Question

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) of red colour, (iii) a face card, (iv) a queen. Select the correct answer from above options

Answer 1

After removing 2 red queens and 2 black jacks, the number of remaining cards = 52-(2+2) = 48. (i) Out of 48 cards, there are 4 kings. `:. ` P(getting a king ) ` = 4/48 = 1/12`. (ii) Number of cards of red colour = 26 - 2 = 24. Total number of cards = 48. ` :. ` P(getting a card of red colour ) ` = 24/48 = 1/2 `. (iii) Number of face cards = 12- (2 + 2) = 8. Total number of cards = 48. ` :. ` P(getting a face card) ` = 8/ 48 = 1/6`. (iv) Number of queens in 48 cards = 4-2= 2. ` :. ` P(getting a queen) ` = 2/48 = 1/24`.