Question

The King, Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting

(i) a diamond

(ii) a queen

(iii) a spade

(iv) a heart card bearing the number 5.

Answer 1

King spade, Queen spade, Jack spade are removed

∴ total number of cards = 52 – 3 = 49.

(i) Prob(diamond) = \(\frac{13}{49}\)

(ii) Prob(queen) = \(\frac{4-1}{49}=\frac{3}{49}\)

(iii) Prob(spade) = \(\frac{13-3}{49}=\frac{10}{49}\)

(iv) Prob(heart bearing number 5) = \(\frac{1}{49}\)