alleryWhat is the probability that a randomly drawn card from a 52-card deck is a FACE CARD (King, Queen, or Jack)?
A$1/13$
B$2/13$
C$3/13$
D$4/13$
Answer & Solution
Correct answer: C. $3/13$
1. Face cards in a standard deck: King, Queen, Jack — 3 ranks. Each rank has 4 cards (one per suit).
2. Total face cards: $3 \times 4 = 12$.
3. $P(\text{face card}) = 12/52 = 3/13$.
4. Quick sanity: roughly $1/4$ of cards are face cards — this matches $12/52 \approx 0.23$.
5. Option A is just $P(\text{one rank})$. Option B is $P(\text{two ranks})$. Option D would require 16 face cards.
_Source: syllabus Mathematics, Ch 14, §14.2.2 + card examples, p. 13–14._
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