Probability Of Drawing: An ace and two face cards all of the same suit.

Ex: Ace of spades, King of Spades, and Queen of spades.

I know there are 4/52 chance of drawing an Ace.

But after i get that ace, i then use the suit of whatever ace i drew, so if it was a spade like in the example i would then find the probability of drawing, without replacement, the face cards that are in the spades category, which would be 3/12(minus one because the ace was drawn and therefore removed a spade) ??

After this i confuse myself, anyone care to put me on the correct path and/or provide me with an answer so that i can figure this out ?

Thanks,

Frank