A normal deck of cards has 52 cards, consisting of 13 each of four suits:

spades, hearts, diamonds, and clubs. Hearts and diamonds are red, while spades and clubs are black. Each suit has an ace, nine cards numbered 2 through 10, and three face cards. The face cards are a jack, a queen, and a king. Answer the following questions for a single card drawn at random from a well-shuffled deck of cards.

a. What is the probability of drawing a king of any suit?

b. What is the probability of drawing a face card that is also a spade?

c. What is the probability of drawing a card without a number on it?

d. What is the probability of drawing a red card? What is the probability of drawing an ace? What is the probability of drawing a red ace? Are these events (“ace” and “red”) mutually exclusive? Are they independent?

e. List two events that are mutually exclusive for a single draw from a deck of cards.

f. What is the probability of drawing a red king? What is the probability of drawing a face card in hearts? Are these two events mutually exclusive? Are they independent?