out of a deck of 52 playing cards, two black kings and 4 red cards( not king) are removed. A card is drawn at random. Find the probability that the card drawn is :
(a) a black jack
(b) a black queen
(c) a black card
(d) a king
We know that 4 red cards and 2 black king are removed. Therefore, no. of cards left in the deck = 52 - 6 = 46 a) No. of black jacks in a deck = 2 Total number of cards = 46 Probability = 2/46 = 1/23
b) No. of black queens in a deck = 2 Total number of cards = 46 Probability = 2/46 = 1/23
c) No. of black cards = 13 - 2 = 11 (As two black kings have been removed) Total number of cards = 46 Probability = 11/46
d) No. of kings = 4 - 2 = 2 (As two black kings have been removed) Total number of cards = 46 Probability = 2/46 = 1/23
