Question

All the three face cards of spades are removed from a well-shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting.

(i) a black face card. (ii) a queen. (iii) a black card.

Answer 1

Total cards left in the pack = 52 – 3 = 49
(i) Number of black face cards = 6 – 3 = 3

P( a black face card) =3/49

(ii) Number of queens = 4 – 1 = 3

P (a queen) =3/49

(iii) Number of black cards = 26 – 3 = 23

P (a black card) =23/49