One card is drawn at random from a well-shuffled pack of 52 cards. What is the probability that the card drawn is a face card?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(\frac{3}{13}\)
A pack of 52 cards has four suits, and each suit has three face cards: the king, the queen and the jack. Every card is equally likely to be drawn.
Face cards: 3 in each of the 4 suits, \(3\times4=12\)
Probability = face cards ÷ all cards \(\displaystyle=\frac{12}{52}=\frac{3}{13}\)
Tip: The ace is not a face card. Counting the four aces as well gives 16 cards and the probability \(\frac{4}{13}\), which is a wrong option here.