The full question

1 A K Q 10 ROYAL FLUSH 2 L 10 STRAIGHT FLUSH 3 O K FOUR OF A KIND A A A W FULL HOUSE 5 K 10 8 7 FLUSH 6 10 8 V STRAIGHT 7 7 V 7 Q 3 THREE OF A KIND 8 5 U 7 TWO PAIR 9 K 7 PAIR1. Under a proposed new federal law, poker in US casinos would hence- forth be played with a 65 card deck called a Trump deck. It is the same as an ordinary deck of 52 cards except for a fifth suit, called Trumps, that outranks the others, so if no player has a scoring hand, the best card to hold is the ace of Trumps. This creates one new hand, 5 of a kind, and changes the probabilities of all the hands. Generally speaking, hands like 3 and 4 of a kind become more common, and flushes become less common. The order of frequency is now royal flush, five of a kind, straight flush, four of a kind, flush, full house, straight, three of a kind, two pairs, one pair. (Definitions of the types of hands are on page 65 of the textbook and are easy to find online.) Count the total number of possible poker hands with a Trump deck, and the number of hands of each of the above kinds. Be careful not to count a hand twice-for example, if a hand is a straight flush, then it doesn't count as a flush, or as a straight; a full house doesn't count as 3 of a kind, or as 2 pairs