Three cards are drawn one after another without replacement from a well-shuffled deck…
MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
Three cards are drawn one after another without replacement from a well-shuffled deck of 52 playing cards. Solve all parts.
(i) Find the probability that the first card is a king.
(ii) Given that the first card is a king, calculate the probability that the second card is a queen.
(iii) Determine the probability that the first card is a king, the second card is a queen and the third card is an ace.
(iv) Compute the probability that exactly one of the three drawn cards is a face card (king, queen or jack).