Solution:
We have, the total number of possible outcomes = 52
So, n(S) = 52
(i) No. of face cards in a deck of 52 cards = 12 (4 kings, 4 queens and 4 jacks)
Event of drawing a face cards = E = (4 kings, 4 queens and 4 jacks)
So, n(E) = 12
Thus, probability of drawing a face card = n(E)/ n(S) = 12/52 = 3/13
(ii) Probability of not drawing a face card = 1 – probability of drawing a face card
Thus, probability of not drawing a face card = 1 – 3/13 = (13 – 3)/ 13 = 10/13