Question

In a deck of fair playing cards, what is the probability of picking a red, numbered card?

• A. $\frac{4}{13}$
• B. $\frac{1}{4}$
• C. $\frac{9}{26}$
• D. None of the above

Answer 1

The correct option is C $\frac{9}{26}$

Number of the numbered cards $=9\times 4=36$

Number of the red numbered cards $=\frac{36}{2}=18$

Total number of playing cards $=52$

Hence,
$\text{P(Red, Numbered)}=\frac{18}{52}$
$=\frac{9}{26}$