A standard deck of playing cards:
- Consists of 52 cards
- These 52 are divided equally (13 each) into four suits: Hearts, Diamonds, Spades, and Clubs.
- Each suit consists of a 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. Thus, there are four 2s, four 3s, four 4s, etc.
- The Jack, Queen, and King are often referred to as "face" cards.
Find the probabilities for the following scenarios. Assume the sampling is done without replacement, i.e. after selecting a playing card the card is NOT returned to the deck.
a. If you select two cards from a standard deck, what is the probability that both are Kings?
b. If you select two cards from a standard deck, what is the probability that the second card selected is the King of Hearts?
c. If you select two cards from a standard deck, what is the probability that the first card is a heart and the second card is not a heart?
Answer a,b,c and show work