A card is selected from a deck of 52 cards. The probability that it is a red face card is
\(\dfrac{3}{26}\)
\(\dfrac{3}{13}\)
\(\dfrac{2}{13}\)
\(\dfrac{1}{2}\)
Step 1: A standard deck has 52 cards in total.
Step 2: The cards are divided into two colors:
Step 3: Face cards are Jack (J), Queen (Q), and King (K).
Step 4: Each suit (♥, ♦, ♣, ♠) has 3 face cards (J, Q, K).
Step 5: We only want red face cards. There are 2 red suits (♥ and ♦). So:
Number of red face cards = \(3 + 3 = 6\).
Step 6: Probability formula is:
\( P(E) = \dfrac{\text{Favourable outcomes}}{\text{Total outcomes}} \)
Here, favourable outcomes = 6, total outcomes = 52.
Step 7: So, \( P = \dfrac{6}{52} = \dfrac{3}{26} \).
Final Answer: Option (A).