Question

A card is drawn from pack of cards. Find the probability of
a) drawing a queen of red colour
b) card drawn having prime number of spade
c) a face card

Answer 1

there 52 card in a pack.13 spades,13clubs,13 diamonds,13 hearts.
hearts and diamonds are red and other two are black.
each contains 3 face cards, king,queen,jack
Now,
(1) num of red queens=2
probability= 2/52= 1/26

(2) 2,3,5,7 are the prime spades.ie 4 prime cards in spade.
probability=4/52 =1/13

(3)each contains 3 face cards.So total face cards =3 * 4=12
probability= 12/52 =3/13