Question

A card is drawn at random from a well shuffled pack of $52$ playing cards. Find the probability that the drawn card is neither a king nor a queen.

Answer 1

Total number of possible outcomes $=52$

Let $E$ be the event that the drawn card is neither a king nor a queen.

Total number of kings and queens $=4+4=8$

$\therefore$, there are $52-8=44$ cards that are neither king nor queen.

Total number of favourable outcomes $=44$

$\therefore$ Required probability$=P\left(E\right)=\frac{Favourableoutcomes}{Totalnumberofoutcomes}=\frac{44}{52}=\frac{11}{13}$