One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting

(i) a king of red colour
(ii) a face card
(iii) a red face card
(iv) the jack of hearts
(v) a spade
(vi) the queen of diamonds

Total number of possible outcomes = 52

\( P(E) \ = \ \frac{Number \ of \ favourable \ outcomes}{Total \ number \ of \ outcomes} \)

(i) Total numbers of king of red colour = 2

P (getting a king of red colour) \(= \ \frac{2}{52} \ = \ \frac{1}{26} \ = \ 0.038 \)

(ii) Total numbers of face cards = 12

P (getting a face card) \(= \ \frac{12}{52} \ = \ \frac{3}{13} \ = \ 0.23 \)

(iii) Total numbers of red face cards = 6

P (getting a king of red colour) \(= \ \frac{6}{52} \ = \ \frac{3}{26} \ = \ 0.11 \)

(iv) Total numbers of jack of hearts = 1

P (getting a king of red colour) \(= \ \frac{1}{52} \ = \ 0.019 \)

(v) Total numbers of king of spade = 13

P (getting a king of red colour) \(= \ \frac{13}{52} \ = \ \frac{1}{4} \ = \ 0.25 \)

(vi) Total numbers of queen of diamonds = 1

P (getting a king of red colour) \(= \ \frac{1}{52} \ = \ 0.019 \)