Find the probability that one card is king and the other is heart. Two cards are dealt from an ordinary deck of 52 cards (the sampling is without replacement). Find the probability that one card is king and the other is heart.
I'm having trouble figure out how to deal with the case where you pick up a king of hearts. Normally I would just multiple the separate probabilities together but as they are not independent? I'm not entirely sure how to proceed.

Upayan De's answers is slick, but maybe at tis stage you should prioritize structure over elegance.
Here is the "usual" way of attack
$\fbox{King of Hearts}\quad\fbox{3 other kings}\quad\fbox{12 hearts, no king}$
If you choose $1$ each from any two boxes, you are done, thus
$\dfrac{\binom11\binom31 + \binom11\binom{12}1 + \binom31\binom{12}1}{\binom{52}2}= \dfrac1{26}$
