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 black jack
(iv) a picture card (Jacks, queens and kings are picture cards).
Total number of possible outcomes, n(S) = 52 – 2 – 2 – 2 – 2 = 44
(i) Number of favorable outcomes, n(E) = 2
(ii) Number of favorable outcomes, n(E) = 26 – 8 = 18
(iii) Number of favorable outcomes, n(E) = 2
(iv) Number of favorable outcomes, n(E) = 6