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 (call this the first deck); it turns out to be an ace. The ace is then placed into the second half-deck (call this the second deck). The second deck is then shuffled very well (it now has 27 cards, and drawing any one of them is equally likely), 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.