37. A deck of cards is shuffled and then divided into two halves of 26 cards each....

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37. A deck of cards is shuffled and then divided into two halves of 26 cards each. A card is drawn from one of the halves; it turns out to be an ace. The ace is then placed in the second half-deck. The half is then shuffled, and a card is drawn from it. Compute the probability that this drawn card is an ace.

HINT: Condition on whether or not the interchanged card is selected.

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