Question

4. Susannah is drawing a card from a standard 52-card deck. A standard deck of cards

contains four suits -- diamond, club, spade & heart. Each suit has 13 cards. Face cards (12)

are Jack, Queen, and King cards.

a. What is the probability that the card she draws is a diamond?

b. What is the probability that the card she draws is a face card?

c. What is the probability that the card she draws is a face card and a diamond?

d. What is the probability that the card she draws is a face card or a diamond?

Answer 1

1/4(25%), 3/13(23%), 3/52(6%), 11/26(42%)

Explanation:

a. 4 suits, therefore the probability is 1/4

b. there are 12 face cards. therefore the probability is 12/52 which simplifies to 3/13

c. there are only 3 cards that are diamonds and face cards. Therefore, it is 3/52

d. there are 12 face cards and 13 cards of each suit. But there are 3 that overlap. therefore, there are 22 in total, so 22/52. it simplifies to 11/26.