Question

Given a fair deck of playing cards, what is the probability of picking a black, face card?

• A. $\frac{1}{4}$
• B. $\frac{1}{13}$
• C. $\frac{3}{26}$
• D. $\frac{4}{13}$

Answer 1

The correct option is C $\frac{3}{26}$

Total number face cards $=12$
Total number black cards $=26$
Total number black, face cards $=3+3=6$
Hence, $P\left(\text{Black, Face Cards}\right)=\frac{6}{52}=\frac{3}{26}$