Question

In a deck of card. 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

Answer 1

There are 4 suits in a pack of 52 cards

13- Heart

13- Diamond

13- Spades

13- Clubs

Each suits has 1 ace , 1jack, 1king , 1queen

Face Cards are Jack, king ,queen. So there are 3 face cards.

Total number of face cards =12

26- red card , 26- black card

(i) Since There are 26 red Cards and a total of 2 kings are there.

So P(a king of red colour) = 2/26

(ii) Total number of face cards = 12

So P(a face card) = 12/52

(iii) Total number of red cards =26

Total number of red face cards = 6

P(a red face card) = 6/26

(iv) P(a jack of heart) = 1/13

(v) P(a spade) = 13/52

(vi) P(a queen of diamond) = 1/13