Question

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

• A. $\frac{5}{13}$
• B. $\frac{4}{13}$
• C. $\frac{2}{13}$
• D. $\frac{1}{26}$

Answer 1

The correct option is A $\frac{5}{13}$

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

Cards of heart and diamond are red cards.

Number of heart and diamond cards $=13+13=26$

Number of face cards in each suits namely heart and diamond $=3+3=6$

Therefore, total number of non-face cards of red colour out of $52$ cards $=26-6=20$

P(getting a non-face red colour) $=$ $\frac{Numberoffavourableoutcomes}{Numberoftotalpossibleoutcomes}$

$=\frac{20}{52}=\frac{5}{13}$