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 a king of black card

Answer 1

King diamond + Queen diamonds = 1 + 1 = 2  ...(1)

Queen hearts + Jack of hearts = 1 + 1 = 2  ...(2)

Jack spade + King of spades = 1 + 1 = 2   ...(3)

Remaining number of cards = 52 – (6)

n(S) = 46

Let B be the event of getting a king of black card

n(B) = (2 – 1) ...[from (3) one black card is removed]

n(B) = 1

P(B) = `("n"("B"))/("n"("S")) = 1/46`