Step 1: In a standard deck of 52 playing cards, there are 4 kings (one from each suit: hearts, diamonds, clubs, and spades).
Step 2: Probability is calculated as:
\[
P(\text{drawing a king}) = \frac{\text{Number of kings}}{\text{Total number of cards}} = \frac{4}{52} = \frac{1}{13}
\]
Final Answer: \( \boxed{\frac{1}{13}} \)