Question

A card is drawn at random from a well shuffled deck of 52 playing cards. the probability of getting a face card is

(A) 1/2

(B) 3/13

(C) 4/13

(D) 1/13

Answer 1

Correct option is (B) 3/13

Consider S as the sample space

In a pack, there are 52 playing cards

n(S) = 52

Consider B as the event that the card drawn is a face card

In a pack, total face card = 12

n(B) = 12

So the probability of it being a face card is

P (B) = n(B)/ n(S)

= 12/52

= 3/13

Therefore, the probability of it being a face card is 3/13.