Question

A card is selected at random from a deck of 52 playing cards. The probability of not getting a face card is

• A.
  $\frac{12}{13}$
• B.
  $\frac{10}{13}$
• C.
  $\frac{11}{52}$
• D.
  $\frac{3}{13}$

Answer 1

The correct option is B

$\frac{10}{13}$
otal number of cards = 52

Total number of face cards = 12

$\therefore P\left(\text{face card}\right)=\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}=\frac{12}{52}=\frac{3}{13}Thus,P(non-facecard)=1-P\left(facecard\right)=1-\frac{3}{13}=\frac{10}{13}$


Hence, the correct answer is option b.