You select 7 cards randomly from a deck of 52 cards.

Question

You select 7 cards randomly from a deck of 52 cards.

What is the probability that all of the cards selected are face cards (i.e. jacks, queens, or kings)? 

Answer 1

There are 3 * 4 = 12 face cards

Then, P(selecting 7 face cards) = ways selecting 7 face cards of 12/ways selecting 7 cards of 52) =

C(12,7)/C(52,7) = 792/133784560 = 99/16723070 = 5.9200E-6