Total number of cards in a deck of cards = 52
Total number of outcomes = 52
(i) Let A denote the event of getting a king of red colour.
There are two cards in favour of getting a king of red colour i.e., King of heart and King of diamond.
Number of outcomes in favour of event A = 2
∴P(A) = 2/52 = 1/26
(ii) Let B denote the event of getting a face card.
There are 12 cards in favour of getting a face card i.e., 4 King, 4 Queen and 4 Jack cards.
Number of outcomes in favour of event B = 12
∴P(B) = 12/52 = 3/13
(iii) Let C denote the event of getting a queen of diamond.
There is one queen of diamond in the deck of cards.
Number of outcomes in favour of event C = 1
∴P(C) = 1/52