Question

A card is drawn at random from a pack of $52$ cards. Find the probability that the card drawn is not a face card.

• A. $\frac{3}{13}$
• B. $\frac{12}{52}$
• C. $\frac{10}{13}$
• D. None of the above

Answer 1

The correct option is C $\frac{10}{13}$

Total number of cards $=52$

Number of face cards $=12$

Number of cards other than face cards $=52-12=40$

Probability of getting cards other than face cards is $\text{P(F)}=\frac{\text{Number of favourable outcome}}{\text{Total number of outcome}}$

$\Rightarrow \text{P(F)}=\frac{40}{52}=\frac{10}{13}.$