Bill draws two cards from a standard deck of 52 cards without replacement. What is the probability the first card he draws is the ace of hearts and the second card he draws is a king?
What I did: A regular card deck has 52 cards, therefore, the chances of getting the ace of hearts as the first card is :
$\frac{1}{52}$
Then, since one card is used we are left with 51 cards. There are four king cards in the set so I can represent that as :
$\frac{4}{51}$
Then I get $\frac{1}{52}$$*$$\frac{4}{51}$ which simplifies to $\frac{1}{156}$.
I have a feeling I am wrong because we draw 4 cards so it could be $\frac{4}{48}$. Any help on the question?
Edit: The cards are not replaced after the ace is drawn