Question

(i) (ii) (iii) (iv) One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a face card. a non face card an ace of black suit a king of diamond

Answer 1

Answer:

Total no. of cards = 52

P(E) =No. of favourable outcomes/Total number of outcomes

(i) No. of face cards = 12 (3 per suit, king queen jack)

P(getting a face card)

= No. of face cards/Total no. of cards

= 12/52

= 3/13

(ii) No. of non face cards = 40 (10 per suit, Ace-10)

P(getting a non face card)

= No. of non face cards/Total number of cards

= 40/52

= 10/13

OR (alternate method)

P(E) + P(not E) = 1

P(getting a face card) + P(getting a non face card) = 1

P(getting a non face card) = 1 - P(getting a face card)

P(getting a non face card)

= 1 - 3/13

= (13- 3)/13

= 10/13

(iii) No. of black aces = 1

P(getting a black ace)

= No. of black aces/Total number of cards

= 1/52

(iv) No. of diamond kings= 1

P(getting a diamond king)

= No. of diamond kings/Total number of cards

= 1/52