Three cards are drawn without replacement from a well-shuffled standard deck of 52 playing cards. Find the probability that none is a face card.

Answer 1

There are 12 face cards, and 40 others in a standard deck.

probability of no face cards after 3 draws is just

40/52 * 39/51 * 38/50

Answer 2

Three cards are selected at random without replacement, from a shuffled pack of 52 playing card. Using a tree diagram find the probability distribution of the number of honours (A,K,Q,J,10) obtained