From a standard deck of 52 cards, you randomly pick 26 cards to form a new set. From this set of 26 cards, you pick two cards. You win if both picked cards are of the same color. Is this game preferable to a game where you pick two cards at random (the first two picks) from a deck of 26 cards containing an equal number of black and red cards, and win if both are of the same color? Calculate or compare the probabilities.