the deck.

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