Question

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is either a king or a queen.

Answer 1

Find the probability that the card drawn is either a king or a queen.

Let $\text{P}\left(\text{E}\right)$ be the probability that the card drawn is either a king or a queen.

Total number of cards in a deck$=52$

$\therefore$Number of possible outcomes$=52$

Total number kings$=4$

Total number of queens$=4$

$\therefore$Number of favourable outcomes$=4+4$ $=8$

We know that $\text{P}\left(\text{E}\right)\text{=}\frac{\text{Number of favourable outcomes}}{\text{Number of possible outcomes}}$

So, $\text{P}\left(\text{E}\right)$$=\frac{8}{52}$$=\frac{2}{13}$

Hence, the probability that the card drawn is either a king or a queen is$\frac{\mathbf{2}}{\mathbf{13}}$