A card is drawn from well shuffled pack of 52 playing cards. Find the probability that the card drawn is a face card.
Q.2 (B)(iv) A card is drawn from well shuffled pack of 52 playing cards. Find the probability that the card drawn is a face card.
Q.2 (B)(iv) A card is drawn from well shuffled pack of 52 playing cards. Find the probability that the card drawn is a face card.
Best answer
Answer: \(\dfrac{3}{13}\)
\(n(S) = 52\).
There are 4 suits and each suit has 3 face cards (J, Q, K), so \(n(A) = 4 \times 3 = 12\).
\(P(A) = \dfrac{n(A)}{n(S)} = \dfrac{12}{52} = \dfrac{3}{13}\).
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