Question

You randomly select three cards from a standard deck of 52 playing cards. What is the probability that all three cards are face cards when you replace each card before selecting the next card?

Answer 1

probability of first face card ( with total 12 face cards amongst 4 suits), is 12/52, once one face card is removed, the probability of next card is 11/51, and the next is 10/50. This probability of all 3 being face cards is ( 12/52)* (11/51) *(10/50 ) =1320/132600= 0.00995475113 ~0.01, i.e. one in hundred.