Q24 of 47 Page 1

Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is

(i) a king (ii) a red color (iii) a face card (iv) a queen

Number of red queens in a pack of 52 cards = 2

Number of black jacks in a pack of 52 cards = 2


Number of cards left after removing the above cards = 52 – 4 = 48


(i) Number of kings in a pack of 52 cards = 4


P (a king) =


(ii) Number of red color cards in a pack of 52 cards (except red queens) = 24


P (a red color card) =


(iii) Number of face cards in a pack of 52 playing cards (except red queens and black jacks) = 8


P (a face card) =


(iv) Number of queens in a pack of 53 playing cards (except red queens) = 2


P (a queen) =


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