In a standard deck of 52 playing cards, there are 4 kings (one for each suit: hearts, diamonds, clubs, and spades).
To find the probability of selecting a king, you can use the formula for probability:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case:
- Number of favorable outcomes (kings) = 4
- Total number of outcomes (total cards) = 52
So the probability of selecting a king is:
\[ \frac{4}{52} = \frac{1}{13} \]
Therefore, the correct answer is C. 1/13.