Step 1: Understand the Deck Composition.
A standard deck of 52 cards consists of:
4 suits (hearts, diamonds, clubs, spades).
Each suit has 13 cards: 2 through 10, Jack, Queen, King, and Ace.
The "face cards" are the Jack, Queen, and King of each suit.
Therefore, there are:
\[
3 \text{ face cards per suit} \times 4 \text{ suits} = 12 \text{ face cards in total}.
\]
Step 2: Calculate the Probability.
The probability of drawing a face card is given by:
\[
P(\text{Face Card}) = \frac{\text{Number of Face Cards}}{\text{Total Number of Cards}} = \frac{12}{52}.
\]
Simplify the fraction:
\[
P(\text{Face Card}) = \frac{12}{52} = \frac{3}{13}.
\]
Step 3: Analyze the Options.
Option (1): \( \frac{1}{26} \) — Incorrect, as this does not match the calculated value.
Option (2): \( \frac{3}{13} \) — Correct, as it matches the calculated value.
Option (3): \( \frac{3}{26} \) — Incorrect, as this does not match the calculated value.
Option (4): \( \frac{1}{52} \) — Incorrect, as this does not match the calculated value.
Step 4: Final Answer.
\[
(2) \quad \frac{3}{13}
\]