Discussion
One card is drawn randomly from a well-shuffled pack of 52 cards. The probability of the drawn card being a face card is :
Answer: D
The probability of a face card is \(\frac{3}{13}\).
Face cards are the jack, queen and king of each of the four suits, 3 × 4 = 12 cards in all. So:
\[ P = \frac{12}{52} = \frac{3}{13} \]
1/13 is the probability of one particular rank (say, a king), 2/13 would count only two ranks, and 1 would mean every card is a face card. Counting the aces as face cards, a common error, would give 16/52 = 4/13, which is not offered.
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