Question

From a pack of 52 playing cards jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is (i) a black queen (ii) a red card (iii) a ten (iv) a picture card (jacks, queen and kings are picture cards). Select the correct answer from above options

Answer 1

Number of cards removed = ` 2+2+2+2=8`. Total number of remaining cards = 52 - 8 = 44. Now, there are 2 jacks, 2 queens, 2 kings and 2 aces of black colour only. (i) Number of black queens = 2. `:. ` P(getting a black queen) ` = 2/44 = 1/22`. (ii) Remaining number of red cards = 26 - 8 = 18. `:. ` P(getting a red card) = `18/44 = 9/22`. (iii) Number of tens = 4. ` :. ` P(getting a tan) ` = 4/44 = 1/11`. (iv) We kown that jacks, queen and kings are picture cards. Out of 12 picture cards, it is given that 6 have been removed. So, the remaining number of picture cards = 12 - 6 = 6. ` :. ` P(getting a picture card) ` = 6/44 = 3/22`.