Question

Five cards - the ten, jack, queen, king and ace of diamonds are well shuffled with their faces downwards. One card is then picked up at random.

(a) What is the probability that the drawn card is the queen?

(b) If the queen is drawn and put aside and a second card is drawn, find the probability that the second card is

(i) an ace,

(ii) a queen [4 MARKS]

Answer 1

Concept: 1 Mark
Solution: 1.5 Mark each


Total number of cards = 5

(a) P(getting a queen) $=\frac{1}{5}$

(b) When the queen is set aside, remaining number of cards = 4

(i) P(getting an ace now) $=\frac{1}{4}$

(ii) P(getting a queen now) $=\frac{0}{4}=0$