Steve shuffles a standard deck of $52$ playing cards and starts to turn them over one at a time. The first three cards he turns over are an ace, a four, and a jack.

1. How many cards are left in the deck?

   Hint (a):

   Subtract the number of cards he has turned over from the total number in the deck.

   Answer (a):

   $49$

2. How many of the remaining cards are aces?

   Hint (b):

   How many aces are there in a deck of cards? How many aces has Steve already turned over?

3. What is the probability that the fourth card will be an ace?

   Hint (c):

   You will need to use your answers from parts (a) and (b) to solve this problem.

   Answer (c):

   $\frac{\text{number of aces left}}{\text{number of cards left}} = \frac{3}{49}$

4. Instead of getting an ace, he gets a two as the fourth card. The fifth card is a five. What is the probability that the next card will be a king?

   Hint (d):

   After Steve removes $5$ cards, how many cards are left in the deck? How many of those cards are kings?