Question

One card is drawn from a well - shuffled deck of 52 cards. Find the probability of getting
(i) a king of red suit (ii) a face card
(iii) a red face card (iv) a queen of black suit
(v) a jack of hearts (vi) a spade.

Answer 1

(i) a king of red suit
favourable outcome = 2
prbability=2/52 = $\frac{1}{26}$
(ii) a face card
total number of face cards = 12
prbability=$\frac{12}{52}$
(iii) a red face card
favourable outcome =6
prbability=6/52 = $\frac{3}{26}$
(iv) a queen of black suit
favourable outcome = 2
prbability=2/52= $\frac{1}{26}$
(v) a jack of hearts
favourable outcome = 1
prbability=1/52
(vi) a spade.
favourable outcome = 13
prbability=13/52 = $\frac{1}{4}$