If a standard deck of playing cards, four suits exist (red suits=hearts and diamonds, black suits = spades and clubs). Each suit has 13 cards: Ace (A), 2, 3, 4, 5, 6, 7, 8. 9, 10 and the face cards Jack (J), Queen (Q), and king (K).

a. In a single draw, what is the probability that you will draw a face card? A red card? A red face card?

b. Now you draw 4 cards, one at a time. After each draw, you return the card to the deck. What is the chance that all four cards you pick are face cards?

c. Suppose instead you draw 4 cards without returning any to the deck between draws. What is the chance that they are all face cards?