Question

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting
(i) a king of red suit (ii) a face card
(iii) a red face card (iv) a queen of black suit
(v) a jack of hearts

Answer 1

Correct Answer - ` (i) 1/26 (ii) 3/13 (iii) 3/26 (iv) 1/26 (v) 1/52 (vi) 1/4 `
(i) There are 4 kings of red suits.
` :. ` P(getting a king of a red shuit) ` = 2/ 52 = 1/26`.
(ii)There are 12 face cards in all.
` :. ` P(getting a face card) ` = 12/52 = 3/13`.
(iii) There are 6 red face cards.
` :. ` P(getting a red face card) ` = 5/52 = 3/26`.
(iv) There are 2 queens of black suits.
` :. ` P(getting a queen of a black suit) ` = 2/52 = 1/26`.
(v) There is 1 jack of hearts.
`:. ` P(getting a jack of hearts) ` = 1/52`.
(vi) There are 3 cards of spades.
` :. ` P(getting a spade) ` = 13/52 = 1/4`.