ECON 2843-A standard deck of cards is being used to play a game

Subject: Mathematics    / Statistics
Question

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 aces? P(both aces)=

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

followed by 5 or 6)=

C.If you were sampling with replacement, what would be the answer in (a)?P(both aces)=

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)=