Question

Five cards—the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.
(i) What is the probability that the card is the queen ?
(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?

Answer 1

Here, the total number of possible outcomes = 5.
(i) Since, there is only one queen
Favourable number of elementary events = 1
Probability of getting the card of queen = 1/5.
(ii) Now, the total number of possible outcomes = 4.
(a) Since, there is only one ace
Favourable number of elementary events = 1
Probability of getting an ace card = 1/4.
(b) Since there is no queen (as queen is put aside)
Favourable number of elementary events = 0
Probability of getting a queen = 0/4 = 0.