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 kind nor a queen.

Answer 1

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

Total number of possible cases = 52.

Total number of cards that are king and those that are queen in the pack of playing cards = 4 + 4 = 8.

Therefore, there are 52-8 = 44 cards that are neither a king nor a queen.

Total number of favorable cases = 44.

$\therefore$ Required probability $=P\left(E\right)=\frac{Favourablenumberofcases}{Totalnumberofcases}=\frac{44}{52}=\frac{11}{13}$
Thus, the probability that the drawn card is neither a king nor a queen is $\frac{11}{13}$