A standard deck of cards is being used to play a game. There are four suits (hearts, diamonds, clubs, and spades), each having 13 faces (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king), making a total of 52 cards. This complete deck is thoroughly mixed, and you will receive the first two cards from the deck without replacement.

a). What is the probability that the first card is an Ace and the second card is a 6?

b). What is the probability that the first card is a Jack and the second card is either a Diamond or a 9?

c). In the game of blackjack, the picture cards (jack, queen, king) count as 10 points and the Ace counts as either 1 or 11. All other cards are counted at their face value. Blackjack is achieved if your two cards total 21 points. What is the probability of getting blackjack in this problem?

d). What is the probability of drawing a 7 and queen given the first card is a spade and the second is a club?

e). What is the probability of drawing two Aces or two Kings.