Question

One card is drawn randomly from a well shuffled pack of $52$ playing cards. Find the probability that the drawn card is a black king.

Answer 1

The total number of outcomes of a deck of $52$ cards are $52$.

Since, there are $2$ cards of black king and $2$ cards of red king in a deck of $52$ cards, therefore, the total number of favourable outcome that it is a black king is $2$.

Therefore, probability $P$ of not getting a black king is:

$P=\frac{2}{52}=\frac{1}{26}$

Hence, the probability of not getting a black kingis $\frac{1}{26}$.