One card is drawn at random from 52. What is the probability it is a face card (Jack, Queen, or King)?

Given data

• Face cards per suit: J, Q, K ⇒ 3 per suit.
• Number of suits = 4.

Concept/ApproachTotal face cards = 3 × 4 = 12; equally likely draws from 52.

Step-by-step calculationProbability = 12/52 = 3/13

Verification/AlternativeNon-face (A, 2–10) count: 13 − 3 = 10 per suit ⇒ 40 non-face; 12 face; 12/52 = 3/13.

Common pitfallsIncluding Aces as face cards; in this context they are not.

Final Answer3/13