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).

Question

Philoid · Accepted Answer

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

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).