Question

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

• A. $\frac{10}{13}$
• B. $\frac{5}{13}$
• C. $\frac{6}{13}$
• D. $\frac{3}{26}$

Answer 1

Answer: (A)

$\frac{10}{13}$

Total number of cards in a well-shuffled deck $=52$

Total number of face card out of $52$ cards $=3\times 4=12$

Total number of non-face card out of $52$ cards $=52-12=40$

P(getting a non face cards) $=$ $\frac{Numberoffavourableoutcomes}{Numberoftotalpossibleoutcomes}$

$=\frac{40}{52}=\frac{10}{13}$