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# 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) $$= \ \frac{1}{52} \ = \ 0.019$$