Question

A card is drawn from a pack of playing cards. The probability that the card drawn at random is either a queen or a king is

• A. $\frac{3}{4}$
  
• B. $\frac{1}{13}$
  
• C. $\frac{2}{3}$
  
• D. $\frac{2}{13}$
  

Answer 1

The correct option is D $\frac{2}{13}$


Total number of playing cards = 52
Since, in a pack of cards, there are 4 kings and 4 queens.
$\therefore \text{Total number of favourable outcomes}=8$
$\therefore \text{P(Either a king or a queen)}=\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$
$=\frac{8}{52}$
$=\frac{2}{13}$
Hence, the correct answer is option (d).