This problem set will refer to a standard deck of cards. Each card in such a deck has a rank and a suit. The 13 ranks, ordered from lowest to highest, are 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. The 4 suits are clubs (), diamonds (), hearts (), and spades (). Cards with clubs or spades are black, while cards with diamonds or hearts are red. The deck has exactly one card for each rank-suit pair: 4 of diamonds, queen of spades, etc., for a total of 13 4 = 52 cards