What is the probability of drawing the King of Spades from a standard deck of 52 cards, and which option matches this probability?

A standard pack of cards contains 52 cards. When one card is drawn, the total number of possible outcomes is 52.

$$n(S) = 52$$

We want to find the probability of drawing the King of Spades. In a standard deck of 52 cards, there is only one King of Spades.

$$n(E) = 1$$

The probability of an event is given by the formula:

$$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$$ $$P(\text{King of Spades}) = \frac{n(E)}{n(S)} = \frac{1}{52}$$

The calculated probability is $\frac{1}{52}$.
Comparing this with the given options:
A. $\frac{1}{13}$
B. $\frac{1}{26}$
C. $\frac{1}{52}$
D. $\frac{4}{13}$

The correct option is C.

The final answer is $\boxed{\text{C}}$