A standard pack of 52 playing cards is thoroughly shuffled and 5 cards are dealt at random
MATHEMATICS · Subjective · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations
Problem
A standard pack of 52 playing cards is thoroughly shuffled and 5 cards are dealt at random.
(i) Determine the number of 5-card hands that contain at least one ace and at most two queens.
(ii) Hence find the probability that a randomly dealt 5-card hand satisfies both these conditions simultaneously.