Question

One card is drawn at random from a well - shuffled deck of 52 cards.
What is the probability of getting a face card?
(a) $\frac{1}{26}$ (b) $\frac{3}{26}$ (c) $\frac{3}{13}$ (d) $\frac{4}{13}$

Answer 1

A deck of playing cards consists of 52 cards out of which 26 are black cards and other 26 are red cards, where red cards consists of 13 cards of heart♥, 13 cards of diamond♦ and black cards consists of 13 cards of spades ♠and 13 cards of club♣.

52 playing cards are divided into four parts (called suits) 13 cards each namely heart, Diamond, spade and club.

13 cards in each suit are king, queen, Jack, 10, 9 ,8 ,7 ,6 ,5 ,4 ,3 &2.

King, queen and jack are called face cards ,so total face cards= 12

Numbers of face cards = 12
Probability of getting a face card = 12/52 = 3/13

P(face card)= 3/13