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, and king), making a total of 52 cards. This complete deck is thoroughly mixed, and you will receive the first 2 cards from the deck without replacement. Complete parts (a) through (d).

a. What is the probability that both cards are diamonds?

P(both diamonds) =

round to four decimals as needed

b. What is the probability that the first card is a 10 and the second card is a 5 or 6?

P(10 followed by a 5 or 6) =

round to four decimals as needed

c. If you were sampling with replacement, what would be the answer in (a)?

P( both diamonds) =

round to four decimals as needed

d. In the game of blackjack, the picture cards (jack, queen, king) count as 10 points, and the ace counts as either 1 or 11 points. All other cards are counted at their face value. Blackjack is achieved if 2 cards total 21 points. What is the probability of getting blackjack in this problem?

P(blackjack) =

round to four decimals as needed