Question

A card is drawn at random from a pack of 52 cards. Find the probability that the card was drawn is:
(i) A black king
(ii) Either a black card or a king
(iii) A jack, a queen or a king.

Answer 1

(i) There are two black kings, spade and clover.
Probability for drawn card is a black king = $\left(\frac{2}{52}\right)=\left(\frac{1}{26}\right)$
(ii) There are 26 black cards and 4 kings, but two kings are already black.
Hence, count the red kings cards only.
Thus, the probability =$\left(\frac{26+2}{52}\right)=\left(\frac{28}{52}\right)=\left(\frac{7}{13}\right)$
(iii) There are 4 jacks, 4 queens and 4 kings in a deck.
Probability of drawing either of them $=\left(\frac{4+4+4}{52}\right)=\left(\frac{12}{52}\right)=\left(\frac{3}{13}\right)$