Suppose we take a deck of 52 cards, and throw away all of the Queens. We take an ace of spades, a two of spades, a three of spades, and a four of spades from a second deck of cards, and add these to our first deck. Thus our deck has 2 ace of spades, 2 two of spades, 2 three of spades, and 2 four of spades, but no Queens, and is standard in all other ways. We shuffle this deck, and deal ourselves the top two cards, C1 and C2. What is the probability that exactly one of the cards is an ace, and the other is a seven?