Question

One card is drawn at random from a pack of $52$ cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?

• A. $\frac{5}{13}$
• B. $\frac{10}{13}$
• C. $\frac{1}{13}$
• D. $\frac{1}{26}$

Answer 1

Answer: (B)

$\frac{10}{13}$

Total cards: $52$

Number of face card: $12$

Probability of getting a face card:

$P\left(F\right)=\frac{12}{52}=\frac{3}{13}$

Probability of not getting a face card:

$P\left(F^{\prime }\right)=1-P\left(F\right)=1-\frac{3}{13}=\frac{10}{13}$