Question 15 of 55intermediate🔧 ApplyShort Answer3 marks
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?
(i)
Answer
P(queen) = 1/5
(ii)
Explanation
This question tests understanding of probability in two scenarios: simple probability and conditional probability after removing an item. For part (i), we calculate probability with all 5 cards present. For part (ii), since the queen is removed, the sample space reduces to 4 cards, affecting subsequent probabilities.