A card is drawn at random from a well -shuffled deck of 52 cards. Find the probability of getting
(i) a queen (ii) a diamond
(iii) a king or an ace (iv) a red ace.

Answer

` (i) 1/13 (ii) 1/4 (iii) 2/13 (iv) 1/26`

Explanation

(i) There are 4 queens.
` :. ` P(getting a queen) ` = 4/52 = 1/13`.
(ii) There are 13 diamonds.
` :. ` P(getting a diamond) = `13/52 = 1/4`.
(iii) There are 4 kings and 4 aces.
` :. ` P(getting a king or an ace) ` = 2/52 = 1/26`.
(iv) There are two red kings.
` :. ` P(getting a red king) ` = 2/52 = 1/26`.