ANSWER
[tex]\frac{2}{52}[/tex]EXPLANATION
In a pack of 52 cards, there are four suits: two black suits and two red suits.
Each suit of cards contains one king. This implies that there are 2 kings of black cards.
Therefore, the probability that the drawn card is a king of black is the number of kings of black cards divided by the total number of cards.
That is:
[tex]P=\frac{2}{52}[/tex]That is the answer.
