9. A card is drawn at random from well shuffled pack of 52 cards. Find the probability that the card drawn is :
(i) a spade
(ii) not of diamond
Sol. There are 52 cards in a pack
∴ n (S) = 52
(i) Let A be event that the card drawn is a spade card
∴ There are 13 spade cards
∴ n (A) = 13
P (A) = n (A)/n (S)
∴ P (A) = 13/52
∴ P (A) = ¼
(ii) Let B be event that the card drawn is not a diamond
There are 13 diamond cards
∴ There are 39 cards which are not of diamond
∴ n (B) = 39
P (B) = n (B)/n (S)
∴ P (B) = 39/52
∴ P (B) = 3/4
