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 a side, what is the probability that the second card picked up is (a) an ace? (b) a queen?

Question

Five cards &#x2013; 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 a side, what is the probability that the second card picked up is (a) an ace? (b) a queen?

Philoid · Accepted Answer

Total number of possible outcomes, n(S) = 5

(i) Number of favorable outcomes, n(E) = 1

(ii) If queen is drawn and put aside, total number of remaining cards, n(S) = 4

a) Number of favorable outcomes, n(E) = 1

b) Total number of events of getting a queen = 0 as there is no queen

∴ P(E) = 0