Drawing a face card — Probability Aptitude Question
Drawing a face card: One card is drawn from a well-shuffled pack of 52. What is the probability that it is a face… Answer and worked solution on CodeKairo.
- Topic: Probability
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 45 seconds
Question
One card is drawn from a well-shuffled pack of 52. What is the probability that it is a face card?
Options
- 1/13
- 3/13
- 1/4
- 4/13
Show the answer and the worked solution
Correct answer: B. 3/13
Worked solution
- Face cards = 3 per suit × 4 suits = 12.
- Probability = 12/52 = 3/13.
Answer: 3/13.
The idea
Know the pack: 52 cards, 4 suits of 13, 12 face cards, 26 red and 26 black, 4 aces. Most card questions reduce to counting from these.
Shortcut. Work in one suit: 3 face cards (J, Q, K) out of 13, and every suit is the same, so 3/13 without counting to 52.
Common trap. "4/13" — counting the ace with the jack, queen and king (16 cards); only jacks, queens and kings are face cards.