Question

One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting a red face card.

• A. $\frac{12}{13}$
• B. $\frac{11}{26}$
• C. $\frac{3}{26}$
• D. $\frac{1}{26}$

Answer 1

The correct option is C $\frac{3}{26}$

Total number of cards in a deck $=52$

Cards of diamonds and hearts are red cards.

Number of face card in diamonds (king, queen and jack) $=3$

Number of face card in hearts (king, queen and jack) $=3$

Therefore, total number of red face card out of $52$ cards $=3+3=6$

$P$ (Getting a red face card) $=$ $\frac{\text{Number of favourable outcomes}}{\text{Number of total possible outcomes}}$

$=\frac{6}{52}=\frac{3}{26}$