26. In an experiment, cards are drawn, one by one, at random and successively from an ordinary...

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26. In an experiment, cards are drawn, one by one, at random and successively from an ordinary deck of 52 cards. Let An be the event that no face card or ace appears on the first n − 1 drawings, and the nth draw is an ace. In terms of An’s, find an expression for the event that an ace appears before a face card,

(a) if the cards are drawn with replacement;

(b) if they are drawn without replacement.

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