Katie is at a casino and bets on only the face cards (j, q, and k). the casino dealer deals katie a card from a 26-card deck that contains only clubs and spades. what is the probability that katie will win this round?

To answer this question accurately, one must understand the fact that there would be a total of 6 face cards in the cards deck of 26 cards. Three face cards will be from clubs and 3 will be from spades.
Then
Probability that Kate will win this round = 6/26
                                                              = 3/13
I hope the procedure is clear enough for you to understand.

(J,K,Q) clubs, (J,K,Q) spades...she is only betting on 6 cards...out of 26.

6/26 reduces to 3/13 <==