6 cards are drawn at random from a standard deck.

Question

6 cards are drawn at random from a standard deck.

Find the probability that all the cards are hearts. 1352​Incorrect  

Find the probability that all the cards are face cards. 1252​Incorrect  

Note: Face cards are kings, queens, and jacks.

Find the probability that all the cards are even. 2452​Incorrect  

(Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13)

Answers can be submitted as unreduced fractions.



Answer 1

(13/52)(12/51)(11/50)(10/49)(9/48)(8/47) = ?

(16/52)(15/51)(14/50)(13/49)(12/48)(11/47) = ?

(48/52)(47/51)(46/50)(45/49)(44/48)(43/47) = ?