Q28 of 47 Page 1

From a pack of 52 playing cards, Jacks and Kings of red colour and Queens and Aces of black colour are removed. The remaining cards are mixed and a card is drawn at random. Find the probability that the drawn card is

(i) a black Queen


(ii) a card of red colour


(iii) a Jack of black colour


(iv) a face card

Total no. of playing cards = 52

No. of Red cards removed = (2 + 2) = 4


No. of Black cards removed = (2 + 2) = 4


Remaining no. of cards = (52-8) = 44


No. of black queens in the new pack = 0


(i) Probability that the drawn card is a black Queen = 0


No. of red cards remaining = (26-4) = 22


(ii) Probability that the drawn card is a red card =


No. of Jack of black colors present = 2


(iii) Probability that the drawn card is a card of black color =


No. of face cards remaining = (12-6) = 6


(iv) Probability that the card drawn is a face card =


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