Question

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

• A.
  $\frac{7}{26}$
• B.
  $\frac{1}{26}$
• C.
  $\frac{3}{26}$
• D.
  $\frac{3}{13}$

Answer 1

The correct option is C

$\frac{3}{26}$
Total number of cards = 52
There are three face cards (jack, queen and king) for each of the four suits.

So, the total number of face cards $=4\times 3=12$

$\therefore$ Number of red coloured face cards $=\frac{12}{2}=6$

$\therefore$ Required probability

$=\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}=\frac{6}{52}=\frac{3}{26}$
Hence, the correct answer is option c.