Probability Applications - Drawing from a Deck of Cards

#1
Hi! I am having trouble figuring out how to go about solving the following problem:

"Find the probability of obtaining the given 5-card poker hand. - three of a kind"

I have tried several different ways, most recently
C(52,3) x C(13,4) x C(4,3)

as well as

C(4,3)/C(52,2)

However neither of these are correct.

Any help would be much appreciated!
 

Dason

Ambassador to the humans
#2
Would you mind explaining your reasoning for those attempts. It will help us guide you in your thinking and hopefully help you figure these out better in the future.