Question

From a pack of 52 cards, jacks, queens, kings and aces of red colour are removed. From the remaining cards, one card is drawn at random. Find the probability that the card drawn is (a) a black queen (b) a picture card.

Answer 1

After removing jacks, queens, kings, and aces of red colour, the number of remaining cards = 52 − ( 2 + 2 + 2 + 2) = 44

Total number of all possible outcomes= 44

(i) Number of black queen = 2
∴ P( getting a black queen) = $\frac{2}{44}=\frac{1}{22}$

(ii) Number of picture cards left among the remaining 44 cards = ( 2 kings + 2 queens + 2 jacks) = 6
∴ P( getting a picture card) = $\frac{6}{44}=\frac{3}{22}$