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

Difficulty: Easy

Correct Answer: 3/13

Explanation:


Given data

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

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


Step-by-step calculation
Probability = 12/52 = 3/13


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


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


Final Answer
3/13

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