Question

The king and queen of diamonds, queen and jack of hearts, jack and king of spades are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the card is

(i) a clavor

(ii) a queen of red card

(iii) a king of black card

Answer 1

(i.e) remaining number of cards = 52 – 6 = 46

(i) P(a clavor) = \(\frac{13}{46}\)

(ii) P(queen of red card) = 0 as both Queen of diamond and heart have been removed.

(iii) only K of clavor is in the deck

⇒ P(king of black card) = \(\frac{1}{46}\)