Question

If a card is selected at random from a deck of 52 cards, then the probability of getting a red face card is

• A. \(\frac{3}{26}\)
• B. \(\frac{3}{13}\)
• C. \(\frac{2}{13}\)
• D. \(\frac{1}{2}\)

Answer 1

The Correct Option is A

A deck of 52 cards has 26 red cards (13 diamonds and 13 hearts). Each suit has 3 face cards (Jack, Queen, and King). Hence, the total number of red face cards is: \[ 3 (\text{face cards in hearts}) + 3 (\text{face cards in diamonds}) = 6 \] Thus, the probability of selecting a red face card is: \[ \text{Probability} = \dfrac{\text{Number of red face cards}}{\text{Total number of cards}} = \dfrac{6}{52} = \dfrac{3}{26} \]

The correct option is (A): \(\frac{3}{26}\)