Probability Applications - Drawing from a Deck of Cards

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


However neither of these are correct.

Any help would be much appreciated!


Ambassador to the humans
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.