Option B: $\dfrac{3}{13}$
In a deck of 52 cards, face cards are kings, queens and jacks — 4 of each suit, so 12 face cards total.
$$P(\text{face card}) = \frac{12}{52} = \frac{3}{13}$$
Source: Chapter 14, Section 14.1
The key fact from the textbook: "Kings, queens and jacks are called face cards." There are 4 suits × 3 face cards = 12 face cards out of 52 total cards. A common mistake is counting aces as face cards — they are not. Simplify 12/52 by dividing both by 4 to get 3/13.